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Frontispiece

TELESCOPIC VIEWS OF THE PLANETS.

ELEMENTS OF ASTRONOMY

SIMON NEWCOMB, PH.D., LL.D.

FORMERLY PROFESSOR OF MATHEMATICS AND ASTRONOMY
JOHNS HOPKINS UNIVERSITY

NEW YORK-:- CINCINNATI-:. CHICAGO

AMERICAN BOOK COMPANY

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PREFACE

Two objects have been kept in view in preparing this little
book. One was to condense those facts and laws of the
science which are of most interest and importance to the
general intelligent public within so small a compass as not
to make a very serious addition to the curriculum of the high
school or college. The other was so to present the subject
that as little formal mathematics as possible should be neces-
sary to its mastery.

Of the first object little need be said. The typical person
constantly kept in mind has been the inquiring la}rman seek-
ing to know something of the heavenly bodies and their rela-
tion to the earth, including such subjects of human interest as
the changing seasons, the measure of time, and the varying
aspects of the planets.

The second object involves more serious questions. Can an
idea of the laws and phenomena of the celestial motions be
conveyed to a pupil who has not completed the regular course
in geometry and physics ? The author believes that it can. It
cannot, indeed, be denied that the professional astronomer,
engineer, surveyor, and navigator who are to make astronomi-
cal observations and computations must have a fairly complete
training in at least the elementary branches of mathematics.
But this training is not essential to him who desires only a
command of general ideas, without proposing to make technical
applications of the science. What is really essential are those
conceptions of motion and form which one may derive from
everyday observation, and the understanding of a few elemen-
tary definitions in geometry and physics. Our modern system

M69857

6 PREFACE

of education wisely endeavors to implant such conceptions and
to teach the corresponding definitions at an earlier age than
that when the growing youth is expected to commence a course
of formal mathematics.

The author hopes that the early chapters are the only ones
that will offer any difficulty to an intelligent pupil prepared
for a high school course. Here it is believed that every diffi-
culty may be overcome by two very simple measures on the
part of the teacher. One is to point out, approximately, the
actual position of the celestial poles and equator and the appar-
ent diurnal courses of the sun and stars, as they might be seen
in the mind's eye from the schoolroom or the field. The object
of this is that the learner may conceive the phenomena he is
studying as if seen in the sky. The other is to see that the
learner correctly apprehends the meaning of the figures repre-
senting points, circles, and motions on the celestial sphere ;
especially, that he always imagines himself looking at the
objects represented as if he were at the center of the sphere.

For this last suggestion and for other valuable hints, the
author takes much pleasure in acknowledging his indebtedness
to Mr. Edward P. Jackson, teacher of Physics in the Boston
Latin School.

CONTENTS

CHAPTER PA8F

I. RELATION OP THE EARTH TO THE HEAVENS .... 9

1. Introduction. 2. Ideas of Motion. 8. The Earth.
4. The Celestial Sphere. 5. Perspective of Plane and Line.
6. Angular Measure on the Celestial Sphere. 7. The Rela-
tion of the Horizon to the Celestial Sphere. 8. The Diurnal
Motion. 9. Celestial Equator and Poles. 10. The Meridian.
11. Diurnal Motion in Different Latitudes. 12. Right Ascen-
sion and Declination. 13. Correspondence of the Terrestrial
and Celestial Spheres.

II. THE REVOLUTION OF THE EARTH ROUND THE SUN . . 82

1. The Earth as a Planet. 2. Annual Motion of the Earth
round the Sun. 3. How the Sun shines on the Earth at Dif-
ferent Seasons. 4. Apparent Motion of the Sun — The
Zodiac. 5. Seasons in the Two Hemispheres. 6. The Solar
and Sidereal Years. 7. Precession of the Equinoxes.

ILL OF TIME 48

1. Diurnal Motion of the Sun and Stars. 2. Mean and
Apparent Time ; Inequality of Apparent Time. 3. Local
Time and Longitude. 4. Standard Time.

IV. OBSERVATION AND MEASUREMENT OF THE HEAVENS . . 56

1. Refraction of Light. 2. Lenses and Object Glasses.
3. The Refracting Telescope. 4. The Equatorial Telescope.
6. The Reflecting Telescope. 6. Great Telescopes. 7. Me-
ridian Instruments. 8. The Spectroscope and its Use.
9. Semidiameter and Parallax. 10. The Aberration of Light.

V. GRAVITATION 80

1. Force. 2. The Laws of Motion. 3. Universal Gravita-
tion. 4. Weight and Mass. 5. How the Attraction of the
Sun keeps the Planets in their Orbits. 6. Centrifugal Force.

VI. THE EARTH 90

1. Figure and Magnitude of the Earth. 2. Latitude and
Longitude. 3. Length of a Degree. 4. How the Earth is
measured. 5. How Latitude and Longitude are determined.
6. Density of the Earth, Gravity, etc. 7. Condition of the
Earth's Interior. 8. The Atmosphere. 9. The Zodiacal
Light.

VII. THE SUN 103

1. Particulars about the Sun. 2. Heat of the Sun.
3. Spots and Rotation of the Sun. 4. Corona and Promi-
nences. 5. Source and Period of the Sun's Heat.
1

8 CONTENTS

CHAPTER PAGE

VIII. THE MOON AND ECLIPSES .112

1. Distance, Size, and Aspect of the Moon. 2. The Moon's
Revolution. 3. The Moon's Phases and Rotation. 4. The
Tides. 5. Eclipses of the Moon. 6. The Moon's Orbit and
Nodes. 7. Eclipses of the Sun. 8. Recurrence of Eclipses.

IX. THE CALENDAR 133

1. Units of Time. 2. The Julian Calendar. 3. The Gre-
gorian Calendar. 4. The Year. 5. Features of the Church
Calendar. 6. The Hours.

X. GENERAL PLAN OF THE SOLAR SYSTEM .... 140

1. Orbits of the Planets. 2. Kepler's Laws. 3. Structure
of the Solar System. 4. Distances of the Planets ; Bode's
Law. 6. Aspects of the Planets. 6. Apparent Motions of
the Planets. 7. Perturbations of the Planets.

XL THE INNER GROUP OF PLANETS 151

1. The Planet Mercury. 2. The Planet Venus ; Aspects
of Venus. 3. The Planet Mars ; Aspects of Mars. 4. The
Minor Planets or Asteroids.

XII. THE FOUR OUTER PLANETS 162

1. The Planet Jupiter. 2. The Satellites of Jupiter.
3. The Planet Saturn. 4. The Rings of Saturn. 5. The
Satellites of Saturn. 6. Uranus and its Satellites. 7. Nep-
tune and its Satellite.

XIII. COMETS AND METEORS 176

1. Appearance of a Comet. 2. Comets belong to the Solar
System. 3. Orbits of Comets. 4. Remarkable Comets.
6. Constitution of Comets. 6. Meteors. 7. Meteoric
Showers.

XIV. THE CONSTELLATIONS 191

1. About the Stars in General. 2. How the Constellations
and Stars are named. 3. Description of the Principal Con-
stellations. 4. Constellations Visible in the Evenings of
February and March. 5. The Early Summer Constella-
tions. 6. The August Constellations. 7. The November
Constellations.

XV. THE STARS AND NEBULJE 205

1 . The Stars are Suns. 2. Proper Motions of the Stars.
3. Motion of the Sun. 4. Motions in the Line of Sight.
5. Distances of the Stars. 6. Variable Stars. 7. Double
Stars. 8. Clusters and Nebulae ; Clusters of Stars.

XVI. A BRIEF HISTORY OF ASTRONOMY . . 225

INDEX

ASTRONOMY

»<**<

CHAPTER. I
RELATION OF THE EARTH TO THE '

L Introduction. — When we look at the sky by day we see
the sun; by night .we see the moon and stars. These, and all
other objects which we see in the heavens, are called heavenly
bodies. Astronomy is the science which treats of these bodies.

The heavenly bodies are all of immense size, most of them
larger than the earth. They look small because they are so
far away. If we could fly from the earth as far as we please,
it would look smaller and smaller as we went farther, until at
a distance of many millions of miles it would appear as a little
star. If we kept on yet farther, it would at last disappear from
our sight altogether.

If we lived on one of the heavenly bodies, it would be to
us as the earth, and the earth would be seen as a heavenly
body.

In trying to think of the relation of the earth to the
heavens, we may liken ourselves to microscopic insects liv-
ing on an apple. To them the apple is a world, than which
nothing bigger can be conceived. As this continent is to their
apple, so is the universe of stars to our world. We may fancy
how their ideas would have to be enlarged to make them com-
prehend the relations of the Atlantic and Pacific oceans ; and
then we may try to enlarge ours in the same way to under-
stand the relations of the heavenly bodies.

10 ASTRONOMY

2. Ideas of Motion. — If we think carefully, we shall see
that we can never know that any object is in motion except by
comparing its position with that of some other object supposed
to be at rest. Inside the cabin of a ship on a smooth sea we
are not able to decide whether we are at rest or in motion
unless we can look out on the ocean which we suppose to be
at rest. Even then water, ship, and everything on the ship,
might be carried along by the Gulf Stream without our know-
ing it. This -general :fact is expressed by saying that all
motion, so far as "we can define or know it, is relative ; that
is, it H -referred to some object supposed to be at rest.

It follows from this that the motion of an object may be
very different according to the body to which it is referred.
Suppose, for example, that a man walks from the front to the
rear of a railway car running eastward 50 miles an hour.
A fellow passenger would say that the man was walking
westward at the rate of three miles an hour, because his
motion would be referred to the car as if the latter were at
rest. But if we refer it to the surface of the earth, lie would
be going east at the rate of 47 miles an hour. Hence, in
speaking of the motion of a body, there must always be st>me
other body, or some position, to which the motion is referred.

In everyday life we commonly refer the motions of things
around us to the surface of the earth. In astronomy motions
are sometimes referred to the center of the earth, or to the sun,
or even to the stars.

3. The Earth. — Some of the following facts are taught in
geography, but they are of equal importance in astronomy : —

1. The earth has the form of a spheroid. Its figure is so
near that of a globe that the eye could not see any deviation
from the spherical form. Hence, we commonly speak of the
earth as a globe.

2. We live on the round surface of this globe.

3." Our bodies and everything else on the earth's surface are
drawn toward its center by a force called gravity. Were it

RELATION OF THE EARTS TO THE HEAVENS 11

not for gravity, objects on the earth would have no tendency to
stay there.

4. It follows that the direction we call downward is not the
same in any two places, because it is everywhere nearly toward
the earth's center. Dwellers on the opposite side of the earth
stand with their feet pointing toward us, and are therefore
called our antipodes.

5. The earth turns continually from west to east on an
imaginary line passing through its center, and called its axis.
The two opposite points in which the axis intersects the surface
of the earth are called poles. One of these is called the north
pole, the other the south pole. The time required to make a
revolution is called a day.

6. An imaginary circle passing round the earth, equally dis-
tant from the two poles, is called the earth's equator.

7. The motion of the earth on its axis is so smooth and uni-
form that we are entirely unconscious of it. Hence it seems
to us to be at rest while the heavenly bodies seem to move in
the opposite direction, from east toward west.

4. The Celestial Sphere. — When we look up from the earth,
the stars seem to be set in a blue vault or dome, which we call
the sky. The sky seems to rise high over our heads, and to
curve down on every side toward the earth, on which it seems
to rest. The sky is not a real object, but only an appearance
produced by the blue light reflected from the air to our eyes.

There are as many stars in the heavens by day as by night.
The reason we do not see them by day is that our eyes are
dazzled by the light of the sky, which is really light reflected
by the air. If we could mount above the air, we should see no
sky, because there would be no air to reflect the light, and we
should see the stars all day as well as all night.

The stars surround us in every possible direction, below our
feet as well as above our heads. The earth is in the way of
our seeing them when they are below us, but they are then visi-
ble to our antipodes.

ASTRONOMY

The heavenly bodies are really at very different distances.
They appear to us to be at the same distance because our eyes
cannot distinguish their distances as less or greater. Hence
we fancy them to be on the surface of a hollow sphere, in the

FIG. 1. — Showing how stars p, 7, r, s, etc., are seen by an observer at 0
as if they all lay on a sphere at the respective points P, @, J?, S,
etc. The three stars marked t are seen as if they were a single star
in the position T, because, being in the same straight line from the
observer, they cannot be distinguished.

center of which we stand. Although this sphere is imaginary,
it will help our thoughts to think of it and talk about it as if
it were real. It is called the celestial sphere.

We must imagine the celestial sphere to be so vast that the
earth in its center is a mere point in comparison.

5. Perspective of Plane and Line. — You doubtless know that
a plane is a flat surface which may be supposed to extend out
all round us as far as we please. When we represent a plane
on paper we have to give it a boundary because there is not
room enough on the paper to show it extending out without

RELATION OF THE EARTH TO THE HEAVENS 13

limit. We are not to suppose that the circle or other bound-
ing line on the figure is really the boundary of the plane ; the
latter need not have a boundary.

Let us see how we may represent a
plane seen in different ways. Figure
2, a, shows a small portion of a plane,
bounded by a circle, on which we are
looking perpendicularly. This plane
coincides with the plane of the paper.

Figure 2, 6, shows the plane seen
obliquely. We must conceive this
plane as passing through the plane
of the paper.

Figure 2, c, shows the same plane
seen edgewise. It then looks like a
straight line, but must still be con-
ceived as a plane, and as being per-
pendicular to the plane of the paper.

6. Angular Measure on the Celestial FIG. 2.

Sphere. — When we speak of the dis-
tance of two heavenly bodies from each other, the word dis-
tance may have either of two meanings.

The real distance is the length of the line from one body to
the other. Hence this is also called linear distance.

The apparent distance between two heavenly bodies is their
distance apart as it appears to us. This is not a line, but the
angle between two lines from the observer's eye, one going
toward one body and one toward the other. In astronomy we
commonly use words expressing distance in this sense; thus
we say that the moon and a star are together, or that a star is
alongside the moon, when they look so to our eyes, although
the star is in reality millions of times farther from us than the
moon. Two heavenly bodies appear together when they lie in
the same line from the observer.

The apparent distance being an angle, is measured as angles

ASTRONOMY

are measured in other cases, the position of the observer being
the vertex of the angle. Imagine a circle on the celestial
sphere with the eye of the observer in the center as shown in
figure 3.

FIG. 3. — Showing the angle between two stars, a and 6, as seen by an
observer. In the figure this angle is about 10°. The figure also shows
how degrees are counted round the circle, passing from the line going
horizontally to the right. A right angle, or 90°, measures from the
horizon A to the zenith B. Two right angles, or 180°, bring us to
the horizon on the left ; the third right angle, making 270°, takes us
to the point D below, and the fourth one will carry us round to A,
where we started.

Then this circle is divided into four arcs, AB, BC, CD,
and DA, each of which measures a right angle at the center.

RELATION OF THE EARTH TO THE HEAVENS 15

The right angle is subdivided into 90°, which may be done by
dividing the arcs AB, etc., into 90 equal parts. Each degree is
divided into 60 minutes, and each minute into 60 seconds.

Any little arc on the sphere is then said to subtend the
angle formed between the lines drawn from the observer's eye
to the ends of the arc.

To give an idea of the magnitude of angles, a foot rule at
the distance of 57 feet from the eye subtends an angle of
about 1°.

The diameters of the sun and moon subtend an angle of a
little more than half a degree.

The diameter of the smallest round object that an ordinary
eye can distinctly see subtends an angle of 1'. More exactly
V is the angle subtended by a nickel at a distance of 320 feet.

7. The Relation of the Horizon to the Celestial Sphere. — In

ordinary language the line around us where the earth and
sky seem to meet is called the visible horizon, or simply the
horizon. On a ship at sea the visible horizon is a circle,
extending all round the observer. It is called the sea horizon.

FIG. 4. — The dip of the horizon from the deck of a ship. The curve is
the rounded ocean ; ST is a horizontal line which does not strike the
ocean at all ; H is a point of the sea horizon, seen from the ship in
the line SH. The angle T8H between the horizontal line from the
observer's eye and the sea horizon is the dip of the horizon.

If we regard the earth as perfectly round and smooth, a
plane resting on it at a point where we stand is called the
plane of the horizon, or the horizon plane. As we look around,
we must imagine this plane to extend out indefinitely on all
sides of us.

In figure 4 we show the relation of the horizon plane to the

ASTRONOMY

sea horizon. The observer's eye being higher than the water,
we see from this figure that the sea horizon will appear a
little below the horizon plane. The angle by which it seems
below is called the dip of the horizon. The higher the eye is
above the sea, the greater the dip,

FIG. 5. — Showing the altitude of a body above the horizon. It is the
angle between the body and the horizon H as it appears to an ob-
server. The zenith distance is the angle between the line, in which
the body is seen, and the zenith Z.

The point in the heavens over our head (B, fig. 3) is called
the zenith ; the point in the celestial sphere below our feet
(D9 fig. 3), which we cannot see, is called the nadir.

The altitude of a heavenly body is the angle which its direc-

RELATION OF THE EARTH TO THE HEAVENS 17

tion makes with the plane of the horizon. The greater its
altitude, the higher it seems to ns to be.

The line joining the zenith or nadir to the point where we
stand is called a vertical line. It is evident that such a line is
perpendicular to the horizon plane. Its direction is that of
the plumbline.

The zenith distance of a body is its apparent angular distance
from the zenith.

Zenith distance and altitude added together make up the
whole arc from the zenith to the horizon, which measures
90°.

Change of Horizon as we Travel. — Now let us conceive the
celestial sphere with the earth in its center. Let the globe in
figure 6 represent the earth, and let APE be the horizon plane
of an observer standing at P. We imagine this plane extend-
ing out all round until it meets the celestial sphere. We can-
not draw this sphere round figure 6 because, to be large enough
in proportion to the earth, we should have to make it bigger
than a house. So we draw it on a smaller scale in figure 7.
On this scale the earth is a mere point in the center.

The plane of the horizon at P in figure 6 cuts the celestial
sphere in a circle AB, seen edgewise in figure 7. This circle
is called the celestial horizon of the observer at P in figure 6.
We must imagine it extending all around us, like the visible
horizon. The celestial horizon divides the celestial sphere
into two hemispheres, ACB and BDA.

Standing at P in figure 6, we can see the stars in the hemi-
sphere ACB, figure 7, which is therefore called the visible
hemisphere. We cannot see the stars in the hemisphere ADB
because the earth is in the way, so this is called the invisible
hemisphere.

We see in figures 6 and 7 that, as we travel from one place
to another, the horizon changes its direction, so that stars, be-
fore invisible, will come into view on one side, and visible ones
will seem to sink below the horizon on the other side. For
example, if the observer travels to the point Q (fig. 6), his
NEWCOMB'S ASTRON. — 2

ASTRONOMY

horizon plane will be CD, in figure 7. Then the stars in the
region N, between B and D, will come into view, and those in
the region M, between A and (7, will seem to sink below the
horizon.

FIG. 6. — Showing how the horizon changes as an observer travels from one
point of the earth to another. The straight lines AB and CD touch-
ing the earth represent planes seen edgewise. These are planes of the
horizon, or horizon planes. Every different point of the earth's sur-
face has a different horizon plane. For example : when the observer
is at the point P, his horizon plane will be AB, which is represented
as a line because we see it edgewise. If he travels to the point $, his
horizon plane will turn round into the position CD. Thus his horizon
always changes as. he travels. These horizon planes must be supposed
extended out on all sides until they cut the celestial sphere. As the
scale in this figure is too large to represent the celestial sphere, we
make another figure on a much smaller scale to show the continuation
of the horizon planes.

It is very interesting to watch this change during a long
ocean voyage from the north to the south, or vice versa. As
we steam -along the rounded surface of the ocean, we see the
constellations behind us sinking lower and lower every night,
till they disappear below the ocean horizon, while new ones

RELATION OF THE EARTH TO THE HEAVENS 19

seem to rise from the ocean in front of us. Owing to the same
cause the days are more than 24 hours long when we cross the

FIG. 7. —The celestial sphere, with the earth a mere point in the center
at E, showing two horizontal planes corresponding to those of figure
6, extended until they intersect the celestial sphere. As an observer
travels from P to Q, in figure 6, his horizon planes change from the
position AS to the position CD, in figure 7. Thus the stars in the
region Jf, which are visible when the observer is at P, are invisible
when he is at Q, while the reverse is true in the region N. The posi-
tion of the zenith on the celestial sphere also changes from Z\ to Z2,
as the observer travels from P to Q.

ocean from Europe to America, and less than 24 hours long
when we cross from America to Europe.

20 ASTRONOMY

8. The Diurnal Motion. — If, in our latitudes, we look at any
star south of the zenith, and watch it for an hour, we shall find
it moving from the left toward the right. If we watch it a few-
hours, we shall see that it moves yet farther and farther
toward the right and at length sets in the west, like the sun.
If we look at a star in the east, we shall find it rising upward
and moving toward the south as the sun does every day. Thus
the stars in the south rise and set like the sun.

We know that this is because the earth turns on its axis.
To us, the appearance is the same whether we suppose the
earth to turn and the stars to stand still, which is the truth, or
whether we suppose the earth to be still and the stars to re-
volve round it, which is not the truth. In order to describe
how things look, it is sometimes easier to suppose that the
earth is still, as we may fancy it to be, and then to tell how
the stars seem to move.

We call any seeming motion of the heavenly bodies, sun,
moon, and stars, their apparent motion, which means their
motion as it appears to us.

The apparent motion which they have in consequence of the
earth turning on its axis, is called the diurnal motion. Hence,
the motion by which the sun, moon, and stars rise and set
every day is the diurnal motion.

9. Celestial Equator and Poles. — Figure 8 shows the earth
with its axis passing through its center, from the south to the
north pole. We must imagine this axis continued as far as
we please in both directions.

Imagine a plane EQ passing through the center of the
earth, at right angles to its axis. This is called the plane of
the equator, because it intersects the earth's surface all round
on the equator.

We must conceive this plane to be extended out as far as* we
please. Now we draw figure 9 on a small scale. The outer
circle represents the imaginary celestial sphere with the earth
as a black dot in the center.

OF THE EARTH TO THE HEAVENS 21

the points NP and SP, in which the line of the earth's axis
intersects the celestial sphere, are called the celestial poles.

The one which is visible to us, NP, is called the north
celestial pole; the other, /SP, which is below our horizon, is
the south celestial pole.

The plane of the equator continued out in every direction
intersects the celestial sphere in a circle EQ, which is called

FIG. 8. — Showing the plane of the earth's equator. The equator itself
passes around the earth and cuts the earth into two equal hemi-
spheres. The plane of the equator extends outward on all sides until
it meets the celestial sphere. In the figure we have to show it bounded
by a circle because there is no room to represent it going any farther,
but in reality it has no boundary.

the celestial equator. The celestial equator is an imaginary
circle of the celestial sphere which always has the same posi-
tion in the heavens. It intersects the horizon in the east and
west points, and, in northern latitudes, passes south of the
zenith by a distance equal to the latitude of the place. One
half of it is above, the other half below, the horizon.

22 ASTRONOMY

10. The Meridian. — A line on the earth's surface, from the
north to the south pole, is called a terrestrial meridian or simply
a meridian. Owing to the curvature of the earth its form is
that of a semicircle.

FIG. 9. — The celestial sphere, with the earth a point in the center at 0,
showing how some stars rise and set, while others never set, and
others, in our latitudes, never rise. The circle of perpetual appari-
tion, within which the stare never set, is round the north celestial
pole, which is above our horizon. Those which rise and set are on
both sides of the celestial equator.

The figure shows how the celestial meridian SENP passes over the
celestial sphere in a north and south direction through the zenith.

Such a line may pass through any place : it is then called
the meridian of that place. Thus we speak of the meridian of
Greenwich, Washington, or Chicago, meaning the semicircles
joining either of these points to the poles of the earth.

RELATION OF THE EARTH TO THE HEAVENS 23

The north and south direction is that of the meridian. Any
number of places may be on the same meridian ; they are then
north and south of each other.

The plane of the meridian of any place is a plane passing
through the place and the north and south poles.

If we imagine this plane extended upward, so as to intersect
the celestial sphere, the circle of intersection is called the
celestial meridian. The celestial meridian passes through the
celestial poles and the zenith of the place.

In figure 9 the plane of the paper is the plane of the merid-
ian, and the outer circle of the figure is the celestial meridian.
The points N and 8 in which it intersects the plane of the
horizon are the north and south points of the horizon. Hence
if one stands facing the south, his meridian rises perpen-
dicularly from the south horizon to the zenith and continues
to the celestial pole.

11. Diurnal Motion in Different Latitudes. — The apparent
diurnal motion takes place as if the two celestial poles were
pivots on which the celestial sphere is continually turning.

Suppose a person to stand at the north pole of the earth.
Then the celestial sphere will appear to him as it is represented
in figure 10. The north celestial pole will be over his head,
that is, in his zenith. The plane of his horizon will be MN,
which you see is parallel to the plane of the equator. When
the earth becomes a mere point, these planes are so close
together that we cannot distinguish between them. Hence : —

To an observer at the north pole, the north celestial pole is at the
zenith, the celestial equator is in the horizon, and the south pole is
at his nadir.

The poles being pivots, the diurnal motion of each heavenly
body will seem to go on in a horizontal circle, from left to
right, so that none of these bodies will either rise or set.
When the observer is near the pole, the motion will be nearly
horizontal.

ASTRONOMY

Suppose the observer travels to latitude 40 degrees, which is
nearly that of New York and Philadelphia. We have seen in
figures 6 and 7 how his horizon plane turns round as he travels.
As it turns, the celestial pole will appear to move over to a
position where it will be 40 degrees above the horizon and 50
degrees from the zenith.

Nadir

FIG. 10. — Showing the equator, horizon, and direction of the diurnal
motion as seen by an observer at the north pole of the earth. The
earth is an invisible point in the center at E. The outer circle is
the celestial sphere as seen by the observer. Round his horizon on
the celestial sphere is the celestial equator, which in this particular
case is the same as the celestial horizon. The other horizontal circles
show the diurnal motion of the heavenly bodies, which seem to
make their revolutions round and round in horizontal circles, without
either rising or setting.

In this position the northern heavens appear as in figure 11.
The celestial pole is marked in the center of the map. There
is a fairly bright star so near the pole that it is called the Pole-
star. If one has an exact north and south line, he can find
the polestar by looking nearly halfway between the horizon
and the zenith, toward the north. Mf not, he must find the

RELATION OF THE EARTH TO THE HEAVENS 25

constellation Ursa Majorj commonly called the Dipper. The
two stars which form the outside of the dish of the Dipper
point very nearly at the polestar, as we see by the dotted line

FIG. 11. — The circle of perpetual apparition to an observer in latitude
40°, showing the brightest stars of the northern constellations, includ-
ing the pointers in Ursa Major pointing at the north star. To see
how the stars will look at half-past eight o'clock on any evening in
the year, hold the figure with the month at the bottom and look at
the stars at the corresponding hour. The hour given is for the
middle of the month. To find the positions at other hours, notice
that the diurnal motion takes place in a direction the opposite of
those of the hands of a clock, as shown by the arrows, and turn the
figure accordingly.

in the figure. The Dipper can be seen almost any evening in
the year, but in the evenings of autumn it will be low down

ASTRONOMY

near the northern horizon. If the pointers cannot be seen,
there is only one other star that there is danger of mistaking
for the polestar. This is Beta Ursce Minoris, or Beta of the
Little Bear, which is about 15 degrees from it and is of the
same brightness ; but it can still be distinguished by its being
a little redder and by the two stars between which it is
situated.

Having found the polestar, imagine a circle to be drawn in
the heavens, having the pole as a center, and at such a distance

N.R

as to graze the northern horizon. Then studying figure 11, yon
will see that, as the celestial sphere appears to revolve around
the pole as a pivot, all the stars within this circle will merely
turn round and round the pole, as shown by the arrows, but
none of them will ever rise and set. Hence this circle is
called the circle of perpetual apparition.

It will readily be seen that the stars but a little outside this
circle dip only a short distance below the horizon and are but
a short time below it. They are above the horizon most of the

RELATION OF TEE EARTH TO THE HEAVENS 27

time, but not all the time. The farther they are from this cir-
cle, the longer they are below the horizon.

Next let us study figure 12. This shows the celestial sphere
as if we were looking at it from the east, so that we see the
western portion of it. Here you see that the equator EQ is
one half above the horizon HR, and one half below it. Hence

South

North

FIG. 13. — Showing the diurnal motion as seen by an observer at the
equator. The earth is a point in the center at E. The celestial poles
are in the north and south horizon, and the diurnal motion takes
place in vertical circles shown in the figure. All the heavenly bodies
are as long above the horizon as below it, except for a small effect of
refraction, which will be hereafter explained.

a star on the equator is 12 hours above the horizon and 12
hours below it, in the course of each apparent diurnal revo-
lution.

The farther south the star is situated, the shorter the time it
is above the horizon and the longer the time it is below it. At

28 ASTRONOMY

50 degrees south of the equator, the star will barely appear on
the horizon and will immediately sink below it again.

Now notice the south celestial pole, as shown in figure 9.
We see that, as the sphere seems to turn on it as & pivot, if we
imagine a circle drawn so as to touch our southern horizon, the
stars within this circle will never seem to us to rise at our
latitude. Hence this circle is called the circle of perpetual
occultation.

If we travel yet farther south, say to the Gulf of Mexico,
the north celestial pole being nearer to the horizon, the circle
of perpetual apparition will be smaller. The circle of perpet-
ual disappearance will also be smaller.

If we travel to the equator, the two poles, or seeming pivots,
being in the north and south horizon, all the stars will rise and
set, each being as long above the horizon as below it. Hence
there will be no circles of perpetual apparition or occultation.

If we go on into the southern hemisphere, the south celestial
pole will rise above our horizon, the circle of perpetual appari-
tion will be around it, and that of perpetual disappearance will
be round the north pole, now below the horizon.

Because a meridian line is fixed on the earth's surface, it
follows that all the meridians revolve with the earth. Hence
one result of the diurnal motion is that all the heavenly
bodies seem to pass the meridian every day. Really, the
meridian passes them, but, to our senses, they seem to pass
the meridian.

12. Right Ascension and Declination. — The Decimation of a
heavenly body is its apparent distance from the celestial
equator. To measure it we imagine a circle to pass from the
pole through the body S, figure 14, to the celestial equator.
This is called an hour circle. The arc SR of this circle, be-
tween S and the equator, is the declination of the body S.
It is measured in degrees, minutes, and seconds.

When the body is north of the equator, as at S, it. is said to
be in North Declination; when south, in South Declination.

RELATION OF THE EARTH TO THE HEAVENS 29

Comparing figures 14 and 9, we shall see that if we are in

north latitude, the farther north the declination of a body,

the longer it will be above our horizon during its diurnal
revolution.

North

Pole

FIG. 14. — Showing the hour circles passing from one celestial pole to the
other, and the right ascension and declination of a star. The first
hour circle is represented as passing to the left of the earth through
V. The declination of the star 8 is its distance from the equator 7?,
and, in the figure, is about 23°. Its right ascension is the arc from
V to R on the celestial sphere, which is here three hours.

The right ascension of a heavenly body is the angle which
the hour circle drawn through it makes with that through the
vernal equinox Y\ a point to be defined hereafter.

Astronomers commonly measure right ascension, like time,
in hours, minutes, and seconds. As the earth turns through
360° in 24 hours, it turns 15° in every hour.

80 ASTRONOMY

The position of a point on the celestial sphere — a star, for
example — is expressed by its right ascension and declination,
much as the position of a city on the earth's surface is
expressed by its longitude and latitude. To understand right
ascension we recall that the longitude of a place on the earth's
surface is the angle between two terrestrial meridians, one of
which passes through the Royal Observatory, Greenwich, and
the other through the place. On maps are drawn as many
meridians as are necessary, each being numbered according to
its angle with the Greenwich meridian. The longitude of a
place on the map is learned by its position relatively to the
meridian lines which pass on each side of it.

On the same plan, astronomers suppose semicircles to pass
on the celestial sphere from one pole to the other, as shown in
figure 14. These circles are really celestial meridians. But the
latter are supposed to move with the revolving earth, while the
semicircles we speak of, that is, the hour circles, are fixed on
the celestial sphere.

The first hour circle, taken as a standard, like the meridian
of Greenwich, is that which passes through the vernal equinox.
In figure 14 the vernal equinox is at V.

13. Correspondence of the terrestrial and celestial spheres. — On
the earth a parallel of latitude is a circle parallel to the equator.
All points on it have the same latitude.

In the heavens a parallel of declination is a circle parallel to
the celestial equator. All points on it have the same declination.

The zenith of every point on the earth's surface lies on the
corresponding parallel of declination. That is, if you are in
40° of north latitude, a star exactly over your head will be in
40° of declination. Thus, as shown in figure 14, every parallel
of declination passes vertically over the corresponding parallel
of latitude.

At any point on the earth's surface the altitude of the celestial pole
is equal to the latitude of the place.

The arc of the meridian from the zenith to the celestial equator is
also equal to the latitude of the place.

RELATION OF THE EARTH TO THE HEAVENS 31

To see this, suppose yourself standing at the equator. Then
the celestial equator, as already explained, passes through your
zenith, and the pole is in" your horizon.

Now travel north through 1° of latitude. Then your horizon
will have tipped 1° below the celestial pole, and your zenith
will have moved 1° from the celestial equator. The correspond-
ing result will occur how far soever you travel. In latitude
40° your horizon will have tipped 40° below the pole, so that
the latter is now 40° above the horizon, and your zenith will
have moved 40° from the equator. In latitude 45° the pole
will be midway between the zenith and the north horizon ;
the equator will be midway between the zenith and the south
horizon.

Algebraic Expression of the Relation between Declination, Zenith
Distance, and Latitude. — Algebraic symbols are used to express
these three quantities, the following notation being used : —

L = latitude, + when north ; — when south.

D = declination ; -f when north ; — when south.

Z — zenith distance ; + when south ; — when north.

If a star on the meridian is a certain distance Z south of the
zenith, its declination will be less than that of the zenith by Z.
At the zenith we have Z = 0 and L = D. Hence we shall
always have D = L — Z, or L = D + Z.

Right ascension on the celestial sphere and longitude on the
earth would correspond in the same way, were it not that the
rotation of the earth keeps each meridian in constant motion
over the hour circles of the celestial sphere. But every day
there is a certain moment at which the vernal equinox passes
over the meridian of Greenwich. At this moment the right
ascension of a star on the meridian of any place is equal to the
east longitude of the place from Greenwich. Hence, at this
particular moment there is a correspondence of the meridians
on the earth and in the heavens.

CHAPTER II

THE REVOLUTION OF THE EARTH ROUND THE SUN

1. The Earth as a Planet. — In the preceding chapter we
have explained the various phenomena which arise from the
rotation of the earth on its axis. We have to explain another
change with which we are all familiar, — that of the seasons.
We know that these go through a regular change in a period
of about 365 days. During one part of this period, which we
call summer, we see the sun rise to the north of east, pass the
meridian high up in the heavens, and set to the north of west.
At the opposite season the sun rises south of east, culminates
low in the south, and sets south of west. In the first case
the days are long and the nights short; in the second the

days are short and the nights long.
Any one who thinks will see that
this annual change of the seasons
depends in some way on the sun;
that the season is hot or cold, and
the days long or short, according to
the apparent path of the sun in the
heavens. We have now to show
that the changes of the seasons
arise from the earth making an
annual revolution around the sun.
Thus the earth has two motions,
its rotation on its own axis, and its
The first produces day and night,
the second summer and winter. To conceive the combined
effect of these two revolutions is a task which requires some
thinking. We have two things to consider, — the actual motion

FIG. 16. — The earth moving
round the sun.

revolution around the sun.

REVOLUTION OF THE EARTH ROUND THE SUN 33

of the earth, and the apparent motion of the sun as we seem
to see it.

If we could fly upward in a direction near that of the
earth's axis to a distance of a thousand million miles, and then
look back, we should see the earth and a number of other
bodies forming, as it were, a little family far distant from all
other heavenly bodies. The largest and brightest of those
bodies would be the sun. At various distances and directions
from the sun we should see eight or more smaller bodies look-
ing like stars. If we watched long enough, we should see that
those seeming stars were all in motion around the sun, each one
keeping nearly, but not exactly, at the same distance from it
during its course. The nearest would complete its circuit in
about three months, while the most distant would take more
than 160 years. These small starlike bodies are called planets.

The paths in which the planets perform their courses round
the sun are called their orbits.

One of these planets is the earth on which we dwell. It
js_the third in the order of distance from the sun, and, as we
have said, it requires a year to complete its circuit around the
sun. It would be more exact to say that the time required
for it to complete its circuit is what we call a year.

Besides the eight planets which we have described there
are a number of smaller bodies going round the sun which we
shall describe hereafter. This whole family of bodies is
called the solar system. It is so called because the sun is the
great central body on which all the others depend, and to
which they all do homage, so to speak.

The distance of the earth from the sun has been determined
in a number of different ways. According to the latest
researches it is very nearly 93,000,000 miles ; we scarcely
know whether a little greater or a little less. Some idea of
this distance may be gained by saying that a railway train
running GO miles an hour, and making no stop, would require
more than 160 years to reach the sun. Five generations
might be born upon it before the journey was completed.
NEWCOMB'S ASTRON. — 3

34 ASTRONOMY

The most marked difference between the sun and the planets
is that the sun shines by its own light, while the planets shine
only by the light that falls on them from the sun. Thus, so
far as means of seeing are concerned, the sun is like a candle
in an otherwise dark room and the planets are like little
bodies seen by the light of the candle.

We have said that the bodies of the solar system form a
group by themselves. Looking down from the height we
have supposed, we should see this very clearly. The stars
which stud the heavens would be seen just as we see them
from the earth, in every direction. Their distances are so
vast compared with the size of the solar system that even the
latter, immense though it is, is but a speck in comparison. We
may, if we please, call them suns. Most of them are brighter
than the sun. They look small and dim because they are so
much farther away.

Thus, having expanded our conceptions so that the earth
shall be but as a point in the solar system, we must again ex-
pand them so as to think of the whole solar system as but
a point in comparison with the distance of the stars.

2. Annual Motion of the Earth round the Sun. — We must
now explain the motion of the earth in its orbit round the sun.

This is called its annual motion, because it takes a year to
complete one revolution.

We cannot draw a figure which shall represent the earth
and its orbit in anything like their true proportions, because

REVOLUTION OF THE EARTH ROUND THE SUN 35

the diameter of the orbit is more than 20,000 times that
of the earth itself. So we have to draw figures, as before, on
two very different scales. Figure 16 shows the orbit of the
earth seen nearly edgewise. The plane containing this orbit
is called the plane of the ecliptic. On a true scale the earth in
this figure would be an invisible dot, so we make it larger, and
then represent it on a still larger scale in figure 17.

Ait

FIG. 17. — Showing how the sun shines on the earth in June, illuminating
the whole of the Arctic circle, while the whole of the Antarctic circle
is in darkness.

In figure 16 the direction of the axis is shown by the
inclined line NS.

An important law of the earth's motion is this : As the
earth moves round the sun, the direction of its axis remains almost
unchanged.

This direction is not quite perpendicular to the ecliptic, but
is inclined to the perpendicular by 23£°, or a little more than
one fourth of a right angle. This angle is called the obliquity
of the ecliptic, because it is equal to the angle which the plane
of the equator makes with the plane of the ecliptic.

36 ASTRONOMY

3. How the Sun shines on the Earth at Different Seasons. — •
Let us now see how the sun shines on the earth at different
times of the year.

Spring Position of the Earth. — About the 21st of March of
each year the earth is in the position A, figure 16, where the
line from the sun to the earth is at right angles to the earth's
axis. The sun then illuminates the whole hemisphere of the
earth which is turned toward it, from pole to pole. The days
and nights are equal all over the earth. This time is called
that of the Vernal Equinox, because the season in our hemi-
sphere is spring, and the days and nights are equal.

Summer Position of the Earth. — Three months later, about
June 21, the earth will be in the position B} with the north
end of its axis now tipped toward the sun. The sun then
shines on the region round the north pole, while that round the
south pole is in darkness, as we see by figure 17, which repre-
sents the earth in the position B, but on a larger scale.

The circle AC round the north pole of the earth, which
touches the edge of the illuminated hemisphere at this time, is
called the Arctic Circle. Its radius will be 23£° of the earth's
meridian, the same as the obliquity of the ecliptic. As the
earth revolves on its axis in this position, the region within
the arctic circle will never be carried outside of where the
sun is shining. Hence, to an observer in this region the sun
will not set on the 21st of June, but will seem to go round the
sky in the direction from south through west, north, and east.

Next, imagine a circle, MN, drawn round the south pole of
the earth, so as to touch the edge of the illuminated hemi-
sphere. This is called the Antarctic Circle. We see that, as
the earth revolves, the region within this circle will not be
brought into sunshine at all. Hence the sun will never rise
within this circle on June 21.

At a distance of 23£° north of the equator EQ, there is a
circle FG on which the sun will be in the zenith at noon of
June 21. This circle is called the Tropic of Cancer.

At the equator EQ the days will be equal to the nights.

REVOLUTION OF THE EARTH ROUND THE SUN 37

The further north we go from the equator, the larger the
fraction of a circle of latitude round the earth which will be
in sunshine. Hence on the 21st of June the days are longer
and the nights shorter as we go toward the north.

South of the equator the days get shorter and the nights
longer, as we travel south, until we reach the antarctic circle,
when the sun will simply show himself on the horizon at
noon.

Autumn Position of the Earth. — At (7, the plane of the equator
again passes through the sun, and the latter shines over one
hemisphere of the earth, from the north to the south pole. At
this time the days and nights are again equal the world over.
This is called the Autumnal Equinox, because the days and
nights are again equal and the season is autumn.

Winter Position of the Earth. — On December 21 the earth
is in the position D, with the north end of the axis tipped
away from the sun, and the south end tipped toward it. Now
day and night are the reverse of what they were with the
earth at B. Figure 17 will still answer for us, only it is now
night where it is represented as day in the figure, and vice
versa. All the region within the arctic circle is in darkness,
all that within the antarctic circle in the sunshine. North of
the equator the nights are longer than the days; south of it
the days are longer than the nights.

The sun passes through the zenith of every place in latitude
23J° south at noon of this day. This circle of latitude is called
the Tropic of Capricorn.

4. Apparent Motion of the Sun. — The Zodiac. Having
explained how the earth turns on its axis and revolves round
the sun, while, to us who live on it, it seems to remain at rest,
we shall now explain how the sun seems to us to move. The
apparent motion of the sun is based on these facts : —

1. Each fixed star is really in the same direction from us
all day and all the year. The stars seem to us to change their
direction only because we live on the moving earth.

ASTRONOMY

2. The sun is nearly, but not exactly, in the same direction
from us all day, from its rising to its setting. But this direc-
tion changes during the year in consequence of the earth
revolving round it.

FIG. 18. — Showing how, in consequence of the earth moving around the
sun, the sun seems to us to make an annual revolution round the
celestial sphere among the stars, passing through the twelve signs of
the zodiac.

Let us study figure 18, which shows the earth's orbit, ABC,
with the sun in the center. Far outside the orbit lie the stars.
To make a figure on the right scale, we should have to place
the stars several miles away ; as we cannot do this, we repre-
sent their positions as in the figure.

REVOLUTION OF THE EARTH ROUND THE SUN 39

Now suppose we could fly a few thousand miles above the
earth and accompany it in its course round the sun. Then,
looking down, we should see the earth turning on its axis, and
bringing its oceans and continents into view, one after the
other. Looking at the stars, we should see them at rest. They
would neither rise nor set, nor even change their direction by
any quantity we could perceive.

Next, let us see how it will be with the sun. When the
earth is at the point A, we shall see the sun as if it were among
the stars at the point a. A month later when the earth has
got to the point B, the sun will appear among the stars at b.
In another month, with the earth at (7, the sun will be seen as
if at c, and so on through the year. As the earth goes through
its revolution round the sun, the sun appears to move around
in a circle among the stars, until the earth gets back to the
position A, when the sun will again appear in the position a.
Hence : —

The sun appears to us to describe a complete circle around the
celestial sphere, among the stars, every year.

The circle thus described by the sun on the celestial sphere
is called the ecliptic.

The zodiac is an imaginary belt in the heavens, extending 8°
on each side of the ecliptic, and passing all round the celestial
sphere as the ecliptic does. The ecliptic is its central line.

If the axis of the earth were perpendicular to the ecliptic,
the plane of the earth's equator would always pass through
the sun, and the sun would always be seen in the celestial
equator. Because of the obliquity of the ecliptic, already
described, the ecliptic is inclined to the equator by an angle of
23£°, cutting it at two points called the Vernal and Autumnal
equinoxes, as shown in figure 19.

To make this clear, we show in figure 20 how, if we could
see the stars around the sun, and the ecliptic and equator
marked on the celestial sphere, we should, day by day, see the
sun moving from west toward east, among the stars.

ASTRONOMY

In very ancient times men mapped out the apparent, course
of the sun round the celestial sphere, as shown in figure 19.
They divided it into twelve parts, each 30° in length, and

FIG. 19. — Showing how the celestial equator and the ecliptic span the
celestial sphere among the stars, the two being inclined at an angle
of 23*°.

Not only the earth, but the whole solar system, must be conceived
as a point in the center of the figure. We must imagine ourselves
looking out from this center. Then if we could see the stars around
the sun we should see the latter appearing to pass around the ecliptic
through the signs of the zodiac, as marked in the figure.

March 22

Ma re h 2/

Equcrft

March 20

March /9

FIG. 20. - The sun crossing the equator about March 20.

named each part after the constellation in which the sun
would have been seen had the stars been visible. These parts

REVOLUTION OF THE EARTH ROUND THE SUN 41

were called signs of the zodiac. The sun enters a sign about
the 21st day of each month. The names of the signs and the
months when the sun enters each are as follows : —

Aries, The Ram . , , . . March

Taurus, The Bull . . . . . April

Gemini, The Twins May

Cancer, The Crab • • June

Leo, The Lion ...... July

Virgo, The Virgin . . . • . August

Libra, The Balance September

Scorpio, The Scorpion . . . . , October

Sagittarius, The Archer ; • . November

Capricorn us, The Goat . . . December

Aquarius, The Water Bearer . . . January

Pisces, The Fishes . . . . . February

When the sun is at the Vernal Equinox, it appears in the
celestial equator, rises exactly east, and sets exactly west.

In figure 19 we see that during the six months the sun is
passing from Aries to Virgo, it appears north of the celestial
equator. It is therefore in north declination ; it rises north
of east and sets north of west. At this time, in the northern
hemisphere, the days are longer than the nights. See the
apparent diurnal course of the sun as shown in figure 22.

When the sun passes from Gemini into Cancer, it has
reached its greatest north declination, and now begins to move
south again. This point is called the Summer Solstice.

When the sun reaches Libra, it again crosses the equator
toward the south. This point is called the Autumnal Equinox.

During the remaining six months, while the sun is passing
from Libra to Pisces, it is in south declination ; it rises south of
east and sets south of west. In the northern hemisphere the
nights are then longer than the days.

When the sun passes from Sagittarius into Capricornus
it has reached its greatest south declination, and begins to
return toward the equator. This point is called the Winter
Solstice.

ASTIiONOMY

5. Seasons in the Two Hemispheres. — The reason that sum-
mer is hotter than winter is that the sun when north of the
equator, not only shines longer upon us every day, but is
nearer the zenith at noon. Thus more of its heat falls on
any given surface — a square mile, for example, as shown in
figure 21.

As the sun moves south in declination, its rays fall upon our
portion of the earth at a greater obliquity, so that every square
mile of our country receives less heat day by day.

FIG. 21. — Showing how a square mile of the earth receives less heat, the
nearer the sun is to the horizon. When the sun is in the zenith, the
region BC receives as many of his rays as the region .4(7, twice as
large, receives when the altitude of the sun is 30°.

The greatest amount of heat is received at the time of the
summer solstice, about June 21, and the least at the winter
solstice, December 22. But the highest average temperature
does not occur till July. This is because the sun's rays re-
quire time in order to warm up the air and the surface of the
land and sea, much as it takes time for a fire to warm up a
room. The lowest temperature does not occur till January,
because earth, air, and ocean retain for some time the heat
radiated to them during the preceding months.

REVOLUTION OF THE EARTH ROUND THE SUN 43

But in the southern hemisphere the seasons are reversed.
When the sun is in south declination, as at the winter solstice,
the southern hemisphere has the longest days and the shortest
nights. Hence, during our winter in the northern hemisphere,
the southern hemisphere has its summer, and it has its winter
during our summer.

South

ASorffi

FIG. 22. — Showing the apparent diurnal course of the sun, as we see it in
our latitudes at different times of the year. You must fancy yourself
standing in the center of the landscape. Then in summer you will
see the sun rise considerably north of east, pass not far south of
the zenith at noon, and set to the north of west, as shown in the
right hand circle of the figure. During the night it is completing that
part of the circle which is below the horizon. During the remaining
months of the year it seems to pass, day by day, farther and farther
toward the south until December, when it seems to describe the left
hand circle. It then rises south of east and sets south of west. We
see that at this time the greater part of the circle is below the horizon,
while in June the greater part is above the horizon.

44 ASTRONOMY

We know that on a general average the hottest climates are
within the tropics, and that the temperature is lower toward
either pole. This is because the obliquity of the sun's rays
increases toward the poles. At the poles the sun shines only
half the year, and then is never more than 23£° above the
horizon.

6. The Solar and Sidereal Years. — There are two ways of
finding how long it takes the sun to complete its apparent rev-
olution in the heavens, or, in other words, how long it takes
the earth to make a complete revolution round it.

One of these consists in observing the exact time at which
the sun reaches the equinoxes. In ancient times astronomical
observers were able to do this by noting the days when the sun
rose exactly in the east or set exactly in the west. By observ-
ing the rising and setting from day to day, they could find not
only the day, but almost the hour in which the sun was on the
celestial equator. Of course, with our more exact instruments,
we can get this time with still greater precision.

The period between two returns of the sun to the same equi-
nox is called the solar year or equinoxial year.

The other way of finding the length of the year consists in
observing the interval of time between two passages of the sun
past the same star in the heavens; for example, the period
between two of its passages past one of the stars shown in
figure 20.

This method seems to involve the great difficulty that we
cannot see when the sun is near the star. But the astronomer
has methods of knowing exactly where a star is by day as well
as by night, and can determine the moment at which the sun
passes it.

The ancient astronomers got the same result by using the
moon as an intermediate object to measure from. The moon
could be seen before sunset and its distance from the sun de-
termined. Then, when the star appeared after sunset, the
distance from the star to the moon was measured. Allowing

REVOLUTION OF THE EARTH ROUND THE SUN 45

for the motion of the moon during the interval, the apparent
distance between the sun and the star could thus be learned
from day to day. In this way it could be found how many
days it was between the times at which the sun was at the
same distance from any given bright star. This would be the
period of apparent revolution of the sun in the celestial
sphere, or, as we now know it to be, the period of one revolu-
tion of the earth in its orbit. This period is called the sidereal
year, because it is fixed by the stars.

Hipparchus, who flourished about 150 B.C., was the first to
make exact observations of the length of the year. Ptolemy,
who flourished about 300 years later, made similar ones. They
found that the length of the year, as determined in these two
ways, was not the same, and that the solar year, as determined
by the equinoxes, was several minutes shorter than the side-
real year determined by the return of the sun to the same
star.

With our exact modern observations we have found the
lengths of the years to be : —

Solar year, 365 d. 5 h. 48 m. 46 s.
Sidereal year, 365 699

Difference, 20m. 23s.

This difference shows that the position of the equinoxes
among the stars is changing from year to year. Hipparchus
and Ptolemy estimated the change to be about one degree in
a century. We know it to be greater than this, — nearly one
degree in 70 years.

7. Precession of the Equinoxes. — The motion of the equi-
noxes which causes the difference between the solar and side-
real year is going on all the time. It is called the Precession
of the Equinoxes.

The nature of precession is now to be explained. The equi-
nox is the point where the sun crosses the celestial equator.
The position of the celestial equator on the celestial sphere

46 ASTRONOMY

is determined by the direction of the earth's axis, because the
celestial equator is 90° from either celestial pole.

The precession of the equinoxes arises from the fact that the
direction of the earth's axis in space is slowly changing.

Next, let us see how the change goes on. Imagine a line
passing through the sun perpendicular to the plane of the
ecliptic. The point in which this line, when continued to the
stars, meets the celestial sphere, is called the Pole of the Edip-
tic. It lies in the constellation Draco, the Dragon, but there
is no bright star near it.

2000 years ago

Ce/e-sr/a/ Equator A.D. /9OO

FIG. 23. — Showing how the equinoxes are gradually shifting in conse-
quence of the motion of the celestial equator among the stars. One
of the brightest stars in the figure, which was south of the equator
two thousand years ago, is now north of it.

You will readily see that the angular distance between the
pole of the ecliptic and the celestial pole, corresponding to
the direction of the earth's axis, is equal to the obliquity of
the ecliptic, 23J°.

Now, the law of precession is that the celestial pole is in
motion, and makes a complete revolution round the pole of
the ecliptic in about 25,700 years. This motion is very slow
to ordinary vision ; it would take a century for the naked eye
to notice it, even by careful observation. But the exact obser-

REVOLUTION OF THE EARTH ROUND THE SUN 47

vations made by astronomers with the meridian circle make it
evident month after month and year after year.

Owing to this motion of the celestial pole the celestial
equator moves also, continually sliding along the ecliptic, and
carrying the equinoxes with it, as shown in figure 23. This is
why the equinox moves among the stars. The rate of motion
is a little more than 50" in a year, or nearly 14° in 1000 years.

Motion of the Ecliptic. — If the plane of the ecliptic were
absolutely fixed, the obliquity of the ecliptic would be always
the same, and the motion of precession would go on forever
at the same rate that it now does. But the attraction of the
other planets on the earth produces a very slow change in the
ecliptic itself, about -5^ the change of precession. In conse-
quence of this change, the revolution of the celestial pole
round the pole of the ecliptic does not take place at an
exactly uniform rate, nor will it always be completed in
3xactly the same time. For the same reason the obliquity of
the ecliptic slowly changes. It is at the present time dimin-
ishing at the rate of about 46" in a century.

Results of Precession. — One result of precession is that the
celestial pole was not so near the polestar in former times as
it is now. In ancient times it was so far away from that star
that the latter could not be considered as a polestar at all. It
has been continually coming nearer, and is still approaching
it. About the year 2110 it will pass by the polestar at a dis-
tance of only 24'. Continuing its course, the celestial pole
will pass some 5° from the star Alpha Lyrse, about 11,000 years
from now, and will continue its circuit until it gets back to
where it now is in about 25,700 years.

The two equinoxes will make a revolution round the equator
in the same period of time, being carried along by the earth?s
equator, which is always at right angles to the earth's axis.

CHAPTER III

OF TIME

1. Diurnal Motion of the Sun and Stars. — We now know
why it is that we do not see the same stars every evening all
the year round. A star which, at any time, is seen in the west
after sunset, will, evening after evening, be seen nearer and
nearer the sun, until it is lost in the sun's rays. Then, when
the sun has got considerably past it, we shall see it in the
morning before sunrise.

FIG. 24.

Imagine ourselves seeing the sun pass the meridian to-day.
Suppose any star above it passing the meridian at the same
moment. To-morrow, at noon, the sun will have moved a little
east of the star (figure 24). Hence the star will pass the
meridian before the sun does. Next day it will pass earlier
than the sun by a yet greater amount, and so on through the
entire year. At the end of the year they will again pass the
meridian together. You see from this that the star, in its

OF TIME 49

apparent diurnal revolution, has been continually running
ahead of the sun and has caught up to it from behind at the
end of the year. It follows that, in the course of the year, the
star will have risen, crossed the meridian, and set one time more
than the sun. The sun makes 365J apparent diurnal revolu-
tions around the earth, there being one revolution a day. It
follows that the star will have made 366J apparent diurnal
revolutions.

If we divide the number of seconds in a day by 365}, it will
give us the time by which the star has gained on the sun every
day. We find the quotient to be 237 seconds, or 3 m. 57 s.
Subtracting this from 24 hours, we find the apparent diurnal
revolution of the stars to be made in 23 h. 56 m. 3 s., or nearly
4 minutes less than a day. Hence, any star passes the meridian
three minutes and fifty-seven seconds, or nearly four minutes,
earlier every day than it did the day before.

The time between two successive passages of a star over the
meridian is called a sidereal day, which means star day.

Astronomers divide the sidereal day into 24 sidereal hours,
each hour into 60 sidereal minutes, and so on.

It will be seen from the way we have described the equi-
noxes that they each mark a certain point among the stars
on the celestial sphere, and therefore that each equinox, like
a star, crosses the meridian every day about 3 m. 57 s. earlier
than it did the day before. When the vernal equinox crosses
the meridian of a place, it is called sidereal noon at that place.

Sidereal time is the number of sidereal hours, minutes, and
seconds since the vernal equinox crossed the meridian. It is
counted from 0 h. to 24 h.

A sidereal clock is a clock so regulated as to keep sidereal
time. Its pendulum is a little shorter than that of a common
clock, so that it shall gain 3 m. 57 s. a day on the latter. The
hands being set so that they shall read 0 h. 0 m. 0 s. as the ver-
nal equinox crosses the meridian, the successive passages of
the 24 principal hour circles over the meridian are told off by
the clock. By looking at the clock, the astronomer can deter-
NEWCOMB'S ASTRON. — 4

ASTRONOMY

mine at any moment the position of any constellation relative
to his meridian, and can point his telescope at any star he wants
to see by day as well as by night.

2. Mean and Apparent Time ; Inequality of Apparent Time. —
The measure of time which we use in daily life is called civil
time. The moment when the sun crosses our meridian we call
noon. But there is a difficulty in using the true noon as 12
o'clock, owing to the obliquity of the ecliptic and the unequal
motion of the earth round the sun.

FIG. 25. — Showing the reason of the equation of time.

The earth moves a little faster in its orbit in our winter than
it does in our summer. Hence the sun seems to move along in
the ecliptic a little faster in winter than in summer. Owing
to the obliquity of the ecliptic the earth sometimes has to turn
farther in order that a meridian may catch up to the sun, than
it does at other times.

Figure 25 shows this. Suppose that on some day at noon near
the vernal equinox we see the sun at R. Next day the point
R being fixed among the stars will pass the meridian 3 m. 57 s.
before noon, and the sun will be at S, having moved obliquely
toward the north. In order that the sun S may reach the
meridian TR9 it will have to pass over the distance ST by its

OF TIME 51

apparent diurnal motion ; or, in other words, the meridian TR
will have to pass over the distance TS to be at the sun. But
the line ST is shorter than SR. Hence it will take the sun
less than 3 m. 57 s. to pass from S to T, so that it will be on
the meridian a little earlier than it was the day before.

Next suppose the sun near the summer solstice. On account
of the convergence of the meridians from the equator toward
the north pole, the sun will pass over more than 3 m. 57 s. of
right ascension near the solstices, and so will pass the meridian
later each day than the day before.

In consequence of these two inequalities, the sun, at certain
times of the year, falls behind, little by little, day after day,
and at other times it catches up again, making the times
between noons longer at some seasons than at others. Hence,
if we used time measured by the true position of the sun, our
hours would be of slightly unequal length. This unequal time,
measured by the true sun, is called apparent time. The moment
when the real sun is on the meridian is called apparent noon.

In former times, when people did not have good watches or
clocks, and the exact time was not important to know, they
generally went by the sun in setting their timepieces. But
owing to the inequality of the intervals between two apparent
noons, a timepiece will not keep apparent time.

Mean Time. — To make the hours of equal length, we fancy
an imaginary sun to move round the celestial equator at a
uniform rate, so that the true sun shall be sometimes ahead
of and sometimes behind the imaginary sun. The latter is
called the mean sun.

When the mean sun passes our meridian, it is called mean
noon. Time measured from mean noon to mean noon is called
mean time. This is the only kind of time we can measure with
a clock, and it is the only kind now in general use.

Equation of Time. — The difference between apparent time
and mean time is called the equation of time. It is greatest
early in November of every year, when the true sun crosses the
meridian about 16 minutes before mean noon. In February,

52 ASTRONOMY

the true sun is nearly as far behind the mean sun and crosses
the meridian about 14 minutes after mean noon. Thus the
greatest mistake we should make in measuring time by the true
sun would be about a quarter of an hour.

Some almanacs give the equation of time for every day in
the year, or, which amounts to the same thing, the time to which
you should set your clock every day at the moment when the
sun is on the meridian. The following examples will make
this clear : — %

February 11, sun on meridian at 12 h. 14 m. mean time

April 15, sun on meridian at 12 0 mean time

May 14, sun on meridian at 11 56 mean time

June 14, sun on meridian at 12 0 mean time

July 26, sun on meridian at 12 6 mean time

September 1, sun on meridian at 12 0 mean time

November 3, sun on meridian at 11 44 mean time

December 25, sun on meridian at 12 0 mean time

We see that there are four days in the year when the sun is
on the meridian at mean noon, so that the mean and apparent
time are then the same.

3. Local Time and Longitude. — As the earth revolves on its
axis, all its meridians in succession pass the sun, or, as it
appears to men, the sun passes all the meridians in its apparent
diurnal motion round the earth. Because it is noon when the
sun is on the meridian of a place, we see that noon is contin-
ually traveling round the earth, getting back to the same place
in 24 hours. The circumference of the earth being 360°, we
find, by division, that noon travels round the earth at the rate

15° in 1 hour of time
15' in 1 minute of time
15" in 1 second of time

In the latitude of the middle states, 1' of longitude is about
4800 feet. Hence, 15" is about 1200 feet. Thus we see that,
in our latitude, noon travels from east to west at the rate of

OF TIM B SB

about 1200 feet a second. It requires between 4 and 5 seconds
to travel a mile. Hence, two places do not have the same time
at the same real moment unless they are north and south of
each other.

Time measured at any place from the noon of that place is
called local time. Hence the local time of two places a mile
east and west of each other will differ in our latitude between
4 and 5 seconds. As there are 3600 seconds to an hour, it fol-
lows that at two places 800 miles east and west of each other,
the difference of time will be about an hour.

4. Standard Time. — When people traveled by stage coaches
or sailing vessels, and did not have very good watches, this
difference of local time in different places caused them no
trouble. When a man drove by stage to another place he set his
watch on the new time. But when railroads got into opera-
tion, so that a man could, in the course of a day, travel from
one place to another where the time was half an hour or more
different, it was very troublesome. Nearly every railroad
chose the time of one of the principal cities through which it
passed, and thus it happened that travelers would frequently
miss a train by mistaking the time.

To remedy this inconvenience, our system of standard time
was introduced in 1883. Four standard meridians through the
United States were chosen, 75°, 90°, 105°, and 120° west of
Greenwich. By looking at a map of the United States we
may see where these meridians run.

The eastern meridian, 75° west of Greenwich, passes through
central New York, and a little east of Philadelphia, between
that city and Trenton.

The central meridian, 90° west, passes through Wisconsin
a little west of Madison, and down the Mississippi Valley
through New Orleans.

The meridian of 105° passes along the eastern slope of
the Rocky Mountains, through Wyoming, Colorado, and New
Mexico.

54 ASTRONOMY

The meridian of 120° passes through Washington, Oregon,
and California, entering the Pacific Ocean on the coast of the
latter state.

The local time of any one of these meridians is called standard
time. To see how it compares with local time, as already de-
fined, suppose a telegraphic operator anywhere on the 75th
meridian to signal the exact moment at which mean noon
reaches his meridian to all the people east of longitude 82£°.
When these people hear his signal they set their watches at 12
o'clock, so that they will all agree. The time their watches
then keep is called Eastern Time.

One hour later, mean noon has reached the 90th meridian.
At this moment we fancy a telegraph operator to send a signal
to every one within 7£° of that meridian, that is every one
living between 82^° and 97£° of longitude. These people all
set their watches at 12 the moment they hear his signal. At
this moment it will be 1 o'clock by all the eastern watches, so
that the watches in question will be one hour behind the east-
ern ones. The time they keep is called Central Time.

The people in the Rocky Mountain region, including all those
between 97£° and 112£° of longitude, wait another hour, till
mean noon has reached the meridian of 105°, and then all, at
the same moment, set their watches at 12. The time they
keep is called Mountain Time.

In another hour mean noon has reached the meridian 120°
west. At this moment all the people in the region west of
112£°, which includes the whole Pacific Coast, set their watches
at 12. The time they keep is called Pacific Time.

We see that

at 12 o'clock Pacific time
it is 1 o'clock Mountain time
and 2 o'clock Central time
and 3 o'clock Eastern time.

Hence the standard times differ only by one, two, or three
hours. When one travels from San Francisco to New York, if

OF TIME 55

he wants his watch to keep the time of each region through
which he passes, he sets it an hour forward as he enters each
region. If he travels west, he must put it back as he enters
each region. These jumps of one hour in standard time are
arranged for our convenience, so that when we travel we shall
not have to use a different time at every town.

Understand clearly the difference between local and standard
time. The former changes constantly as we travel east or
west, because our meridian is then constantly changing. Sun-
rise and sunset are given in local time, because they constantly
travel from east to west around the earth. Hence, if a watch
is set by the time of sunrise or sunset as we find it in an
almanac, it will not give standard time unless we are on one
of the standard meridians.

The difference between standard and local time is greatest
at places half way between two standard meridians. Here the
people can choose which meridian they will. If they choose
the meridian next east of them, their watches will be half an
hour fast of local time ; if they choose that next west, they
will be half an hour slow. Cincinnati, for example, is in lon-
gitude 841°. This is 5£° east of the central meridian, corre-
sponding to 22 minutes of time. Hence, central time is there
22 minutes behind local time, so that noon at Cincinnati occurs
22 minutes before 12 o'clock central time

CHAPTER IV
OBSERVATION AND MEASUREMENT OF THE HEAVENS

1. Refraction of Light. — When rays of light enter a trans-
parent substance, as water or glass, in an oblique direction,
they are bent toward the direction of the perpendicular, as
shown in figure 26. When they pass out of such a substance,
they are bent away from the perpendicular, as shown at the
bottom of the figure. This bending of light on entering or
leaving a transparent medium is called refraction.

FIG. 26. — Showing the refraction of light in passing through glass, or any
other transparent substance. When it enters the glass the rays are
bent toward the perpendicular ; when it leaves it they are bent from
the perpendicular.

A familiar effect of refraction is seen in the bent appearance
of an oar or a straight stick when held obliquely with its end
under water. A clear pool looks shallower than it really is, for
the same reason.

Atmospheric Refraction. — Kef raction may be produced by a
gas as well as by a solid body. If the gas is unequally dense
in its various portions, a ray passing through it is refracted
toward the denser portion. Now the air is more and more dense

OBSERVATION AND MEASUREMENT

FIG. 27. — Showing why a pool of water looks shallower than it really is
in consequence of refraction. The looker-on imagines the bottom to
be in a straight line in which he is looking, while in reality it is in the
direction of a bent line and lower down.

from its upper limit to the surface of the earth. Hence, when
a ray of light passes through it, it is bent by refraction, so that
its course is concave toward the surface of the earth. This is
shown in figure 28, which represents the earth surrounded by

FIG. 28. — Showing how the sun's light is refracted by the atmosphere so
as to illuminate the region within the earth's shadow. If the rays of
the sun went in straight lines without refraction, they would pass
through the point J5, but, in consequence of refraction, they are bent
down in the direction G. Hence, they meet each other before they
reach the moon, and at the distance of the moon the whole interior
of the shadow is illuminated with a lurid light.

58 ASTRONOMY

its atmosphere. As a ray passes through the air, instead of
continuing in the straight line AB, it is gradually bent so as
to leave the atmosphere in the direction AC. This bending is
called atmospheric refraction. When the light comes from a
heavenly body, this refraction by the air is called astronomical
refraction.

We always see a body in the direction from which the light
it emits or reflects reaches our eyes. Thus, as a result of
refraction, a heavenly body is always seen nearer the zenith
than it really is. The refraction is small near the zenith, and
at an altitude of 45° only amounts to 1', a quantity that the
eye could barely perceive. But it increases with great rapidity
near the horizon, where it amounts to more than half a degree.
Hence, on a level plain, or at sea, we still see the setting sun
when its true direction is below the horizon, because at the
horizon the refraction is a little greater than the diameter of
the sun. In this case the lower limb of the sun is refracted
more than the upper limb, which makes the sun look elliptical
in form, the horizontal diameter being longer than the vertical
diameter.

Another consequence is that the sun really illuminates a
little more than half the earth, the curvature of the rays bring-
ing them a little beyond where they would touch the earth if
there were no atmosphere.

Dispersion. — If the surface where the ray leaves a homo-
geneous medium is parallel to that by which it enters, as in
figure 26, the course of the ray after leaving will be parallel to
its course before entering. But if the surfaces are not parallel,
this will not be the case. If the transparent body is a tri-
angular prism, as shown in figure 29, the ray may be refracted
in the same direction both on entering and leaving. In this
case ordinary light will not leave the medium as a single ray,
but will be separated into rays of different colors. This sepa-
ration of light into rays of different colors is called dispersion.

The effect of dispersion is seen very prettily when the rays
of the sun are passed through a triangular prism of flint glass,

OBSERVATION AND MEASUREMENT

and thrown upon a white screen or wall. We may then dis-
tinguish five very brilliant colors, red, yellow, green, blue, and
violet, as well as some intermediate shades between these. If
we notice how these colors are placed, we shall see that the

FIG. 29. — Showing how rays of light are refracted in passing through a

prism.

red light is refracted from its course the least of all, yellow
more, green yet more, and so on. This shows that the white
light of the sun is a mixture of light of countless different
kinds, each kind being refracted differently from the other
kinds.

2. Lenses and Object Glasses. — When rays of light from a
distant object pass through a convex lens, the curvature of the
surface causes the rays to be more refracted the nearer they
pass to the circumference of the lens. The result is that the
rays coming from any one point of the object all converge very

FIG. 30. — Showing how parallel rays of light are brought to a focus at F
by passing through a convex lens. An observer holding his eye at
F and looking at a light, however small, in the distance, would see
the whole lens illuminated by the light.

nearly toward a certain point, ^(figure 30), which is called the
focus of the lens, and then diverge again as if they were emitted
by the focus. The effect of this can easily be seen by holding a

ASTRONOMY

common reading glass or magnifying glass perpendicular to a
window on the other side of a room. If you then hold a piece
of white paper at the proper distance beyond the glass, you will
see a little picture of the window on the paper. A picture thus
formed by a lens is called an image of the object emitting the
light that forms it. The lens may form the picture in the air
when there is no surface on which the light may fall.

The focal length of a lens is the distance from its center to
.the image of a distant object formed by it.

The ordinary lenses which we use have convex surfaces and
are called convex lenses. But a lens may be made having one
or both surfaces concave. It is then called a concave lens.

FIG. 81. — Showing how rays of light are made to diverge by a concave
lens instead of being brought to a focus.

When rays from an object fall on a concave lens, they are not
brought to a focus, but, on the contrary, are made to diverge by
the refraction of the glass, as shown in figure 31.

An ordinary lens does not bring all the light actually to the
same focus, on account of the dispersion of rays of different
colors just described. The image of a star, instead of being
a point, is a little colored circle near the focus. This disper-
sion is called chromatic aberration, and results in indistinctness
of vision. But two lenses of different kinds of glass may be
so formed that, when joined together, the rays passing through
them shall all converge almost exactly to the same point. One
of the lenses must be convex, the other concave. The convex

OBSERVATION AND MEASUREMENT

lens is commonly made of crown glass, the concave one of flint.
The property of these kinds of glass is that flint refracts light
about as much as crown, but disperses the rays nearly twice as
much. The dispersive powers of the concave and convex glasses
act against each other, so that the rays leave the last lens with-
out dispersion and so come to the same focus. Such a com-
bination is called achromatic or free from color (figure 32).

Axis of

Objective

FIG. 32. — Section of an achromatic objective, showing the form of the
flint and crown lenses. The crown lens is always convex ; the flint
has at least one surface concave.

3. The Refracting Telescope. — A refracting telescope is one
in which the image is formed by a lens or achromatic combina-
tion of lenses called the object glass or objective of the telescope.
When the telescope is pointed at a heavenly body or other dis-
tant object, the rays passing through the object glass come to a
focus, and form an image of the object. This image is to be
seen by the aid of an eyepiece, which is a combination of two
small lenses so arranged that the observer can get as good a
view as possible of the image.

Magnifying Power. — The magnifying power of a telescope
is the number of times that it makes the linear dimensions of
an object seem longer than they do to the naked eye. For
example, the apparent diameter of Jupiter is commonly about
40". A magnifying power of 50 would make it appear 2000",
or more than 33' in diameter, and larger than the sun or moon.

The law of magnifying power is that it is equal to the quo-
tient of the focal length of the object glass divided by that of the
eyepiece. Thus, with a telescope of eight feet focal length we

62 ASTRONOMY

should get a magnifying power of 96 by using an eyepiece of
one inch focus, and a power of 192 by using one of half an
inch focus.

It follows that, with any telescope, as high a power as we
wish can be produced by using an eyepiece small enough. But
a limit is soon reached beyond which a higher power will not
enable us to see any more, because the light becomes fainter
and the object more indistinct. Commonly an eyepiece between
J and £ an inch in focal length will show all that can be seen
with any telescope.

As much of the sky as we can see in a telescope at one time
(as magnified in the telescope) is called the field of view of the
telescope. In the telescope, the field of view commonly looks
very large, but the actual portion of the sky which it takes in is
very small. The higher the magnifying power, the smaller it is.

The line which forms the central axis of the tube of the tele-
scope, or which passes through the centers of the objective and
eyepiece, is directed toward the center of the field of view. It
is called the line of sight of the telescope.

4. The Equatorial Telescope. — If we point a telescope at a star,
and do not move it, we shall see the star move rapidly across
the field of view and disappear. This is because the telescope
stands on the revolving earth, and turns with it. The apparent
diurnal motion of a star, when seen in a telescope, is multiplied
as many times as the telescope magnifies. Hence the higher
the magnifying power of a telescope, the more rapidly the star
will seem to move across the field of view. If we wish the
telescope to stay pointed at a star, we must move it in the
opposite direction to that in which the earth turns. This is
done by supporting the telescope on axes on which it can
revolve. The machinery by which the telescope is made to
revolve, and the handling of the telescope made possible, is
called the mounting of the telescope. A telescope mounted so
as to follow a star in its diurnal motion is called an equatorial
telescope, or simply an equatorial.

OBSERVATION AND MEASUREMENT

Figure 33 shows the mounting of an equatorial. In P is an
axis parallel to the axis of the earth, the upper end of which,
in the northern hemisphere, points to the north celestial pole.
This axis is therefore oblique to the horizon. It is called the
polar axis of the
telescope.

To the upper
end of the polar
axis is fastened
a sheath D, con-
taining another
axis. This is
called the decli-
nation axis, be-
cause by turning
the telescope on
it, the latter may
be pointed at any
circle of declina-
tion.

By turning the
telescope on these
two axes we can
point it to any
part of the heav-
ens. If we wish
it to stay pointed
at a star with-
out our touching
it, the telescope
must be supplied
with a clockwork
so made as to keep the telescope turning from east toward
west, exactly as fast as the earth turns from west toward east.
Then by pointing the telescope at a star, and starting the
clockwork, the star will remain in the field of view.

FIG. 33. — A small equatorial telescope.

64 ASTRONOMY

5. The Reflecting Telescope. — Rays of light from a heavenly
body may be brought to a focus by a concave mirror as well as
by a lens, as shown in figure 34. On passing through the focus

FIG. 34. — Showing how parallel rays falling on a concave mirror are
brought to a focus at F.

they will diverge again, as they do after passing through the
focus of a lens. Hence an image of a heavenly body may be
formed in the focus of a concave mirror.

A reflecting telescope is one in which the image is formed by
a concave mirror.

Such telescopes can be made of larger size than refracting
telescopes, but they are not so convenient to use.

The observer, to view the image directly, would have to stand
in front of the mirror, and thus be in the way of the light from
the body to the mirror. The best way of avoiding this is to
put a small diagonal reflector in the middle of the tube, nea-
the focus, as shown in figure 35. Then the observer looks in
sidewise near the end of the telescope where the eye is shown
in the figure. The small mirror and its supporting piece cut
off some of the light, but not so much as the observer's head
and shoulders would cut off if he looked directly at the image.

6. Great Telescopes. — Large telescopes are objects of so much
interest, that a short history of their growth will be given.
The object glasses of the first telescopes, namely, those made
by Galileo and his immediate successors between 1610 and
1750, consisted of only a single lens. Such a lens, as we have
already seen, refracts the light of different colors to different
foci. For this reason distinct vision was impossible with these

OBSERVATION AND MEASUREMENT

instruments. Vision was, however, im-
proved by making them very long. It is
said that some were 100 feet or more in
length, but these proved to be quite un-
manageable and were probably
of very little use.

This difficulty with the re-
fracting telescope led Sir Isaac
Newton to propose the use of the reflect-
ing telescope, which was free from chro-
matic aberration. He made some small
instruments of this kind, but they were
little more than toys until the time of Sir
William Herschel. This great astronomer
was at the height of activity between 1770
and 1800. He acquired such skill in mak-
ing reflecting telescopes that he carried
them up to two feet, and in one case, four
feet in diameter. But the difficulty was
then encountered that the reflecting mir-
ror, when large, would bend under its own
weight, so that a good image could not be
formed. Thus, notwithstanding the celeb-
rity of Herschel's great 40-foot telescope,
his observations were nearly all made with
smaller instruments.

About 1760, Dollond of London invented
the achromatic telescope. In this instru-
ment, as previously described, the object
glass is composed of two lenses of oppo-
site curvatures and of different kinds of
glass. But it was long found impossible
to make large achromatic telescopes, owing

to the difficulty of making large blocks

£ a- . / i.1. A FlG- 35- — A reflect-

of flint glass of the necessary fineness and ing teiescope on the

purity. This kind of glass contains a Newtonian plan.
NEWCOMB'S ASTRON. — 5

ife

1 1

;

. i

rrT7 "

W//

//^///////1

>^^±

66 ASTRONOMY

large quantity of lead, and the lead would sink down to the
bottom of the pot in which the glass was melted, and thus
make the glass heterogeneous and unfit for use. Thus, a hun-
dred years ago, a refracting telescope four inches in diameter
was considered large.

About 1810, Guinand, a Swiss glass maker, found a method
of making disks of glass much larger than had before been
possible. At the same time rose the celebrated Fraunhofer, a
German optician, who acquired remarkable skill in grinding
and figuring the lenses of object glasses into exact shape. He
and his successors in Germany carried refracting telescopes up
to 15 inches' aperture. In 1845 a telescope of this size was
made for the Harvard Observatory in Cambridge, Massachu-
setts, and became, in consequence of its size and excellence,
one of the celebrated instruments of the world.

About the same time, Lord Rosse of Ireland made his cele-
brated reflecting telescope, six feet in diameter. This is still,
in size, the greatest telescope ever constructed. But the impos-
sibility of keeping the mirror in proper polish and preventing
it from bending under its own weight is such that more can be
seen with smaller telescopes of different construction than with
this celebrated instrument. Hence, it became desirable to
improve the refracting telescope still farther.

The first one to improve on the work of Fraunhofer and his
successors was an American, Alvan Clark, of Cambridgeport,
Massachusetts. After making a number of small telescopes
whose object glasses proved to be superior to any ever before
figured, he succeeded, about 1861, in making a telescope of 18
inches' aperture, which was then the largest ever made. This
instrument still exists at the observatory of the Northwestern
University, Evanston, Illinois.

Shortly afterward, Cooke, of England, made a telescope of
25 inches' aperture, which was therefore much larger than
that of Clark. This telescope was made for Mr. Newall of
England. It is now at the University of Cambridge.

In 1873 Clark finished two telescopes an inch larger than

OBSERVATION AND MEASUREMENT

that of Mr. Newall. One was for the Naval Observatory
of Washington, the other was given by its owner, Mr. L.
McCormick, to the University of Virginia.

FIG. 36. — Great 40-inch telescope of the Yerkes Observatory.
Next, a telescope of 30 inches' aperture was made in France
by the Brothers Henry, and is now mounted at the observatory
of Nice 011 the coast of the Mediterranean.

68 ASTRONOMY

In 1883 Mr. Clark and his two sons made the object glass
of another telescope of 30 inches7 aperture for the observatory
at Pulkowa, in Russia. The mounting of this instrument was
made by the Repsolds of Hamburg.

In 1876 Mr. James Lick, of California, gave money to found
an observatory, which was to be provided with the largest
telescope that had ever been constructed. The work of making
the object glass of the instrument was again intrusted to
Messrs. Alvan Clark and Sons, but great difficulty was found
in getting disks of glass of the necessary size and purity. At
length, after many years of failure, a Frenchman succeeded
in the difficult task of making excellent disks of 36 inches'
diameter. With these the Messrs. Clark completely finished
the object glass of the telescope in the year 1887. The mount-
ing was made by Warner and Swasey, of Cleveland, Ohio.
Mr. Lick's observatory, which is called after him, was built
on Mount Hamilton, in California, and the telescope com-
menced its work there in 1888.

The largest refracting telescope now in actual use is that
built at the expense of Mr. Yerkes of Chicago for the univer-
sity of that city. The object glass is 40 inches in diameter,
and was figured by Alvan G. Clark, the son, and mounted by
Warner and Swasey. The Yerkes Observatory, in which it is
placed, is near the shore of Lake Geneva, Wisconsin.

7. Meridian Instruments. — A telescope of some sort is an
essential part of every instrument intended for exact astro-
nomical observation and measurement. One of the most
common of astronomical instruments is the meridian transit
instrument. Instead of being mounted like an equatorial, so
as to be pointed in any direction, it turns on only a single
horizontal axis, having an east and west direction. Thus the
telescope turns only in the plane of the meridian, so that it
will show us objects only while they are crossing the meridian.

To explain the use of the transit instrument we must recall
what we have said about sidereal time. A sidereal clock is set

OBSERVATION AND MEASUREMENT

running in such a way that its hands shall point at Oh. Om. Os.
when the vernal equinox is crossing the meridian. Then as
the various heavenly bodies are seen in the transit instrument,
crossing the meridian, the time shown by the hands on the
face of the sidereal clock shows the right ascension of each.

If you should look into a transit instrument, you would see
one or more dark lines passing up and down across the field of
view. These are fine lines made
of spider web, the middle one of
which marks the meridian. The
moment at which a star crosses
this line may be noted on the
clock within a small fraction of
a second. This gives us the right
ascension of the star with the
same precision.

This instrument also enables us
to determine the time of day, or
the error of a clock or watch, with
the same exactness. The observer
notes the time by the clock at
which a star of known right as-
cension crosses the meridian ; the difference between the clock
time and the right ascension is the error of his clock, for which
he can make due allowance at any moment.

The moment of noon is sent out by a telegraphic signal
from different observatories to railway offices and elsewhere,
so that any one who receives the signal may set his clock exact
to a second, if he has the skill to do it and exercises the
necessary care.

To the transit instrument are sometimes attached vertical
circles, which will turn with the instrument. These circles
have fine lines engraved all round their circumference, so as to
mark off the degrees and minutes of the circle. By their use
the declination of a star, as it passes the meridian, may be
observed.

FIG. 37. _ The threads in the
focus of a transit instru-
ment, with a star passing
over them.

ASTRONOMY

FIG 38 -A meridian circle seen from the south. O, C are the graduated
'circles which are divided into degrees and small fractions of a degree
generally two or five minutes. M, M are four microscopes through
which the graduations on these circles are read.

OBSERVATION ANE MEASUREMENT 71

An instrument moving in the meridian, and provided with
such a circle, so that both right ascension and declination may
be observed, is called a meridian circle.

8. The Spectroscope and its Use. — We have seen that ordi-
nary light, which seems to us white, is made up of countless
rays of different colors, which can be seen separately by
passing them through a prism, which causes them to be
dispersed.

When the dispersed rays fall on a surface so that the
different colors can be seen, the appearance is called a
spectrum.

The solar spectrum is the spectrum which is formed when
the rays of the sun are dispersed in the way described.

The spectrum of a star, a planet, or any other body, is the
spectrum produced by the light coming from that body.

Different substances produce different kinds of spectra, so
that it is frequently possible, from the nature of a spectrum,
to know what kind of substance emitted the light, or through
what kind of transparent medium the light has passed. The
operation of detecting substances by their spectra is called
spectrum analysis.

The Spectroscope. — A spectroscope is any instrument for
showing or photographing a spectrum. The simplest spec-
troscope of all consists of a triangular prism of flint glass,
like that of which the section is shown in figure 29. If we
look through such a prism at a bright star or a distant light,
we shall see the object spread out into a line of light of which
the color varies from red at one end to blue or violet at the
other, just as when the light of the sun passing through such
a prism is thrown on a screen. When we look at the object
directly, the retina of the eye is the screen on which the,
image falls.

The simplest kind of an astronomical spectroscope is shown
in figure 39. This one is used in connection with a telescope.
At S is a very narrow slit, between two plates of metal shown

ASTRONOMY

in figure 40. This is fastened to the eye end of a large
telescope so that the slit shall be in the focus. This telescope,

FIG. 39.

not shown in the figure, is pointed
of the star shall be formed in the

FIG. 40. — The slit of a spectroscope. AB
and CD are slides in a plate of metal
having an opening in it, shown by the
dotted lines. This opening is nearly
covered by the two plates of metal K
and L, which move in the slides by a
screw, and may be adjusted so as to
form a slit SS as narrow as we please.
This slit is placed in the focus of the
telescope.

at a star so that the image
slit through which all the
rays from it will pass.
Then the rays diverge as
shown by the dotted lines
and pass through an ob-
ject glass A. The focus
being at the slit, the rays
of any color, yellow for
example, will, after pass-
ing through the object
glass, -be refracted so as
to be parallel to each
other.

This combination of the
object glass A with the
slit in its focus is called
the collimator of the spec-
troscope.

After leaving the colli-
mator the rays next fall
on the prism P, by which

OBSERVATION AND MEASUREMENT 73

they are refracted in the way already shown. Next they pass
to a second object glass B, which is part of a small telescope,
and are again brought to a focus at C.

The action of the whole apparatus is such that rays of the
same color come to the same focus at (7, while those of a
different color will come to a focus above or below the others,
according to their different colors.

Then, an observer looking into C with an eyepiece E, as in
an ordinary telescope, will see the- spectrum of the star.

If, instead of using the eye, a sensitized photographic plate
is inserted at (7, a photograph of the spectrum may be taken.
But this photograph will not, of course,
show the different colors of the light.

In a powerful spectroscope, instead of
a single prism at P, a long row of prisms
is used in order to secure a greater dis-
persion of the light. FIG. 41.— The objective

A yet simpler form of spectroscope spectroscope consist,

. , ,. , , . , , , , mg of an object glass,

consists of nothing but a telescope and with a refracting

a prism, the latter being put over the prism in front of it,
object glass as shown in figure 41. Then by which the light

an observer looking into the telescope of a *tar ™y bef dis~

persed before it en-
will see the spectrum of the star. A pho- ters tne telescope.

tograph of this spectrum may be taken
in the same way as with the telescope. With such an instru-
ment photographs of the spectra of all the stars in the field
of view of the telescope may be made.

Kinds of Spectra. — If, with any form of spectroscope, we
look at the flame of a candle or any other artificial light, not
very far away, the spectrum will show the whole series of
spectral colors without any dark lines; but if the light at
which we look is several" miles away, a distant gaslight, for
example, we shall see that the spectrum is crossed by a
number of dark lines. Why do these lines appear when the
light is at a distance, and not when the light is near ? Experi-
ments show that it is because some of the light is absorbed by

ASTRONOMY

[indigo

(Green

'ellow

I Orange

Red

FIG. 42.

The solar spectrum with
its dark lines.

the air through which it passes. The
light absorbed is that which belongs
in the place of the dark lines. The
process by which this is brought about
is called selective absolution. The word
selective implies that the air does not
absorb all the different kinds of light
equally, but picks out, or selects, cer-
tain'kinds.

Spectrum of the Sun. — If, instead
of looking at a distant light, we ex-
amine the light of the sun by the
spectroscope, we shall find that, in ad-
dition to the lines produced by the air,
there are a great number of other
dark lines in the spectrum. These are
formed by the selective absorption of
the sun's atmosphere, which is dif-
ferent from the atmosphere of the
earth.

If, instead of the sun, we examine
the spectra of the stars, we shall find
yet different lines. If we examine
the spectra of some kinds of burning
gas, we shall find one or more bright
lines varying according to the nature
of the gas. This shows that such
a gas does not give out light of all
colors, but only light of particular
colors.

9. Semidiameter and Parallax. — If

an observer with his eye at E, figure
43, is looking at a globe, as AB, the
apparent diameter of this globe, as it
appears to him? will be the angle be-

OBSERVATION AND MEASUREMENT

tween the lines EA and EB drawn from his eye so as to
touch the globe. One half of this diameter, or either of the
angles AEG or BEC, is called the semidiameter. Thus by the

FIG. 43. — Apparent diameter of the sun, moon, or other heavenly body,
as seen by an observer at E. The diameter is the angle AEB, sub-
tended by the whole diameter of the body, while the semidiam-
eter is the angle CEA or CEB between the center and apparent
circumference.

semidiameter of the sun or moon we mean the angle between tf
two lines, one of which is drawn to the center of the sun orf'
moon, and the other to its apparent circumference.

It is evident that the semidiameter of a given body is
smaller, the farther the body is away.

The parallax of a heavenly body is the difference of the //
directions in which it is seen from two different points.

Let S, figure 44, be the body, and A and B the two points
from which it is seen.

FIG. 44. — Showing the parallax of a body at 8.

An observer at A looking at 8 will see it in the direction
ASX. An observer at B will see it in the direction BST.
The difference of these directions is the angle XSY, which is
equal to the angle A/SB. This angle is the parallax of the body
for these two observers. In measuring parallax we may sup-
pose the lines SX and S Y continued till they reach the celes-
tial sphere. The parallax is then an arc XYou the sphere.

76 ASTRONOMY

Since the heavenly bodies are seen by observers from differ-
ent points of the earth, they all have parallaxes. When an
astronomer wishes to compute the direction of such a body
from where he is stationed at a certain time, he first computes
its direction from the center of the earth. Then he computes
the difference of the direction from the center of the earth and
from his point of observation. Since he is carried around by
the turning of the earth on its axis, it follows that the paral-
lax will be continually changing on account of this motion.

The horizontal parallax of a body is the difference of its
direction AS (figure 45) when it lies in the horizon of an ob-
server at A, and the direction OS in which it lies from the
center of the earth. We see that this angle is the same
as the semidiameter, ASC, of the earth as it would be if seen
from the body S.

FIG. 46. — Horizontal parallax of a body at 8. The circle represents

the earth.

It is evident that the horizontal parallax of a body is less,
the greater the distance of the body. Hence the heavenly
bodies have a less or greater parallax according to their greater
or less distances. Thus parallax and distance stand in a cer-
tain relation to each other.

The moon being the nearest body to the earth, it has the
greatest parallax of all the heavenly bodies. Its horizontal
parallax is generally about one degree. This is nearly twice
its apparent diameter.

If an observer in New York, looking at the moon when near
the meridian, should see her just south of a star, one looking
at her in Chile would at the same moment see her north of the
star.

OBSERVATION AND MEASUREMENT 77

The parallax of the other bodies of the solar system is so
small that the eye could not perceive it. The sun's horizontal
parallax is about 8.8". This is the same thing as saying that
the earth would have an apparent semicliameter 8.8", if we could
view it from the sun. Although a body of this size would be
invisible to the naked eye, it would be a large object when
measured with the telescope.

The only way in which the distances of the bodies of the
solar system can be directly measured is by their parallax.
Two observers on opposite sides of the earth, making exact
observations of the direction in which they see the moon or a
planet, can determine the parallax of the body observed, and
from that can learn its distance. Thus, to express the distance
of the sun, astronomers say that its horizontal parallax is 8.8".

There are, however, other ways of getting at distances in
the solar system. For example, the distance of the moon is
determined by calculating how far off it must be to revolve
around the earth in the time we see that it actually does
revolve.

The distance of the sun is also determined by the velocity
of light. It is found by experiment that light travels about
186,000 miles in a second. It is also found that it takes 500
seconds for light to travel from the sun to the earth. It is a
very simple problem to find from these figures how far the sun
must be.

10. The Aberration of Light. — It is found by very exact
astronomical observations that we do not see a star in its true
direction unless it lies in the direction of the earth's motion
round the sun at the moment of observation. In all other
positions the star will seem to be displaced in the direction
toward which the earth carrying the observer is moving at the
moment. For example, if the star is in the position S, figure
46, and the earth at E is moving in the direction of the arrow,
then the star will appear as in the position T, in the direction
shown by the dotted line. This displacement arises from the

ASTRONOMY

combination of the earth's motion with the motion of light. It
is called the aberration of light, or, for shortness, aberration
simply.

FIG. 46.

FIG. 47.

To explain aberration suppose AB, figure 47, to be a very
long and narrow tube, and let the dotted line be a ray of light
from a star, so that, if the tube were at rest, the ray would
pass centrally through it, from A to B. Then an observer
looking through the tube at B would see the star in the central
line of the tube.

Now suppose the tube and observer to be moving in the
direction shown by the arrow, so that while the light is pass-
ing from A to J5, the tube is carried from the position AB to
the position CD. Then, the motion of the tube would cause
the ray to strike the side of the tube before getting through it,
so that the observer would not see the star.

In order that the star may be seen while the tube is in
motion, the latter must be inclined in the position AN. Then,

OBSERVATION AND MEASUREMENT 79

while the ray of light is passing from A to JB, the end N of
the tube will be carried from N to B, and, in consequence, the
light will pass centrally through the tube. Hence the observer,
looking in at JV, will now see the star in the direction NA in-
stead of the true direction BA.

The velocity of light is very nearly 10,000 times that of the
earth in its orbit. Hence the length AB is about 10,000 times
the space NB through which the tube moves while the light is
passing through it. The corresponding angle NAB is called
the constant of aberration. Its amount is about 20.5".

There are many every-day phenomena depending on the
same principle that the aberration of light does. If a steamer
while in motion has a side wind blowing against her, the wind
will seem to the passengers to blow from a point nearer the
direction in which the ship is going than the one from which
it really blows.

If one drives rapidly through a shower of rain falling
straight down, and watches the direction of the motion of the
drops, they will be seen falling obliquely as if carried back-
ward by a wind.

CHAPTER V
GRAVITATION

1. Force. — The motions of the heavenly bodies seem so
different from the motions we are accustomed to see on the
earth, that for many generations it was supposed that they
could not be explained by the same laws. We have now to
see how it is that the planets revolve around the sun accord-
ing to the same laws which govern the motion of a ball thrown
into the air. To do this, we must learn the meaning of certain
words.

The substance of anything we can see or feel is called
matter.

Anything made up of matter, and considered as a thing by
itself, is called a body. For example, a ball is a body; the
rubber, leather, and yarn of which it is made are matter.

That which makes a body move or stop moving is called
force.

For example, if you throw a ball, your hand exerts a force
on the ball ; it is that force which sets the ball in motion. As
the ball flies through the air, the air exerts a force against it ;
this force makes it go slower than it otherwise would go.
When the ball strikes the ground, the ground exerts a force
against it ; this force soon stops it.

Friction is a force exerted by one body upon another that
rubs against it. If you try to draw a sled on ice, you can pull
it along very easily. But if you try to draw the same sled
with the same load on a smooth pavement, you will have to
pull harder, and on a rough pavement yet harder. This is

GRAVITATION 81

because the pavement exerts a greater friction against the
runners of the sled than the ice does.

Gravity is the force by which all bodies on the earth tend to
fall toward the center of the earth. This force is familiar to
all of us from infancy. Every child that falls down and every
stone that lies on the ground do so because of this force. If
it did not exist, we could not keep ourselves or any loose object
from slowly flying away from the earth except by fastening it
down.

2. The Laws of Motion. — By long study and experiment men
have learned that there are certain laws according to which all
bodies move. These are called Newton's laws of motion. The
first of these laws is this : —

Every body in motion, and not acted upon by any force, will move
forward in a straight line with unchanging velocity forever.

It took men a long time to find out this law, because no
unsupported body on the surface of the earth ever moves in a
straight line, or continues moving forever. The reason is that
all moving bodies around us are acted on by forces, in spite of
all we can do to prevent their action.

One of these forces is that of gravity, which will always
bring a body down to the earth if it is not supported. Another
is friction. If a body is thrown through the air, the friction
and resistance of the air are forces tending to stop it.

The less the friction, the farther a body will move. On a
railway the friction is slight, so that a train will run some
distance even if the locomotive leaves it. If there were no
friction or resistance at all, it would run to the end of the road
all by itself.

When a body is not held in any way, it is said to be free to
move. No bodies on the surface of the earth are perfectly free
to move unless they are thrown into the air, because, when
they rest on the ground, there is always friction which hinders
their motion. There is a little friction even if they float in
NEWCOMB'S ASTRON. — 6

82 ASTRONOMY

water \ and this friction will increase when the body is set in
motion. But the heavenly bodies, not resting on or touching

anything, are perfectly free to move.
The second law of motion is this ; —

When a force acts on a body free to move, it takes tune for the
force to produce a change in the motion of the body, and the greater
the force, and the greater time during which it acts on the body, the
greater the change of motion of the body.

Every one must have noticed this when a train is starting
from a station. When the engine first pulls, the motion is so
slow that we hardly notice it. In a few seconds the train is
going faster, and in a few seconds more, yet faster, the engine
pulling its utmost all the time. A minute or more may be
required before the strongest pull of the engine will get the
train up to full speed. Then as people sometimes learn to
their sorrow, it takes time for any force to stop the train.
The engineer may apply his brakes with all their force, and
yet the train move a quarter of a mile before stopping.

This property of matter by which time is required for a
force to set it in motion, and again time is required for the
force to stop it, is called inertia.

The third law of motion is this : —

Whenever one body exerts a force on another, the latter exerts an
equal and opposite force on it.

Slap a wall with your hand, and you will find that the wall
slaps your hand as sharply as your hand does the wall. When
the wheels of an engine begin to turn, all the steam does is to
make the wheels exert a force on the track. In doing this,
the track exerts an equal force on the wheels, and this makes
the engine move forward. When men floating on a raft in a
shallow river push the bottom with their poles, the bottom
pushes the pole, the pole the men, and the men the raft. This
opposite force is called reaction, and the original force is called
the action. Thus action and reaction are always equal, and in
opposite directions.

GRAVITATION 83

3. Universal Gravitation. — Everything we see about us

tends to fall downward toward the center of the earth. This
is because the matter of the earth attracts everything on it
toward the center This attraction, or the tendency of things
to fall downward, is called gravitation, and has always been
known to men. What was not known till modern times is
that all the heavenly bodies, sun, planets, and stars, also attract
other bodies toward their centers. The general fact of this
attraction is called universal gravitation.

When it was well understood that the planets revolved
around the sun, it was still difficult for men to understand the
laws according to which they moved. It was evident that
there must be some cause connecting their motions with the
sun. But when the laws of motion were not known, it was
impossible to say exactly what that cause was. Between the
years 1600 and 1680, it began to be suspected that there was
some attraction between the sun and the planets. Sir Isaac
Newton about the year 1680 was the first to prove this, and to
lay down the laws of motion with such clearness and exact-
ness that no doubt could remain on the subject. The law of
universal gravitation, called Newton's law, is this : —

Every particle of matter in the universe attracts every other par-
ticle with a force which varies directly as the masses of the particles
and inversely as the square of their distance from each other.

This is also called the law of the inverse square. It may be
understood in this way : Twice as far away, the attraction is
one fourth as much, 4 being the square of 2 ; three times as
far away, one ninth as much, 9 being the square of 3 ; and so
on. The distance of the moon is about 60 times the radius of
earth ; the square of 60 is 3600. Therefore, anything at the
distance of the moon will be attracted toward the earth's
center about -^Vff part as much as it would at the earth's
surface.

It follows that the higher up we carry any body, the lighter
it is. It is true that even in a balloon, the change of weight is

84 ASTRONOMY

not sensible to ordinary observation. But at the international
office of weights and measures, near Paris, weighing has been
brought to such perfection that, when one weight is laid on top
of another in the scale pan, the combined weight of the two is
found to be less than when they are laid side by side. The
reason is that the upper weight is farther from the center of
the earth when on top of the other than when lying along-
side of it, and therefore is lighter.

The third law of motion applies to gravitation. Whenever
one body attracts another, the other attracts it equally in
return. A stone attracts the earth as much as the earth does
the stone. A planet attracts the sun as much as the sun does
the planet.

4. Weight and Mass. — The weight of a body is the force
with which it is attracted by the earth.

The mass of a body is the quantity of matter which it
contains.

The mass of a body is measured by its inertia, or by the
force required to give it a certain motion in a certain time.

In ordinary life, mass and weight, at any place, are always
in the same proportion to each other, so that we need not make
any distinction between them. But in astronomy, where
we have to consider bodies in the heavens, the case is very
different.

Suppose we found the weight of a ham here on the earth, as
determined by a spring balance, to be 24 pounds. Suppose we
could then fly up to the moon with the ham. The moon has
so much less matter than the earth that it attracts a body at
its surface with only about one sixth the force that .the earth
attracts the body at its surface. Therefore the ham on the
surface of the moon would weigh only 4 pounds in the bal-
ance. But there would be just as much ham there as there
was on the earth, as one would find out on trying to eat it.
Therefore the mass of the ham would be the same as before,
although the weight was so much less.

GRAVITATION 85

If instead of using a spring balance we used ordinary
weights, we should find the same weight on the moon as on the
earth, because the weights would be lighter in the same pro-
portion as the ham. is. Therefore, to get the real weight, we
suppose a spring balance to be used.

If a baseball club could fly to the moon and there play a
game, the distinction between mass and weight would be very
evident. The mass being the same as here, the pitcher would
not be able to throw the ball any faster than he can throw it
on the earth. The catcher would find the ball striking as heavy
a blow in his hands as it does here, and the batsman could bat
it no faster than he does here.

As the ball would be drawn toward the moon by only one
sixth the force that the earth draws it, it would be found to
be as light as a rubber ball. It would stay long in the air
when batted, and home runs would be made all the time.

As the quantity of matter in a body is always the same,
while the weight varies according to the attraction of other
bodies, astronomers do not speak of the weight of heavenly
bodies, but only of their mass. All bodies having, the same
mass attract equally at the same distance. Hence the mass of
a body may be determined by the attraction between it and
another body at some fixed place. If we could cut a planet
into pieces small enough to be brought to the earth and
weighed, we could determine the mass of the planet by the
weight of the pieces. As we cannot do this, we determine the
mass by the attraction which it exerts on a satellite or on
some other planet.

5. How the Attraction of the Sun keeps the Planets in their
Orbits. — In consequence of universal gravitation all the heav-
enly bodies attract each other. The sun is so very large and
massive that it attracts the planets much more strongly than
they attract each other. We have now to see that the planets
move round the sun according to the same laws that govern
the motion of a ball thrown by the hand.

ASTRONOMY

Suppose the ball thrown in the line AB, figure 48. If there
were no gravitation, it would, in a certain time, say one second,
reach the point B, and in two seconds the point D. In conse-
quence of gravitation it describes a curve ACE, as every one
knows who watches the motion of a ball. The distance BC, or
the drop of the ball from its line of throw in one second, will
be 16 feet, no matter whether thrown slowly or rapidly. This
is the distance which a body dropped from the hand will fall in
one second. In two seconds the drop of the ball will be from
the point D to E. This is four times as far as the drop in one

F 10. 48. — Showing the curved path of a ball thrown in the air and falling
to the earth under the attraction of gravitation.

second, because the attraction of the earth is constantly acting
on the ball, and increasing its velocity, thus making it fall
farther every second than it did the second before. The law
is a drop of 3 x 16 feet during the second second, of 5 x 16 feet
during the third, etc. Adding up the falls in each second, we
see that the total drop will be 4 x 16 feet in 2 seconds, 9 x 16
feet in 3 seconds, and so on, as the square of the time.

A little study will make it plain that the faster the ball is
thrown, the less the bending or curvature of its path, because
it must go farther before it will get the same drop. Thus the
course of a bullet seems almost straight, while a ball thrown

GRAVITATION 87

by a little child describes a path much more curved than one

batted by a baseball player.

Imagine the earth to be a body thrown like a ball, and
attracted by the sun. To learn how it will move, we must note
that although the mass of the sun is 333,000 times that of the
earth, yet it is so far away that its attraction is only about
i6*50 that of the earth on things about us. Hence a ton weight,

Sun

FIG. 40. — Showing a small part of the earth's orbit round the sun. In
consequence of the sun's attraction, it is continually falling away from
the line of its motion, AB for example. Compare this figure with the
preceding one, and note that as a ball's path continually curves toward
the earth, so the earth's path continually curves toward the sun.

or 2240 pounds, is here on the earth attracted by the sun with
a force of little more than one pound.

To find how far a body like the earth would fall toward the
sun in one second, we must divide the distance, 16 feet, or 192
inches, by 1650. This is less than J- of an inch. Now in figure
49 let the arc be a piece of a circle around the sun. Draw the
line AB, touching the circle, and let the earth be thrown in
the direction of this line with such speed that the curvature

88 ASTRONOMY

of the path in consequence of the fall of the earth toward
the sun shall be equal to the curvature of the circle. Then,
notwithstanding that the earth has commenced to fall toward
the sun, when it reaches (7, it has kept in this circle and
is no nearer to the sun than it was at A, but is now going in
a slightly different direction. In the same way, when it has
described another arc, it has got no nearer the sun by its falling,
but has only kept in the circle. All that the sun has done by
its attraction is to keep the earth from flying off from it al-
together in a straight line. It keeps bending the path of the
earth from a straight line into the circle round the sun. Thus,
instead of either falling into the sun or going away altogether,
the earth revolves round arid round the sun forever.

The idea we have now to grasp is that the earth is not held
by anything, but is flying through space, turning on its axis
all the while, with us upon it, as a ball might fly through the
air with insects on it.

One who knows enough of geometry to be able to make the
necessary calculations will find that in order that the earth
may thus describe a circle round the sun, the speed with
which it is to be thrown must be about 18.6 miles per second.
That is, at the distance of 18.6 miles along the line AB the circle
round the sun will be \ of an inch from this line.

But the earth does not always go exactly with this speed.
We must, therefore, show what happens if the velocity should
be a little less than that we have supposed. In such a case,
the earth or other planet will fall a little nearer the sun until it
gets halfway round. But, in thus falling nearer the sun, it
will have acquired a greater velocity, and, in consequence of
this increase of velocity, it will, after going halfway round,
begin to recede from the sun until it gets back to the place it
started from. Thus it will go round and round the sun, de-
scribing an orbit a little nearer the sun on one side than it is
on the other. That is, the sun is not exactly in the center of
the orbit. In another chapter we shall see that the orbit is an
ellipse.

GEAVITATION

6. Centrifugal Force, — Let figure 50 represent a rapidly re-
volving wheel. To show the matter clearly, we suppose the
rim to be cut into eight pieces by the black lines, so that each
piece is fastened only by the spoke. Then at every instant,
in virtue of the first law of motion, the parts of the rim will
tend to fly off in straight lines in the direction in which they
are at the moment moving. This direction is shown by the
arrow heads.

But they are kept from thus fly-
ing off by the pull of the spokes
upon them. By virtue of the third
law of motion each part pulls on
the spoke with the same force that
the spoke palls on it.

This pull is called centrifugal
force because its direction is away
from the center on every side.

The swifter the motion, the
greater the centrifugal force. If
the speed is increased without limit, the force will become so
great as to break the spokes. Then, each piece of the rim will
fly away in the straight line in which it is at the moment
moving. A fly wheel regulating the motion of heavy machin-
ery is sometimes known to break from this cause, and the
pieces flying away through the roof of the building and the
air may cause great damage.

The rotation of the earth on its axis causes a slight centrif-
ugal force, which is overcome by gravity. One of its effects
is to make all bodies on the earth's surface a little less heavy
than they would be if the earth did not rotate.

Another effect is to make the earth and planets assume the
form of oblate spheroids, as we shall explain, for the earth, in
the next chapter.

FIG. 50. — Centrifugal force.

CHAPTER VI
THE EARTH

3. Figure and Magnitude of the Earth. — If the earth did not
rotate, the attraction of every particle of the matter composing
it upon every other particle would tend to bring it into the form
of a sphere. But the rotation of the earth on its axis gener-
ates a centrifugal force which partially counteracts the attrac-
tion of gravity at the equator, and thus makes the earth bulge
out at the equator, so as to take the form of an oblate spheroid.
In this form of spheroid the equator is a circle, and the axis
or diameter through the pole, called the polar axis, is shorter
than that through the equator.

The ratio in which the polar axis is less than the diameter
at the equator is called the ellipticity of the earth. Its amount
is about -^ ; perhaps a little greater. That is, if we repre-
sent the equatorial diameter by the number 300, the polar
diameter will be about 299.

The elevation of the mountains and continents, as well as
the depression of the ocean bottom, make the real figure of the
solid earth slightly irregular. In considering the general fig-
ure of the earth, geodesists conceive of it as if the earth had
been put into a turning lathe and all the mountains and conti-
nents planed off to the sea level. The figure thus formed by
the surface of ocean and planed-off land, is called the geoid.
The figure and size of this supposed body are taken as the
true figure and size of the earth, on which the continents
and mountains are regarded as excrescences.

That portion of the matter composing the earth which is
near its surface is called the earth's crust.

THE EARTH

The diameters of the geoid are : —

Equatorial diameter 7926.5 miles.

Polar diameter . . . . . . 7899.5 miles.

Thus the diameter of the earth is about 27 miles less through
the poles than through the equator.

The surface of the geoid thus denned is everywhere at right
angles to the line of gravity, which is fixed by the direction of
a plumb line. Looking at figure 51, we see that this line PB
does not point exactly at the center of the earth, except at the
equator E and the poles. The difference between the direction
of the plumb line PB and the line PC drawn to the earth's
center, that is, the angle BPC, is called the angle of the vertical.

Its greatest amount is nearly one-fifth of a degree.

2. Latitude and Longitude. — By the astronomical latitude of a
point on the earth's surface is meant the angle which the plumb
line at that point makes with the plane of the equator. In
figure 51 the latitude of the point P is the angle EBP. It is
so called because it is determined by astronomical observa-
tions.

Pole

Plane of Equator

FIG. 51. — Showing the difference between geographic
and geometric latitude.

The geographical latitude of a place is the same as its astro-
nomical latitude, except that certain small deviations in the
direction of the plumb line are allowed for.

92 ASTRONOMY

The geocentric latitude is the angle which the line from the
center of the earth to the place makes with the plane of the
equator. In figure 51, the geocentric latitude of the point P
is the angle ECP. These two latitudes differ by the angle of
the vertical.

The geocentric latitude of a place cannot be directly deter-
mined, because we cannot see the center of the earth nor deter-
mine its exact direction by observation. But we can always
determine the direction of the plumb line with suitable instru-
ments. Hence on maps and for ordinary purposes the astro-
nomical or geographic latitude is always made use of.

3. Length of a Degree. — When an observer stands on the equa-
tor, say at the point E, figure 52, the plane of his horizon is at

f>/ane of the Equator
FIG. 62.

right angles to the plane of the equator. If he travels north,
we say he has traveled one degree when his horizon has changed
its position by one degree on the celestial sphere. The further
north he goes, the slower his horizon will turn as he travels,
and consequently the further he must go in order that the
change may be one degree. Hence : —

The degrees of latitude are shortest at the equator, and continually
grow longer as we approach the poles.

THE EARTH 93

They are about 68.8 miles in length at the equator and 69.3
miles at the poles.

At the equator one degree of longitude is a little more than
69 miles. Owing to the convergence of the meridians toward
the poles, it continually shortens as we approach the poles,
where it becomes nothing, because all the meridians there
meet.

One sixtieth of a degree — that is, a minute of arc — on the
earth's surface is called a nautical mile} because it is the mile
used by sailors. The latter use it in preference to our land
mile, which we call a statute mile, because they determine their
positions by astronomical observation in degrees and minutes,
and they find it easy to take one minute of arc on the earth's
surface as a mile. This is nearly a mile and a sixth.

In ordinary cases navigators make no distinction between
the lengths of a degree of latitude at different distances from
the equator. But when we want to speak of the length of a
nautical mile with exactness, we commonly take it to mean a
minute of longitude at the equator.

4. How the Earth is Measured. — Owing to the obstructions
on the earth's surface, and the impossibility of fixing points
on the ocean, we cannot measure the distance round the earth
as we would measure that round a field by a tape line. The
determination of the magnitude and figure of the earth must
therefore be made by special methods, in which astronomical
observation and measurement of distances on the earth are
combined. The operation of measuring large portions of the
earth's surface with great exactness is called geodesy.

Geodesy requires two operations. One of these consists in
determining the exact distance between two points on the earth
in meters, yards, or miles. This is done by a process called
triangulation. The other operation consists in finding out by
astronomical observation what fraction of the distance round
the earth, or how many degrees on its surface, is included be-
tween two points whose distance is measured by triangulation.

ASTRONOMY

Triangulation. — The principle on which triangulation is
effected is this: The length of a line, AB, figure 53, is
measured as exactly as possible on some nearly level plane.

A line thus measured for geodetic purposes is called a base
line. The direction of the base line, or the angle which it

makes with the meridian, is deter-
mined by astronomical observation.

A distant high point P is then
chosen, on a hill or mountain, which
can be seen from both ends of the
base line. The angles PAB and
PBA are measured as exactly as pos-
sible with a theodolite. Then, by
trigonometry, the sides of the tri-
angle BP and AP can be exactly
computed. If there are other distant
points, like Q, which are visible from
the two ends of the base line, tri-
angles to them are determined in the
same way, and their distance from
each other computed.

Any of the sides AP, BP, AQ, BQ,
or PQ can then be used as a new
base line, and the positions of other
distant points like R determined by
sighting on them. By sights from
these points other yet more distant
points can be determined, and so on all the way across a con-
tinent if necessary. The more mountainous a region is, the
easier it is to make a triangulation, because longer sights from
one mountain top to another can be taken than on a plain.

Triangulation on a large scale is carried on by the United
States Coast and Geodetic Survey. The latter has made meas-
ures across the American continent from the Atlantic to the
Pacific Coast. Long networks of triangles have also been
measured in various parts of Europe, Asia, and Africa.

FIG. 53. — Example of a tri-
angulation.

THE EARTH 96

If the earth were a perfect sphere, the determination of its
magnitude by triangulation and astronomical observation com-
bined, would be a simple problem. Suppose we should meas-
ure a north and south arc 500 miles in length. By astronomical
observation we find the difference of latitude between its two
ends to be 7° 12'. Since 360° reach round the earth, we could
state the proportion : —

7° 12' : 500 :: 360° : circumference of earth.

This would give 25,000 miles as the circumference. We might
also get the length of one degree by dividing 500 by 7.2 ; then the
circumference, by multiplying the quotient by 360. Dividing
the circumference by 3.1416 would give us the earth's diameter.
This shows only the principle by which the problem is
solved. The actual work is a great deal more complicated and
occupies the time of many men, year after year. The compli-
cations arise not only from the ellipticity of the earth, but
from the fact that wherever we go, the direction of the plumb
line is slightly changed by the, attraction of hills, mountains,
and continents, and also by that of matter of different densities
under the earth's surface. Even when these irregularities are
allowed for, it is found that the figure of the geoid has many
irregularities which have not yet been well determined.

5. How Latitude and Longitude are Determined. — The second
operation of geodesy which we have described requires the
determination of the exact latitude and longitude of places on
the earth's surface. This determination is necessary, not only
for the purposes of geodesy, but in order that we may make
exact maps of counties and states, lay down on them the posi-
tion of cities, and find the distance from one point to another.
When once the size and figure of the earth are known, it is
simpler to find these positions and distances by astronomical
observation than it is to measure them by triangulation.

Latitude. — To determine the latitude of a place, the astron-
omer determines the exact point in the celestial sphere which

96 ASTRONOMY

corresponds to his zenith. He might do this in a rough way by
sighting upward on a plumb line, and noticing what stars
were near his zenith, but he could not get any exact result by
such a process as this. The principle of the method now com-
monly employed is this : —

Imagine a telescope pointed nearly at the zenith, and a spirit
level like that used by masons and architects, only much more
sensitive, to be attached to it. Fancy the telescope to be
fastened to a vertical axis which turns on a pivot at the bot-
tom. Adjust this axis so that as we turn the telescope round,
the level shall always read the same. Then we know that the
line of sight of this telescope will describe a circle on the
celestial sphere with the exact zenith in its center. The
astronomer finds a pair of stars at the north and south points
of this circle, of which he knows the declinations. Half the
sum of these declinations is the declination of the zenith.
This is equal to the latitude of the place, as will be seen by
§§11 and 12 of Chapter I.

Yet other methods may be u§ed. We have explained that
the latitude of a place is equal to the altitude of the pole
above the horizon. It is also equal to the angle between the
zenith of the place and the celestial equator. The astronom-
ical observer can determine these angles with great precision,
by specially constructed instruments, and can thus obtain his
latitude without knowing the declinations of any stars.

Longitude. — We have already shown that the difference
of longitude corresponds to the difference in the local time
at two places, 15° of longitude always corresponding to one
hour's difference of time. We may also define the differ-
ence of time as equal to the time which it takes noon to travel
from one place to the other. To show how these principles
are applied, suppose that an observer at New York telegraphs
to San Francisco the exact moment at which the sun crosses
his meridian. Then when the sun gets to San Francisco, an
observer there telegraphs to New York the moment the sun
is passing the meridian of San Francisco. The elapsed time

THE EARTH 97

between the two signals would be the time required by noon
to travel from one city to the other. Multiplying the hours,
minutes, and seconds by 15 would then give us the degrees,
minutes, and seconds of difference of longitude between the
two cities.

The same result is found by each observer telegraphing the
other at a given moment the exact sidereal time at his place. He
finds the time by noting the time of transit of stars over his me-
ridian with a transit instrument and sidereal clock. To make
the determination with the greatest exactness, the clock is so
arranged that its pendulum shall make a telegraphic signal
which is heard at the distant station as well as recorded at the
station where the clock is. Then the other observer sends a
signal back from his clock, so that there are really two records
of the same difference of time at the two stations. Of these
differences one will be a little too great and the other a little
too small in consequence of the time it takes electricity to
travel from one station to the other. The mean of the two
will be the correct difference of longitude in time.

A longitude thus determined is called a telegraphic longitude.
Difference of longitude between places can be determined by
skillful observers in this way with an error of only a few hun-
dredths of a second of time, or a few yards of distance on the
earth. If you should place two transit instruments three or
four hundred yards east or west of each other, skillful observers
would have no trouble in determining their distance apart
within a few yards, by astronomical observations on the stars,
combined with electric signals in the way described.

6. Density of the Earth, Gravity, etc. — By the density of
the earth is meant the average specific gravity of the material
composing it, or the average weight of a cubic foot of the
earth's matter compared with that of a cubic foot of water.
As the earth is composed of many different materials, the
specific gravity of various portions of it is very different.
What we want is the mean density of the whole earth.
NEWCOMB'S ASTRON. — 7

98 ASTRONOMY

We can find out what materials compose the interior of the
earth only by digging mines so as to get at them. But we
cannot dig to any great depth ; only in the rarest cases can
we go three or four thousand feet below the surface; hence
we know nothing of the materials that compose the great bulk
of the interior of the earth. But we can determine the mean
density of these materials by measuring the attraction of bodies
whose mass is known.

Attraction of a Sphere. — Imagine a sphere of lead a yard in
diameter. Since, by the law of gravitation, every particle of
matter attracts every other particle, it follows that this sphere
of lead must attract small bodies near it. The attraction is
indeed very minute ; it can be made sensible only by exceed-
ingly delicate instruments. But in recent times methods have
been contrived by which this very small force can be measured
with great exactness. We have to see how, from the attrac-
tion of the sphere of lead, we can determine the mean density
of the earth.

Fio. 54. — Attraction of two spheres of different sizes.

Consider two spheres of matter, A and B, figure 54, of the
same density, each attracting a particle P at its surface. Let
A be twice the diameter of B. It is found by mathematical
processes that each sphere attracts an external body as if the
whole matter of the sphere were concentrated in its center.

Sphere A being twice the diameter of B, has eight times its
mass. Attraction varying directly as the mass, it will exert
eight times the attraction of B at the same distance

THE EARTH 99

Attraction also varies inversely as the square of the dis-
tance, and P is twice as far from the center of A as from that
of B. Hence the same matter at the center of A will attract
P one fourth as much as if it were at the center of B.

There being eight times as much matter in A, its actual
attraction on P will be double that of B. That is : —

Spheres of equal density attract bodies at their surfaces with a
force which varies directly as their diameter.

Hence, if we find the attraction of a sphere of lead, and mul-
tiply it by the number of times the diameter of the earth
exceeds that of the sphere, we shall have the attraction of a
ball of lead the size of the earth. Comparing this with the
attraction of the earth, we shall have the ratio between the
density of the earth and that of lead. It is thus found
that : —

Mean density of the earth = 5£ times that of water.

This is much greater than the density of the materials com-
posing the earth's crust, and results from the enormous force
with which the interior of our globe is compressed by the
weight of the matter around it.

7. Condition of the Earth's Interior. — It is a very curious
fact that when a mine is sunk in the earth the temperature is
found to increase with the depth. The rate of increase is
different in different places, but is commonly not far from
1° Fahr. in 50 feet. At the depth of 3000 feet the temperature
would therefore, generally, be 60° above the mean at the sur-
face. This temperature is so high that miners cannot live and
work at the bottom of a deep mine except by having cool air
pumped down to them.

There is every reason to believe that the increase continues
to a great depth at the same rate, so that a few miles under-
ground the whole earth must be red-hot. At a still greater
depth, the temperature is probably sufficient to melt all the
materials of which the earth is composed. This fact, taken in

100 ASTRONOMY

connection with the phenomena of volcanoes, has led to the
view that the earth is really a mass of melted matter, with a
hard crust a few miles thick, on which we live. But it is
found that the earth does not yield to the attractive forces
of the sun and moon as it would if it were liquid. Hence, the
view now generally accepted is that the materials in the inte-
rior are kept solid by the enormous pressure to which the
whole interior of the earth is subjected by the mutual gravita-
tion of its parts. How great this pressure is can be con-
ceived when we reflect that every square foot a hundred miles
below the surface will be pressed by the weight of a column
of earth a foot square and a hundred miles high. This weight
would be not far from 40,000 tons. Such a pressure would
crush any substance at the earth's surface. The reason the
substance inside the earth is not crushed is that it is pressed
equally on all sides so that it is merely condensed into a
smaller space and made solid.

8. The Atmosphere. — The atmosphere is densest at the sur-
face of the earth, and grows rarer as we ascend in it. This is
due to the fact that every part of it is pressed by the weight
of the whole mass of air above it. At the height of three
miles the air becomes so rare that most people find a difficulty
in breathing at such a height, and the difficulty, of course,
increases with the height.

The temperature of the air continually diminishes as we
ascend. Even on a summer day it is generally freezing cold at
the height of a few miles. Hail is due to the freezing of rain-
drops in the cooler region of the air.

Air is not perfectly transparent, although it seems to be so
when we look through only short distances. We all know
that when we look at objects at a great distance they have a
blurred, hazy aspect, due to the imperfect transparency of the
air through which the light comes. The light from the
heavenly bodies, as it passes through the air, is diminished
before it reaches our eyes through part of it being absorbed

EARTH / ; /. - ; »•,•, ~, J.OJ;

by the air as it passes. The loss is smallest at the zenith, and
increases near the horizon, because the rays of light have to
pass through a greater distance in the air when the body from
which they come is near the horizon.

The blue rays are more absorbed than the red rays ; hence
a larger proportion of red light than of blue light reaches our
eyes from the heavenly bodies, and the latter look more or Jess
red when near the horizon. This is why the sun and moon
have a reddish tinge when rising or setting.

The air also reflects a small part of the light which passes
through it ; were it not for this, the sky would be as dark by
day as by night, and we should see the stars all day. There
would be no twilight, because darkness would come on as soon
as the sun had set. Twilight is caused by the reflection of the
sunlight from the upper part of the air after the sun has set
to us.

Twilight ends when the sun is about 18° below the hori/on.
This shows that the air reflects no sunlight at a height greater
than 45 miles. This is, therefore, commonly taken as the
limit of the earth's atmosphere. But the phenomena of shoot-
ing stars, of which we shall speak in a subsequent chapter,
show that there is really some kind of an atmosphere at a
height of nearly 100 miles. But we do not certainly know
what this atmosphere is.

9. The Zodiacal Light. — If we look at the western sky on a
clear evening of winter or spring just after the end of twilight,
we shall see a very faint, soft column of light extending along
the region of the ecliptic, and gradually fading away as we look
farther from the horizon. The same appearance may be seen
in the eastern horizon before daybreak, in the summer and
autumn. This appearance is called the zodiacal light, because
it extends along the region of the zodiac. In our latitudes we
cannot see it in the evenings of summer and autumn, because
then the ecliptic is too near the horizon, and the light is
absorbed by the thickness of the air through which it has to

ASTRONOMY

pass. Within the tropics it may be seen on every clear
evening.

There is something mysterious about the zodiacal light, but
it is probably caused by masses of very tenuous matter, like
fine particles of dust, which circulate around the sun in the
whole region inside the orbit of Mars. What we see is the

sunlight reflected
from these very
minute particles.

Connected with
the zodiacal light
is a phenomenon
called the Gegen-
achein, a German
word signifying
counter-glow. It is
an extremely faint
light in the zo-
diac, exactly op-
posite the direc-
tion of the sun. Its
faintness is such
that an ordinary
observer would
never notice it,
nor can it be seen
except under the
most favorable cir-

FIG. 55. — The zodiacal light as seen on a clear
spring evening.

cumstances. The sky must be very clear ; there must be no
moon visible ; the observer must be away from the lights of a
city ; the point where the phenomenon appears must not be in
or near the Milky Way. For the latter reason the Gegenschein
is not visible in June or July, nor in December or January.
Even under the most favorable circumstances, the observer
must have some practice in seeing a faint light in order to dis-
tinguish it. Its cause is still involved in mystery.

CHAPTER VII

THE SUN

1. Particulars about the Sun. — The sun is a globe whose
diameter is more than a hundred times the diameter of the
earth. Hence the distance round it is more than a hundred
times that round the earth. Because the volumes of globes
vary as the cubes of
their diameters, it fol-
lows that the volume
of the sun is more
than a million times
that of the earth.
More exactly, it is
1,297,000 times that
of the earth. You
understand, without
further explanation,
that the sun looks
small because of its
great distance of 93,-
000,000 of miles, a
distance which the
swiftest train would
not run in a hundred FlG- 56. — Showing how an image of the sun

may be thrown on a screen with a spyglass,
years.

The Sun's Density, Mass, and Gravity. — The density or spe-
cific gravity of the matter composing the sun is less than that
of the matter composing the earth. The mass of the sun is

103

104

ASTRONOMY

about 333,000 times the mass of the earth, instead of a million
times and more, as it would be if it had the same density.

In consequence of its great mass, the attraction of gravita-
tion at the surface of the sun is about 27 times the attraction
of the earth on bodies at its surface. A pound of matter on
the earth would weigh 27 pounds on the sun. Under an
attraction so great, a man of ordinary size would weigh two
or three tons, and would therefore be crushed to death by his
own weight.

The Photosphere. — When astronomers speak of the sun they
mean the whole body of the sun, inside as well as outside.
But we cannot see the inside of the sun ; we can see only its

' FIG. 57. — Mottling of the sun as photographed by Janssen.

surface. This visible surface is called the photosphere or light-
sphere, because it is the part of the sun which sends us light
and heat.

THE SUN 105

When we look at the sun with a good telescope, we see that
the photosphere presents a mottled appearance, like a plate of
rice soup. The grains which produce this mottling are hun-
dreds of miles in extent. They are probably caused by the
matter of the photosphere, as it cools off, continually falling
back into the still hotter interior of the sun, and its place
being taken by gaseous matter arising from inside, as we shall
next describe.

2. Heat of the Sun. — The sun shines in consequence of its
very high temperature, as iron shines when we make it red-
hot. But the temperature of the photosphere is much higher
than that of red-hot iron ; higher than the burning coal in the
hottest furnace. Possibly the temperature in the most power-
ful electric furnace is nearly equal to that of the photosphere.
The inside of the sun is far hotter than the photosphere, and
there is reason to believe that it gets hotter and hotter toward
the center.

This heat is so intense that, subjected to it, all substances
known to us would boil away like water over a fire and thus
be transformed into vapor. Hence it is believed that matter
cannot exist in a solid state in the sun. The vapor into which
the substances composing the sun are changed by the fervent
heat is so compressed by the enormous gravitation of the mass
of the matter around it that it is forced into something between
a gas and a liquid. The intense elastic force of this gaseous
matter causes portions of it to be continually thrown up to the
sun's surface, or to the region of the photosphere. There it
speedily gets colder by radiating heat into space, and portions
of it perhaps condense into solids, much as a red-hot crust will
form on the surface of a pot of melted iron taken out of a
furnace.

It would not be correct to say that the matter of the sun is
burning, because things are said to burn when they unite with
the oxygen of the air, thus producing light and heat. The sun
is so much hotter than an ordinary fire that its substance could

106 ASTRONOMY

not burn. In other words, it differs from an immense fire in
being so much hotter. If the earth should fall into the sun,
everything on its surface would be melted in an instant, as if
a small ball of wax fell into the hottest furnace.

All life on the surface of the earth is sustained by the heat
of the sun, which is radiated to us as heat from a fire in an
open fireplace is radiated to all parts of a room. If the sun
should cease to give us heat, the air and the whole surface of
the earth would slowly cool off. In a few days it would be
freezing cold, even at the equator. In a few weeks the whole
ocean would freeze over, and the soil would freeze to such a
depth as to kill every plant. Men and animals might be able
to keep alive for a while by artificial heat, but they would
soon starve in consequence of not having anything to eat.

3. Spots and Rotation of the Sun. — When the sun is viewed
through a telescope, dark looking spots are frequently seen on
his surface. These spots are not really dark, but would seem
of dazzling brightness against the sky if the rest of the sun
were not there. They look dark only in contrast to the intense
brightness of the photosphere.

The spots are of various sizes and shapes. Occasionally one
appears so large as to be visible to the naked eye. Commonly,
however, they can be seen only with the telescope. Sometimes
a number of small ones are clustered together, forming a group
of spots.

The spots are extremely irregular, as may be seen from the
figures which we give.

The central part of a spot is the darkest. It is called the
umbra, or nucleus. Around this nucleus is a border, inter-
mediate in brightness between the darkness of the spot and the
brilliancy of the photosphere. This border is called the
penumbra.

When a spot is carefully examined with a good telescope in
a steady atmosphere, it is found to be striated, looking much
like the bottom of a thatched roof, the separate straws bending

THE SUN 10?

toward the interior of the spot. This appearance is shown in
figures 59 and 60.

Astronomers are not agreed as to the nature or cause of
these spots on the sun, though they have been studied for
nearly three centuries.

FIG. 58. —The sun, with its spots and prominences, the latter being
shown by the spectroscope.

The Sun's Rotation. — When the spots are carefully watched
they are seen to change their position from day to day by
moving slowly across the photosphere from east toward west.
In this way it is found that the sun, like the earth, rotates
on an axis. The time of rotation is about 26 days. The
points where the sun's axis of rotation intersect its surface are
called the poles of the sun.

108

ASTRONOMY

A belt around the sun, 90° from each pole, is called the
sun's equator. It is found by watching the spots that they
make a revolution in a little less time when on the equator
than when at a distance from it.

FIG. 69. — A typical solar spot, after Langley, showing the forms which
such a spot often presents.

Periodicity of the Spots. — The spots are much more numer-
ous in some years than in others. In years when spots are
scarce, there will sometimes be none visible for several days,
and at other times only one or two will be seen. In years
when spots are numerous, quite a number of them, and some-
times very large ones, will be seen nearly all the time. It is
found by the records of the years when spots were numerous

TEE SUN 109

and when they were scarce, that there is a period of about
eleven years, during one half of which there are few spots,
while during the other half there are many.

FIG. 60. —A solar spot, after Secchi.

4. Corona and Prominences. — When the sun is totally
eclipsed by the moon, very curious and beautiful phenomena
are seen. One of these consist of red patches or cloudlike
forms around the body of the moon. These objects are called
prominences or protuberances, and are found to belong to the
sun. They cannot be seen with a telescope when there is no
eclipse, because of the intense light of the sun dazzling our
eyes. This is why we see them only when the light of the
sun is cut off by the moon. But with a spectroscope they are
visible on almost any clear day. This instrument shows that
they are composed of masses of gas, mostly hydrogen, which
are from time to time shot up from the photosphere.

Sometimes they have the form of immense flames blazing
up suddenly to a height of many thousand miles with a
velocity of more than 100 miles a second. In such flames

110 ASTRONOMY

everything on the surface of the earth would be destroyed
in an instant.

Another object surrounding the sun is a beautiful effulgence
called the sun's corona. It cannot be seen, even with a spec-
troscope, except during a total eclipse of the sun. It will,
therefore, be described in the chapter on eclipses.

5. Source and Period of the Sun's Heat. — The sun, as we have
already explained, is merely an extremely hot body radiating
heat to us, as a white-hot globe of iron would radiate heat if
hung in the middle of a room. One of the most interesting
and important questions in astronomy is why the sun does not
cool off and thus gradually cease to give us light and heat, as
the iron globe would do. If, as is generally supposed, the
earth and sun are many millions of years old, then the sun
must have been radiating heat during this immense period.
We must, therefore, account not only for the heat the sun now
gives us, but for the heat which it has radiated to the earth in
past ages. One explanation that has been proposed is that of
meteors. It is now believed that there are great numbers of
small bodies moving round the sun in its immediate neighbor-
hood, and it is quite likely that such bodies might, from time
to time, fall into the sun. Each body thus falling would gen-
erate heat. But this view is now generally given up, because
it seems hardly possible that meteors in sufficient number to
generate the sun's heat could be falling into the sun.

The view now commonly held is that the heat of the sun is
kept up by the constant contraction of its mass through the
gravitation of its particles toward the center. The theory of
energy teaches us that heat is produced when a body falls
toward a center without having its velocity increased. For
example, the temperature of the water of Niagara Falls must
be about one-quarter of a degree higher after it strikes the
bottom than it is before it goes over the falls. As the sun
cools off it must grow smaller, so that its outer portions fall
toward its center. In this falling so much heat is acquired

THE SUN 111

that, if the sun remains gaseous, it will continually grow hotter.
It may, therefore, continue to radiate the same amount of heat
every year, so long as it does not become a solid. .

If this view be correct, a time must come when the sun can
contract no more. Then a solid crust will form over its sur-
face, this crust will gradually cool off by the heat which it
radiates, and the sun will gradually grow dark and cold. But
the period necessary for this is many millions of years, so we
need not trouble ourselves about it.

A question of more immediate concern is whether the quan-
tity of heat which the sun gives us is subject to variations.
We know that at one time, probably not many thousand years
ago, the whole of New England and the northern states was
buried all the year round in snow and ice. The time when this
was the case is called the Glacial Epoch. It is possible that
during the glacial epoch the sun gave less heat than it does
now. If so, it may again give less heat at some future time.

There is, however, no evidence of any change in the tempera-
ture of the earth since the invention of the thermometer. The
meteorological observations made two or three hundred years
ago give about the same mean temperature that they do in our
time. But the earlier observations of this kind are, perhaps, not
very reliable, so that their evidence cannot be conclusive against
a very small change of one or two degrees. But the observa-
tions made at the Greenwich Observatory from 1840 to 1890
show that there was no" perceptible change during those fifty
years. This disproves a view which has sometimes been main-
tained, that the variations in the solar spots produce corre-
sponding variations in the temperature of the earth. It also
leads us to believe that there will be no change in the amount
of the sun's heat for many years to come.

CHAPTER VIII
THE MOON AND ECLIPSES

1. Distance, Size, and Aspect of the Moon. — The moon is a

globe like the earth. Tt looks flat to the eye because we can-
not see its roundness without a telescope. In a telescope we
can see it to be round like a globe.

Distance. — The moon is much nearer to us than any other
of the heavenly bodies. Its average distance is a little less

FIG. 61. — Showing the relative size of the earth and the moon. The
diameter of the moon is a little more than one fourth that of the
earth.

than 240,000 miles. The diameter of the earth being nearly
8000 miles, the distance of the moon is about 30 times the
diameter of the earth, and therefore 60 times its radius. A
railway train running 60 miles an hour would reach the moon
in five or six months. An idea of the relation between the

112

THE MOON AND ECLIPSES 113

distances of the sun and moon may be gained by remembering
that the sun is nearly 400 times as far as the moon.

Size and Density. — The diameter of the moon is about
2160 miles. This is a little more than -£ of the diameter
of the earth. In bulk it is about ^ that of the earth. But
the materials which compose it are not so dense as those of
the earth. They have about 3 or 4 times the density of water.
Thus the mass of the moon is about - that of the earth.

FIG. 62. — Showing the size and distance of the earth and moon nearly
in their true proportions. Their distance apart is about 30 diam-
eters of the earth and more than 110 that of the moon.

The Moon's Surface. — If we look carefully at the moon near
the time of first quarter we shall see little irregularities near the
left-hand edge of the bright surface. Through a telescope this
edge looks very jagged. This is because the surface of the
moon has mountains and valleys upon it. Sixty or seventy
of these mountains are more than a mile high, and a few are
four miles or upward. They are therefore nearly as high as
the highest mountains on the earth.

But the shape of the mountains on the moon is very differ-
ent from that of our mountains (see figures 63 and 64). Their
tops are frequently rounded like the rim of a saucer or shal-
low plate, the inside being hollow, and black like the bottom
of the plate. In the center of this flat region there is very
frequently a little sharp conical peak.

These appearances make it probable that long ages ago these
mountains were volcanoes. There is, in fact, a remarkable
resemblance between these lunar hollows and the craters of
volcanoes like Vesuvius. A hundred years ago it was thought
that there was a volcano in eruption on the moon ; but we
now know that this was a mistake. What was seen was only a
spot of unusual brightness.

NEWCOMB'S ASTRON. — 8

114

ASTRONOMY

Some parts of the moon are much darker than the general
surface. It is said that Galileo and others who first used a

FIG. 63. — The moon, photographed by Dr. Henry Draper.

telescope supposed these dark portions to be seas, because they
looked smoother than the others. Thus Milton, in allusion to

THE MOON AND ECLIPSES

116

Galileo, who was a native of Tuscany, says of Satan's shield

that it

"Hung on his shoulders like the moon -whose orb
Through optic glass the Tuscan artist views
At evening, from the top of resole*
Or in Valdarno, to descry new lands,
Rivers or mountains in her spotty globe."

FIG. 64. — Telescopic view of a region on the moon.

But when more powerful telescopes were made, these sup-
posed seas were found to have mountains and valleys like the
rest of the surface. The darkness was merely the result of a
difference of shade in the matter forming different parts of the
moon.

Absence of Air and Water. — It is now certain that the moon
has neither water nor air in any quantity sufficient for us to
detect its existence. Consequently there is no weather on the

116 ASTRONOMY

moon and, so far as we have yet discovered, nothing ever
happens there, except that the surface gets warm when the
sun shines on it and cold when it does not.

2. The Moon's Revolution. — We must think of the earth
and moon as two companions, revolving round the sun together,
while, at the same time, they revolve round each other. The
exact truth is that they both revolve round their common
center of gravity, while the earth goes round the sun in the
orbit we have described. Let E be the center of the earth,
M that of the moon, and C their common center of gravity.

FIG. 65. — As the moon moves from M to JV, the center of the earth
describes the small arc Ee in the opposite direction, both moving
round the common center of gravity at C.

Then EM will be the radius vector of the moon, which
means the line from the center of the earth to that of the
moon. We must now conceive that this radius vector turns
round on C as on a pivot, so that, while the moon is moving
from M to N, the earth moves from E to e. Thus the center
of the earth describes the small dotted circle, while at the
same time the moon describes the larger circle MN, of which
only an arc is shown in the diagram. This combined motion
arises from the fact that the moon attracts the earth as much
as the earth does the moon.

THE MOON AND ECLIPSES

117

Sun

The common center of gravity C is really inside the earth,
about one fourth of the way from its circumference to its
center. Its distance from the earth's center is therefore so
small that we commonly speak of the moon as revolving round
the earth, without reference to the motion of the earth itself
round C.

Sidereal and Synodic Revolution. — Let ABC be* an. arc of the
earth's orbit round the sun. Let us start with the earth at A,
and around it the
orbit of the moon,
with the moon at
My between the earth
and the sun. In this
position the moon is
said to be in conjunc-
tion with the sun.

While the earth
is moving from A
to By the moon
makes one revolu-
tion around it, and
reaches the point N
such that the line
BN is parallel to
the line AM. These
lines being parallel,
the moon has made
a complete revolu-
tion, and is seen in

- 66. — Showing the difference between the
sidereal and synodic periods of the moon.

the same real direc-

, ,, -,
tion at N as she was

at M. This revolution of the moon around, the earth is called
a sidereal revolution because, when it is completed, the moon
has returned to the same apparent point among the stars. It
takes place in about 27 d. 8 h.

Although the moon has actually made one revolution round

118 ASTRONOMY

the earth when it comes to N, yet she will not be in conjunction
with the sun at N, but will have to move through an arc NP to
catch up to where the sun appears to be. This takes it more
than two days more. Thus the time between the moon's con-
junctions with the sun is on the average 29 d. 13 h. This period
between two conjunctions with the sun is called a synodic revo-
lution.

3. The Moon's Phases and Rotation. — The moon is an opaque
body which shines only by reflecting the light of the sun. That
hemisphere which is toward the sun is always brightly illumi-
nated by the sun's rays ; the other is in darkness so that we
do not plainly see it.

When the moon is in conjunction with the sun, her dark
side is turned toward us, and we cannot see her at all. The
almanacs then call it new moon, though we cannot see the
moon.

Two or three days later she has moved away from the sun
so far that a small portion of her illuminated hemisphere is
visible. The form which she then shows, and with which we
are so familiar, is called a crescent, because the moon is then
increasing.

At this time, if we look carefully, we shall see the entire
round disk of the moon, the dark part having a very faint gray
illumination. This is caused by the light from the earth being
reflected upon the moon. The earth being several times larger
shines much more brightly upon the moon than the moon does
upon the earth. The appearance is familiarly called " the old
moon in the new moon's arms."

In three or four days more the moon has got to the posi-
tion of first quarter. One half the illuminated hemisphere is
now visible to us and her visible disk has the form of a semi-
circle.

During the next few days we see more and more of the
illuminated hemisphere, and the moon is said to be gibbous.

When the moon gets opposite the sun she presents the same

THE MOON AND ECLIPSES

119

face to the earth, and to the sun. We see her whole illumi-
nated hemisphere and call it full moon.

During the second half of the revolution the phases recur in
the reverse order, and a week after full moon she has got round
through another quarter of her journey. We then say that she
is in her third quarter. We can then again see one half the
illuminated hemisphere.

Direction of Sun>

FIG. 67. — The moon's phases.

In 7 or 8 days more she is again in conjunction with the sun
and we lose sight of her.

The age of the moon is the time elapsed since new moon.
When we first see her as a thin crescent after sunset, she is
commonly 2 or 3 days old. At first quarter she is 7 or 8 ;
at full moon about 15 ; at last quarter 22 days old.

The best time to see the moon through a telescope is not
when she is full, as people commonly suppose, but when she is
between 4 and 8 days old.

120 ASTRONOMY

Form of the Moon's Orbit. — We shall explain in another
chapter that the planets move round the sun in ellipses having
very nearly the form of a circle. If the earth and moon were
attracted by no body but the sun, they would move around
each other in ellipses, as the planets move round the sun. But
the sun attracts both, and thus prevents the orbit being an
exact ellipse, and also makes it change its form slightly, but
continually. The result is that the orbit is much like a mov-
ing ellipse. The point of this ellipse where the moon comes
nearest the earth is called the perigee ; tlHit where she is far-
thest is called the apogee.

The positions of the apogee and perigee are continually
changing, and they make a complete revolution round the
earth in about nine years.

The Moon's Effect on the Weather. — It used to be supposed
that the moon had some effect on the weather, and that changes
of weather were more likely to occur at new or full moon, or
at one of the quarters. It is now known that this is not the
case. The most careful observations show that the moon has
no effect at all on the weather.

Rotation of the Moon. — As the moon revolves around the
earth, she always presents nearly the same face toward us.
This shows that she turns on her axis in the same time that
she revolves around the earth. It should be noticed that if
the moon did not turn on her axis at all, then as she went
round the earth we should see her from various directions, and
so should get a view of all parts of her surface.

As she always turns the same face toward us, it follows that
we can never see the other side of the moon. But there are
small changes in the speed with which she performs her revolu-
tion round the earth, while her rotation on her axis is uniform.
Hence we can sometimes see a little farther on one side or the
other of her body. Such an appearance is called libration.
This word means a balancing, and is applied because, to our
eyes, the moon seems to have a slight swing back and forth on
her axis, as a balance has when the weights in the pans are equal.

THE MOON AND ECLIPSES 121

4 The Tides. — In consequence of its gravitation, the earth
attracts the moon and thus keeps her in her orbit. If it were
not for this attraction the moon would gradually leave the
earth altogether, as has already been explained. But, by the
third law of motion, the moon attracts the earth as well as
the earth the moon. Hence the earth is being continually
drawn toward the moon. But it can never move far in con-
sequence of this drawing, because of the constantly changing
direction in which the moon acts : at one time of the month
the attraction is in "one direction, and at the opposite time in
the other direction.

D
FIG. 68. — Showing how the moon causes the tides.

We have already said that gravitation is less the greater the
distance. Hence the portion of the earth near the moon is
attracted more strongly than the portion most distant from it.
The result is that the attraction of the moon tends to draw the
earth out into an ellipsoidal form. The earth itself, however,
being a solid body, cannot be stretched out by this increased
attraction. But the water of the ocean, being movable, is
stretched out a little. Thus a wave, very broad, but only a
few feet deep, is made in the ocean, and follows the moon
around every day. There is also a similar wave on the oppo-
site side of the earth. This is because at that point the water
is attracted less than the average of the solid earth, so that the
moon pulls the earth away from the water. Thus there are
two waves a day moving round the earth.

These waves are called tidal ivaves. The rise and fall of the
water of the ocean which they produce are called tidies. They

122 ASTRONOMY

strike our coast and make the water rise for 6 hours, until
the top of the wave reaches us. It is then called high tide.
During the next 6 hours the tide recedes. At its lowest it is
called low tide. Six hours later there is another high tide, and
so on. Thus there is a regular rise and fall of the water twice
every day, with which all who live on the seacoast are familiar.

In consequence of the continual motion of the moon on the
celestial sphere, from west toward east, she passes the meridian
on the average about 50 minutes later every day than she did
the day before. Hence, the tides arrive later every day by
this average amount.

The amount of the rise and fall is very different in different
regions. Out in the ocean it is generally less than on the
coast, commonly only 2 or 3 feet. As the tidal wave ap-
proaches a coast the resistance of the latter causes the water
to pile itself up against the coast, and thus rise to a height of
6, 10, or 20 feet, or, in rare cases, much more.

Owing to the islands and continents, the tidal wave is not
merely one wave going along uniformly, but sometimes there
are several waves in different parts of the same ocean. When
two of these waves happen to meet, they make one big wave.
If there happens to be a deep, wide-mouthed bay where they
meet, the water may rise to a very great height in consequence
of the force with which it enters the bay. This is the case in
the Bay of Fundy, on the coast of Nova Scotia and New
Brunswick. At the head of this bay the tides rise 70 or 80
feet. The effect is here most extraordinary. The Basin of
Minas is quite a large lake, at high tide being 12 miles across
and 40 miles long. But at low tide it is almost empty.

Spring and Neap Tides. — The attraction of the sun on the
earth produces a tide as well as that of the moon. But this
tide is smaller than that of the moon. At the times of new
and full moon, the sun and moon unite their attraction to pro-
duce tides. Consequently the tides are higher at those times
than at others. These are called spring tides.

At first and last quarter the sun and moon pull against each

THE MOON AND ECLIPSES 123

other on the tides. Thus the sun. diminishes the effect of the
inoon, and the tides are not so high. They are then called
neap tides.

Another effect of this combined action of the sun and moon
is that the actual intervals between the high tides on succes-
sive days sometimes vary considerably from the average inter-
val. Sometimes high or low tide occurs at nearly the same
time on two successive days. At other times the difference of
time may be more than an hour.

5. Eclipses of the Moon. — All opaque bodies cast shadows
when the sun shines on them. Hence the moon and the earth
cast shadows. Night is caused by our being in the shadow of
the earth when our hemisphere is turned away from the sun.

. 69.

Let S, figure 69, be the sun, E the earth, and M the moon.
Draw the lines ABH and CDH meeting at H, and touching
the sun and earth. You will then see that between these two
lines, in the region between the earth and H, the light of the
sun will be cut off. This region is that of the shadow of the
earth. The shadow has the shape of a cone, with its point at
H. This is called the shadow cone.

Outside the shadow is a region PP in which the light of the
sun is partly but not wholly cut off. An observer in this
region, if he could fly up to a great distance from the earth,
would see the latter hide a greater or less part of the sun,
according to his nearness to the surface of the shadow cone.

The region PP in which the sunlight is partly, but not
wholly, cut off, is called the penumbra.

124 ASTRONOMY

When the moon is entirely in the shadow of the earth, the
direct light of the sun can no longer reach her, so she looks
dark. We then say that there is an eclipse of the moon. That
is, an eclipse of the moon is caused by the moon passing through
the shadow of the earth.

It is very interesting to watch such an eclipse. As the moon
enters the shadow we see a small part of one edge of her disk
grow dark and finally disappear. The darkness spreads over
the disk little by little until it covers the whole surface of the
moon. During the first part of the eclipse we cannot see the
eclipsed portion of the moon because of the dazzling effect of

FIG. 70. — Refraction of the light of the sun into the earth's shadow.

the bright part. But when the bright part has nearly or quite
disappeared, we see the whole disk shining with a dim, reddish
light. This is because the light of the sun is refracted by the
earth's atmosphere as we have explained in Chapter IV, and
shown by the above figure. Hence the rays of the sun, which
pass very near the surface of the earth, are so refracted by the
air that they enter the shadow, and keep it from being perfectly
dark. To an observer on the moon, looking at the earth during
an eclipse, the sun would be entirely hidden by the earth, but
the latter would be surrounded by a thin ring of this refracted
light, of a reddish tint. This tint is due to the absorption of

THE MOON AND ECLIPSES 125

the blue rays by the atmosphere, and hence arises from the
same cause that makes the sun look red when on the horizon.

Sometimes only a part of the moon dips into the shadow.
The eclipse is then called a partial edipse of the moon.

When the moon is altogether immersed in the earth's shadow,
the eclipse is said to be total.

6. The Moon's Orbit and Nodes. — You may now ask why it

is that there is not an eclipse of the moon at every full moon,
because the moon is then always opposite the sun. The reason
is that the shadow of the earth is always in the ecliptic, while
the orbit of the moon around the earth is inclined to the plane
of the ecliptic, as shown in figure 71.

FIG. 71. — Showing the inclination of the moon's orbit to the plane of
the ecliptic. The latter is represented by the horizontal surface ; the
plane of the moon's orbit by the inclined circle. The latter inter-
sects the ecliptic at the points M and JV, which are called nodes. The
line joining the two nodes is called the line of nodes.

If we imagine ourselves standing on the earth at E, and
mapping out the moon's course among the stars, as we have
imagined the apparent course of the sun to be mapped out,
the two courses would not be the same, but would intersect
each other at two opposite points. When the moon was in the
half A of her orbit, she would appear north of the plane of the
ecliptic, and when in the half B, south of it.

There are two opposite points, M and Nt at which the orbit

126 ASTRONOMY

intersects the ecliptic. These points are called nodes. The
straight line joining the nodes passes through the center of
the earth, where also the plane of the moon's orbit intersects
that of the ecliptic. It is called the line of the nodes.

Figure 72 shows four positions of the earth's shadow, when
it happens to be near one of the moon's nodes. As the moon
moves along her orbit she crosses the ecliptic, and, if the
shadow happens to be near the same point, may enter it in
whole or in part, according to the distance from the node.

FIG. 72. — The dotted circles show different positions of the earth's
shadow near the moon's node. The shadow is always opposite the
sun ; but we cannot really see it. As the moon passes along it may
enter the shadow partially or entirely, then we see it more or less
eclipsed. The smaller circles represent the moon. In the two right
hand positions the moon is wholly immersed in the shadow ; in the
left hand position it does not enter the shadow at all.

The inclination of the moon's orbit to the ecliptic is about 5°.
This is ten times the apparent diameter of the moon.

7. Eclipses of the Sun. — An eclipse of the sun is a partial or
entire hiding of the sun through the intervention of the moon.

Of course the moon casts a shadow as the earth does. Figure
73 shows its form. We draw the lines SM and TN from the
edge of the sun, meeting in the point H. Here the shadow
ends in a sharp point. To an observer in the shadow the sun
will be completely hidden by the dark body of the moon. The
eclipse is then said to be total.

Now draw lines TM and SN9 touching the moon. Between
these lines and the shadow is the penumbra. An observer in
this region will see the sun partly hidden by the moon. This
phenomen is called a partial eclipse of the sun.

THE MOON AND ECLIPSES 127

The average distances of the sun and moon from the earth
are such that the point H of the shadow is generally very near
the surface of the earth. When the moon is near perigee the
shadow does not quite come to a point before reaching the
earth. There will then be a small region of the earth's surface

FIG. 73. — The moon's shadow and penumbra. This figure shows the
shape of the dark shadow of the moon. To an observer inside
the shadow the moon will entirely hide the sun. An observer in
the penumbra will see the sun partially covered by the moon. An
observer at the point of the shadow will see the moon exactly cover
the sun. Sometimes the surface of the earth is just at the point,
sometimes inside and sometimes outside, according to the varying
distance of the moon.

on which the eclipse will be total. As the moon moves in its
orbit the shadow sweeps along a path on the earth's surface.
This is called the path of total eclipse. An observer cannot
see the eclipse as total unless he places himself somewhere
along this path. In the astronomical ephemeris maps are given
showing the paths of all the total eclipses that occur. These
are of various breadths, but are generally less than a hun-
dred miles wide.

There can be no eclipse unless, at the time of new moon, the
sun is near one of the moon's nodes. If this is not the case
the moon will seem to pass above or below the sun. The
various kinds of eclipses of the sun can be best understood by
studying figure 74. The dark body of the moon is shown in
five positions, while it is passing the sun, as .it would appear

128 ASTRONOMY

if we could see it, which, however, we cannot do except as we
may see the sun eclipsed.

In position A, when the sun has not reached the node, the
moon passes a little below the sun. This causes a partial
eclipse, the appearance of which the figure shows.

In the position B, the centers of the sun and moon coincide
exactly at the moment of conjunction. The eclipse is then
said to be central. There are two kinds of central eclipses :
total and annular.

FIG. 74. — This figure shows how at new moon there may be a central,
total or annular eclipse of the sun, a partial eclipse, or no eclipse at
all, according to the distance of the sun from the moon's node. In
each figure the round white circle represents the sun and the black
circle the dark invisible body of the moon which may pass over it.
In the position B the sun is exactly at the moon's node, so that the
dark body of the moon passes centrally over the sun. At A the
moon passes a little below the sun and at C a little above it, cover-
ing the greater part. When the sun is still farther from the node,
as at Z), the moon covers only a small portion of it. When the sun
is still farther, as at E, the moon passes above it entirely so that
there is no eclipse. When the moon is off the sun, as at E, we can-
not see it in the heavens but we can imagine its position as shown
in the figure.

If the apparent diameter of the moon is greater than that of
the sun, as will be the case when the moon is near perigee,
the sun will be entirely hidden and the eclipse will be total.

If the apparent diameter of the moon is a little less than
that of the sun, which will be the case when the moon is near
apogee, the edge of the sun's disk will be seen all around the

THE MOON AND ECLIPSES 129

disk of the moon. The eclipse is then called annular, because
the edge of the sun is seen as a ring (annulus, a ring).

If the moon passes the sun in the position C or D, there
will be a large or a small partial eclipse, as the moon passes.

If the sun is far from the node, as at E, the moon will pass
clear of the sun and there will be no eclipse at all.

As the moon's shadow and penumbra pass over the earth,
the diameter of the penumbra is a little more than half that
of the earth. Hence the sun will never be eclipsed all over
the earth, but only in those parts over which the penumbra or
shadow sweeps. If an observer in one part of the earth saw
a central eclipse, like J3, an observer farther south would see
the moon pass north of the sun's center, as in (7, D, E, and there
would be a large partial eclipse, a small one, or no eclipse at
all, according to his position.

Of course every eclipse of the sun begins by being small
and partial, and gradually increases as the opaque body of
the moon advances. The various appearances of the eclipse
as it advances are called phases of the eclipse.

A total eclipse of the sun is a very impressive sight, espe-
cially if one observes it from a high elevation where he can
see many miles around. Owing to the direction of the moon's
motion in her orbit the shadow of the moon sweeps along the
earth in an easterly direction ; it may be due east, or it may
incline to the north or south in a greater or less degree.
During the partial phase of such an eclipse the observer will
see nothing very striking except the gradual covering up of
the sun's disk, reducing it to the form of a crescent. When
it is almost covered, if he looks in the direction from which
the shadow is coming, he will see the darkness approaching,
perhaps at the rate of nearly a mile a second. As the shadow
reaches him the sun entirely disappears. Looking up, he now
sees the black body of the moon with the sun's corona around
it. The latter is a most beautiful effulgence, like the glory
which the old painters depicted round the heads of their saints.
It is quite irregular in shape, parts of it extending out in

NEWCOMU'S ASTRON. 9

130 ASTRONOMY

streamers. It shades off so gradually that no distinct outline
can be seen. When viewed with a telescope the corona is
seen to have a somewhat woolly or fibrous structure, which is
also shown on the photographs.

Fio. ?6. — The solar corona during a total eclipse of the sun.

The light of the corona probably comes from very minute
vaporous particles shot up from the sun, and perhaps held up
by some form of magnetic or electric action. Part of the light
may also come from clouds of particles revolving round the sun.
The brightest stars will also be visible. It will not, however,
be entirely dark, but, as described by Milton, the sun

"... From behind the Moon
. . o disastrous twilight sheds. "

This is because the sun is shining through the air all around the
region of total eclipse, and the light reflected from without

THE MOON AND ECLIPSES 131

this region penetrates the whole shadow, and enables us to see
surrounding objects. The darkness is about that which we
have half an hour after sunset. The time by a watch can be
seen during the whole of the eclipse.

FJG. 76. — Another view of the solar corona.

8c Recurrence of Eclipses. — Since there are two opposite
nodes of the moon's orbit, and the sun makes an apparent cir-
cuit of the heavens in the course of a year, it follows that the
sun will appear to pass the moon's nodes twice in every year,
at an interval of about six months. Hence eclipses of the sun
or moon may occur at two opposite times of the year, about
six months apart. We may call these times eclipse seasons.

As an eclipse may occur at either node of the moon's orbit,
it frequently happens that, if there is an eclipse of the moon at
one node, then, when she makes half a revolution, which takes
about fifteen days, there will be an eclipse of the sun at the
opposite node, and vice versa.

If the position of the moon's nodes were invariable, the
eclipse seasons would always be the same, year after year.

132

ASTRONOMY

But the position of the node is continually changing, owing to
the attraction of the sun on the earth and moon. The manner
in which this change takes place will be seen by studying
figure 77. Here the small circles show ten different positions
of the moon as she is passing her node, the position of her
orbit being shown by the dotted line mm through the centers.

In the next to the last position she is exactly at the node, and
is therefore crossing the ecliptic. But when she makes a revo-
lution and gets back to the same position in the heavens, she
will not follow exactly the same path, but will follow along
the line nn. In another revolution she will pass along the
line oo, and so on continually. At the fifth revolution the
point of crossing or node will be nearly at the right hand end
of the figure. Hence the node is in motion from east toward
west. In this way each node makes a complete revolution in
the heavens in eighteen years and about seven months. The
result of this is that the eclipse seasons occur about twenty
days earlier every year than they did the year before, because
the sun in its apparent patli catches up to the node that much
sooner every year.

CHAPTER IX
THE CALENDAR

A calendar is a system of defining, arranging, and numbering
days, months, and years, so as to form a continuous measure of
time to be used by the people of a country. In former ages,
when people were not in so close communication as they are
now, each nation generally had its own calendar. But at the
present time nearly all civilized nations have adopted the one
used by us.

1. Units of Time. — The first and most natural unit of time
to be adopted by men is the day ; understanding by that term
the period between two successive passages of the sun over
the meridian, which, as we have already explained, is slightly
greater than the true time of one revolution of the earth on its
axis.1 The use of this unit of time was enforced upon men from
the beginning by the alternation of the activity of the day
with the repose of the night.

The next period of time to be noted was the year. The
cycle of the seasons, which the earliest men who noticed the
order of nature must have seen to be due to the varying declina-
tion of the sun, determines the year. One of the earliest works
of men who made astronomical observations was to determine
the exact times at which the sun reached the equinoxes in

1 It is an unfortunate defect of our language, as of most modern languages,
that the word day is used in two senses : (1) the period during which the sun
is above the horizon, in contradistinction to night when the sun is below the
horizon ; and (2) the length of a day and night together. The reader will, in
each case, see for himself in which sense the term is used.

133

184 ASTRONOMY

successive years. The number of days between two returns
to the same equinox defined the length of the year. Very
early in history it was thus discovered that the length of the
year was about 365 J days.

The Month and Easter. — So large a number as this was
inconvenient to keep count of. An intermediate unit was
therefore necessary. This was afforded by the changes of the
moon. At intervals, which our ancestors found to be about
thirty days, the moon completed the circuit of the heavens,
disappeared in the sun's rays, and again reappeared in the
west after sunset. The reappearing body was called the new
moon. The interval between two successive new moons is called
the lunar month.

In very ancient times, as we know from the Bible and other
writings, the moon was used to determine the times of certain
religious festivals. This practice survives with us in the
date of Easter, which is determined as follows : —

The first full moon after the 21st of March in every year is
called the Paschal full moon. Easter Sunday is the Sunday
which follows this full moon. If the latter occurs on Sunday,
Easter is the Sunday following.

The moon goes through its cycle of changes a little more
than twelve times in a year. Had it done so exactly twelve
times, there would have been no difficulty in using it as a
measure of months. This not being the case, it was impossible
to make a true year out of 12 lunar months. A year thus
measured was only 354£ days in length. Those who used it
found the seasons in the course of 30 years to wander through
every part of the year, which was inconvenient.

Another method was to fit the lunar months and years
together, a year having sometimes 12 months and sometimes
13. This also was inconvenient.

A third method, and the one which is now adopted by the
leading nations, is to reject the lunar months altogether, and
divide every year into 12 months, without any respect to the
moon.

THE CALENDAR 135

2. The Julian Calendar. — Two thousand years ago the Komans
were the leading nation of the world ; but their calendar was
in great confusion before the time of Julius Caesar, because
the emperors or other rulers fixed it from time to time to suit
themselves. Tp remedy this confusion Julius Caesar arranged
what is now known after him as the Julian Calendar. He (or
his learned men) saw that if we had in regular succession three
years of 365 days and then one year of 366 days, the average
length of the year would be 365J days, which was then sup-
posed to be the true length. So this plan was adopted and
was carried by the Komans into the various countries which
they conquered. Owing to its approach to correctness it was
continued after being once fully accepted. Thus it became the
calendar of civilized Europe.

3. The Gregorian Calendar. — In the sixteenth century it was
found that the period of 365J days was- a little more than the
true length of a year. The error was not very great ; it
amounted to only one day in about 130 years. Still, it had the
effect, in the course of centuries, of making the equinox fall at
a different time of the year from that at which it had been
arranged to fall by the festivals of the Church. In the six-
teenth century the error had amounted to ten days, it being
assumed that the correct arrangement was that made by the
Council of Nice, 325 A.D. To remedy this, Pope Gregory
XIII, in 1582, modified the Julian calendar by arranging that
the closing years of the centuries 1600, 1700, etc., should not be
leap years unless the number of the century was divisible by
four. That is to say, 1600, 2000, 2400, etc., were to be leap
years as in the Julian calendar, but 1700, 1800, 1900, 2100,
etc., were to be common years.

This is called the Gregorian Calendar, after the name of the
pope who established it. It is now in use by all Christian
nations except Russia and Greece. Even these are expected
to adopt it sometime.

In establishing the calendar Gregory added ten to the count

136 ASTRONOMY

of days, so as to make the years begin at the same time they
would have begun had his calendar been adopted by the
Council of Nice. To bring this about it was ordered that the
day which, in the Julian calendar, would have been October
5, 1582, should be called October 15, so that the 15th day of
that particular month followed the 4th day. This made a dif-
ference of 10 days between the Gregorian and Julian calendars,
which became 11 days on March 1, 1700, because in the Julian
calendar February of that year had 29 days, whereas it only
had 28 in the Gregorian calendar. In 1800 the difference
became 12 days, and from 1900 to 2100 it will be 13 days.

Thus, in our calendar, the rule for leap year is that every
year the last two figures of whose number is divisible by 4 is
a leap year, except the terminal years of a century ending in
00. These are leap years when, and only when, the number
of the century is divisible by 4.

4. The Year. — The reckoning by the Julian calendar is some-
times called Old Style, and that by the Gregorian New Style.
Besides the length and arrangement of the year, a calendar
must determine two things : at what time of the period of 365
or 366 days a new year shall begin ; and from what epoch the
years shall be counted. Even after the adoption of the Julian
and Gregorian calendars, there was some difference among
nations as to the beginning of the year. In England it com-
menced March 1 instead of January 1. The change to the
latter date was made in 1752, and is now universal.

In ancient times it was the custom to count years from the
accession of some monarch, or the foundation of the govern-
ment, or of its capital city. Thus the Komans counted their
years from the supposed foundation of the city of Kome. We
see a survival of this custom among us when, in official docu-
ments, the year of the Independence of the United States is
given. But for the purposes of civilized life, our practice of
counting the years from the birth of Christ has become coex-
tensive with the Julian and Gregorian calendars.

THE CALENDAR 137

& Features of the Church Calendar. — In our religious festi-
vals there still survive some remains of the ancient attempts
to arrange the measure of time by the moon. One^of these is
the Metonic Cycle, called after Me ton, a Greek who lived about
433 B.C. He found that a period or cycle of 6940 days could
be divided up into 235 lunar months, or 19 solar years.

In consequence of 19 years being nearly an exact number of
lunar months, Easter will commonly, though not universally,
fall upon the same day after a period of 19 years. Hence, if
we count the years from 1 to 19, and then begin over again,
the dates of Easter will be repeated in regular order. This
number, which ranges from 1 to 19, is called the Golden
number. It is said to owe its name to the enthusiasm of the
Greeks over Meton's discovery, who caused the division and
numbering of the years on the plan of Meton to be inscribed
on public monuments in letters of gold. The rule for finding
the golden number is to divide the number of the year by 19
and add 1 to the remainder. It is employed for finding the
time of Easter Sunday.

In our Church calendars a system is used for indicating the
day of the week on which any given date will fall. January 1
is marked by the letter A, January 2 by B, and so on to G,
when the letters begin over again, and are repeated through
the year in the same order. Thus each letter in any one
year indicates the same day of the week through the yea,r,
except in leap years, when February 29 and March 1 are
marked by the same letter, so that a change occurs at the
beginning of March. The letter corresponding to Sunday of
any year is called the Dominical, or fiunday letter for that
year. When we once know what letter it is, all the Sundays
of the year are indicated by it. In leap years there are
two dominical letters, one extending to the end of Febru-
ary, and the other through the remaining ten months of the
year.

We shall find by making the calculation that 28 Julian
years contain exactly 1461 weeks : It follows that at the end

138 ASTRONOMY

of 28 years the dominical letter will be repeated as before.
This period of 28 years is called the solar cyde.

Note that

28 x 366J = 10227 = 7 x 1461.

An exception, however, occurs when we pass over a centen-
nial year which is not a leap year, as in 1900. For example,
the dominical letter will not be the same in 1909 as it was in
1890, 19 years before. But the solar cycle will go on regularly
through the twentieth and twenty-first centuries, a break again
occurring in the year 2100.

6. The Hours. — In ancient times the period from sunrise to
sunset was divided into 12 hours, which were counted from 1
to 12. Thus men spoke of the first hour of the day, meaning
the first hour after sunrise, the second, etc., a system quite
familiar to readers of the Scriptures. The third hour was
that when the middle of the forenoon was approaching ; the
sixth hour terminated at noon ; the ninth hour terminated at
the middle of the afternoon, and the twelfth hour at sunset.
The night was also divided in the same way into 12 hours :
the first hour of the night, the second, etc., to the twelfth.

The day being longer in summer than in winter, the length
of the hours thus defined changed with the seasons, and the
night hours were shortest when the day hours were longest.
As people had no clocks or watches in those days, and no
exact instruments for measuring time were kept in the house,
this variability of the length of the hours did not cause any
serious inconvenience. If the hours had been of equal length,
this system of counting 12 hours of the day and then 12 hours
of the night would have been, in some respects, more conven-
ient than our own, because the count of hours would have
gone on continuously through the day, and again through the
night. But the practice of beginning a new day at sunset was
found to be inconvenient, because our activities always con-
tinue into the night ; and confusion would arise from passing
from one day to another at 6 o'clock in the evening.

CALENDAR 139

When the day was taken to begin at midnight, it was in
some places the practice to count the hours from 1 to 24.
Then during the forenoon the count of hours would have been
the same as that we use up to noon. But what we call 1
o'clock would have been 13 o'clock, and so on to 24 o'clock,
which would have occurred at midnight.

Probably men found it inconvenient to carry on a count of
hours greater than 12. In consequence the practice was intro-
duced of beginning the count of hours over again at noon, as
we do, and indicating which of the 12-hour periods was meant
by the words A.M. and P.M., abbreviations of the terms ante
meridiem and post meridiem. This beginning of a new count
of 12 hours at noon is frequently an inconvenience. Hence
efforts are being made in some quarters to induce people to
count the hours up to 24. On the Italian and some Canadian
railways this is done in the time-tables, and it would avoid
much trouble if it were done everywhere, and if we all counted
the hours up to 24 from one midnight to the next.

Astronomers count the hours from 0 to 24 on the system we
have just suggested, only their day begins at noon instead of
midnight. This is because they use the day solely as a meas-
ure of time, without regard to light or darkness, and it is just
as convenient to begin it at one moment as at another. Its
beginning being determined by the passage of the mean sun
across the meridian, it is more natural to count the hours from
that moment. Thus, in astronomical reckoning, mean noon is
0 hour. What we call 1 o'ctock P.M. is 1 hour, and so on to
midnight, which is 12 hours. Then 1 o'clock in the morning
is 13 hours, and so on to 11 o'clock A.M., which is 23 hours.

This mode of beginning the day and counting the hours is
called astronomical time, while the count on the ordinary plan
is called civil time.

CHAPTER X

GENERAL PLAN OF THE SOLAR SYSTEM.

1. Orbits of the Planets. — We explained in the second chap-
ter that the principal bodies of the solar system are the sun
and a number of planets revolving around it, on one of which
we dwell. We have now to learn some general facts about
the arrangement and motions of the planets.

FIG. 78. — Showing how an ellipse may be drawn.

The orbits of the planets, including that of the earth, are
not exact circles, but ellipses, which, however, differ so little
from circles that the eye could not see the deviation.

An ellipse may be described by attaching the ends of a string
to two fixed points, E and F, whose distance apart is less than
the length of the string. Then by passing a pencil around the

140

GENERAL PLAN OF THE SOLAR SYSTEM 141

string, keeping the latter tight, the point of the pencil will
describe an ellipse. Each of the points E and F, around which
the ellipse is described, is called a focus. The center C of the
ellipse is half way between the foci. The longest diameter,
ABj is called the major axis; the shortest, MN9 the minor
axis.

The distance FC or CE between the center and each focus
was formerly called the eccentricity of the ellipse. In modern
times we call the eccentricity the quotient of this distance
divided by the major axis. It is commonly expressed as a
decimal fraction.

2. Kepler's Laws. — The laws of motion of the planets
round the sun are called Kepler's laws, after the astronomer
Kepler who discovered them.

The radius vector of a planet is the line from the sun to the
planet. As the planet moves round the sun the radius vector
is conceived to turn round the sun with it, as on a pivot.

The mean distance of a planet from the sun is half the sum
of its greatest and least distances. It is equal to one half the
major axis of the orbit.

The periodic time of a planet is the time it takes to make a
revolution round the sun.

Kepler's laws are these : —

I. The orbit of each planet is an ellipse, having the sun in one
focus.

II. As the planet moves round the sun the radius vector sweeps
over equal areas in equal times.

III. The squares of the periodic times of the planets are propor-
tional to the cubes of their mean distances from the sun.

To understand the second law, suppose figure 79 to be the
orbit of a planet having the sun in the focus. Mark on the
orbit the points P, Q, R, etc., which the planet reaches at
equally distant intervals of time, — it may be intervals of a
day, a month, or a year. Draw the radii vectors from the sun

142 ASTRONOMY

to each point. Then the triangular areas PSQ, QSR, etc.,
described by the radius vector will all be equal to each other.

It follows from this law that the nearer the planet is to the
sun the faster it moves. We have already explained this by
showing that, as the planet falls toward the sun it gains veloc-
ity, and as it recedes from the sun it loses velocity.

FIG. 79. — Showing how the radius vector of a planet, as the latter
moves round the sun, sweeps over equal areas in equal times.

If we look at figures 78 and 79 we shall see that because the
sun is not in the center of an orbit, but in one focus, there are
in every orbit two opposite points at the ends of the major
axis, at one of which the planet is nearest the sun, and the
other farthest away.

The point of the orbit where the planet comes nearest the
sun is called the perihelion; the point where it is farthest
away is called the aphelion.

3. Structure of the Solar System. — The eight principal plan-
ets of the solar system are called major planets to distinguish
them from an immense group of smaller ones called minor planets.
All the planets, except the two nearest the sun, have one or
more moons or satellites revolving round them. Thus we have

GENERAL PLAN OF THE SOLAB SYSTEM 143

to consider, not merely planets revolving round the sun, but
systems each composed of a planet and its satellites, fashioned
somewhat after the solar system. As the sun is the center

SUN

FIG. 80. — Showing the relative size of the sun and the principal planets.

around which the planets revolve, so are some of the planets
centers round which satellites revolve. The satellites are
generally much smaller than their central planets. Our moon

144 ASTRONOMY

is a satellite of the earth, revolving round it in the manner
we have already explained.

A planet having a satellite moving round it is called a pri-
mary planet to distinguish it from the satellites, which are
also called secondary planets.

The time in which a planet completes its revolution round
the sun, or a satellite round its primary planet, is called its
periodic time, or its period.

In addition to the major planets and their satellites, there
is a curious group of bodies called minor planets or asteroids
occupying a region where we might suppose there ought to be
a single planet.

The following is a list of the principal bodies or groups of
bodies of the solar system, with the periods of revolution
of the planets round the sun : —

1. The Sun, the great central body.

2. The planet Mercury .... Period 88 days.

8. The planet Venus Period 225 days.

4. The planet Earth, with 1 satellite . . Period 1 yeaf.

6. The planet Mars, with 2 satellites . . . Period 2 years.

6. A group of several hundred minor planets,

or asteroids, periods mostly from . 3 to 6 years.

7. The planet Jupiter, with 6 satellites . Period 12 years.

8. The planet Saturn, with 8 satellites . Period 29 years.

9. The planet Uranus, with 4 satellites . Period 84 years.
10. The planet Neptune, with 1 satellite . Period 165 years.

The planets Mercury anjj. Venus, which revolve inside the
orbit of the earth, are called inferior planets.

Those whose orbits are outside that of the earth are called
superior planets.

4. Distances of the Planets; Bode's Law. — The distances of
the planets from the sun range from 36 million miles in the
case of Mercury, to 2775 million in the case of Neptune. The
distance of the earth is 93 million miles. But astronomers do
not use miles in celestial measurement, not only because they
are too short, but because distances in miles cannot be always

GENERAL PLAN OF THE SOLAR SYSTEM

145

known exactly and other units of measurement are more con-
venient. To express distances of the planets they take the
distance of the earth from the sun as the unit of measurement.
We may call this unit a sun-distance. Expressed in terms of
sun-distances, the distance of Mercury is 0.387, that of the
Earth 1, and that of Neptune 30.

Bode's Law. — About a hundred years ago it was found by the
astronomer Bode that the distances of the planets then known
could be found approximately in the following way : —

Form the row of numbers 0, 3, 6, 12, each one after the second
being found by multiplying the preceding one by 2. Then
add 4 to each number, and divide the sum by 10, thus : —

192

384

100

196

388

10 0.4

0.7

1.0

1.6

2.8

5.2

10.0

19.6

38.8

These numbers may now be compared with actual distances
of the planets from the sun, as follows : —

True
Dist.

Bode' s
Law

Error
of Law

Period
in Years

0.387

0.4

.013

0.2408

Venus . . . . • •

0.723

0.7

.023

06152

Earth

1.000

1.0

.000

1.000

Mars

1.524

1.6

.076

1 881

Blank

2.8

5.203

5.2

.003

11.86

9.539

10.0

.461

29.46

Uranus .

19.18

19.6

.42

83.74

Neptune .

30.04

38 8

8 76

164 78

Except for the planet Neptune, which was not known when
Bode lived, the numbers found by his rule hit very near the
truth, as we see by the errors given in the third column. The
most interesting feature of the table is that Bode had to fill a

NEWCOMB'S ASTRON. — 10

146 ASTRONOMY

wide gap between Mars and Jupiter, where Ms rule would
place a planet, but where, in his time, no planet was known to
exist. He therefore predicted that a planet might some time
be found in this gap. Not only one, but hundredsjvhave been
found since his time.

In 1846, when Neptune was discovered, it was seen that its
distance did not agree with the rule. This shows that what is
called Bode's law is not really a law of nature, but only an
accidental coincidence.

We have added the more exact periodic times to the above
table that the student may test Kepler's third law. Find the
cubes of the several distances and the squares of the periods
and compare the one with the other.

5. Aspects of the Planets. — In consequence of our being
carried around the sun upon the earth, the apparent motions
of the planets are different from their real motions. The
varying positions of the planets relative to each other and to
the sun are called aspects. To explain these various aspects,
and show their cause, certain terms are used which we shall
now define.

The elongation of a planet is its apparent angular distance
from the sun. The word is generally applied to the elongation
of Mercury or Venus. In figure 81 let the earth be in the
position shown, and let the circle represent the orbit of
Mercury or Venus around the sun. Let P be any position
of the planet in its orbit. Then the angle between the lines
ES drawn from the earth to the sun, and EP drawn from the
earth to the planet, is the elongation of the planet.

The elongation is greatest when the planet is at one of the
points M or N. At M it will appear east of the sun, and is
then said to be at its greatest east elongation. In this case it
will be visible after sunset.

When the planet is at N9 it is said to be at its greatest
west elongation. It may then be seen in the morning before
sunrise.

GENERAL PLAN OF THE SOLAR SYSTEM 147

When two heavenly bodies, in their courses around the celes-
tial sphere, pass by each other, they are said to be in conjunc-
tion.

When they are on opposite sides of the celestial sphere, so
that, for example, one would be rising while the other was
setting, they are said to be in opposition.

FIG. 81. — Showing the different directions in which an inferior planet
may be seen from the earth. The greatest elongation is the angle
between the lines so marked and the line drawn from the earth to
the sun.

The conjunction of a planet with the sun is called inferior,
when the planet passes between the sun and the earth. It is
called superior when the planet is beyond the sun.

It is evident that the superior planets can never be in inferior
conjunction with the sun because they can never pass between
the earth and the sun. The inferior planets Mercury and
Venus may be either in inferior or superior conjunction.

6. Apparent Motions of the Planets. — If we could view the
stars and planets from the sun, each star would always appear
fixed in the same place, and the planets would be seen always
moving forward in their orbits, completing their revolution in
the times we have mentioned. But when we consider the
apparent motions, as we see them from the earth, we find that

148 ASTRONOMY

they are affected not only by these real motions, but by an
apparent swing caused by our being carried around the sun
upon the earth.

After making a long slow sweep toward the east for several
months, or perhaps a year, the planet will gradually stop and
make a short sweep toward the west. Then it will gradually
stop, and again start on a long sweep eastward, and so on.

The sweep of a planet from west toward east is called
direct motion.

The sweep from east toward west is called retrograde motion.

Between the east and west sweeps the planet seems nearly
at rest, it is then said to be stationary.

Apparent Motion of a Superior Planet. — To show how the
motion of the earth causes an apparent retrograde motion of a
planet, let EF in figure 82 represent the orbit of the earth, and

FIG. 82. — Showing the different directions in which a superior planet
may be seen in consequence of the motion of the earth. As the
earth swings along from E toward F it moves faster than the planet
so that in the middle of the swing the planet appears to have a
motion in the opposite direction.

the arrows the direction of its motion around the sun. Sup-
pose a body to be at rest at the point P. Then, when the earth
is at E, the body will be seen on the celestial sphere in the direc-
tion ES. When the earth reaches the point F the body will

GENERAL PLAN OF THE SOLAR ^SYSTEM 149

be seen on the celestial sphere in the direction FR. That is to
say, while the earth has moved from E to F, the body, though
really at rest, has seemed to swing on the celestial sphere
through an arc equal to the angle EPF. This apparent motion,
being the opposite of that of the earth, will be retrograde.

But if P is not a fixed body, but a planet, it is really in mo-
tion in the same direction as the earth. If it moved as fast as
the earth, or faster, there would be no retrograde swing at all.
But a superior planet moves more slowly than the earth.
Hence there is some retrograde motion, though less than there
would be were the planet at rest.

As the earth is moving through the right hand arc of its
orbit, from F to J57, the direct motion of the planet as we see it
is increased by the effect of the earth's motion, so as to appear
greater than it really is. Hence the planet makes a long
direct swing.

We may, therefore, sum up the matter by saying that there
is a real direct motion of each superior planet around the
celestial sphere corresponding to its motion around the sun,
and that the apparent deviations from this real motion are
in the nature of swings due to the revolution of the earth on
which we live around the sun.

Apparent Motions of the Inferior Planets. — These planets have
direct and retrograde swings like the superior ones, but for rea-
sons a little different. If such a planet were alongside the sun,
the effect of the annual revolution of the earth would be that
the sun would seem to us to carry the planet with it in its
apparent annual motion round the celestial sphere. Hence,
the effect of the earth's motion is to make the inferior planets
complete an apparent revolution round the sphere in a year.

Because these planets revolve around the sun they seem to
us to swing first to one side of the sun and then to the other.
Hence they have apparent direct and retrograde motions, as in
the case of the superior planets. During the retrograde swing
the planet seems to pass the sun from east toward west ; during
the direct swing it passes from the west to the east of the sun.

150 ASTRONOMY

7. Perturbation of the Planets. — If a planet were attracted
by no other body than the sun, it is found that it would
move around the sun in an ellipse in exact accordance with
Kepler's laws. This ellipse would remain in the same position
forever.

But, according to the law of universal gravitation, each
planet is attracted, not only by the sun, but by all other planets.
In consequence of this attraction the motion of each planet
deviates from the fixed orbit that it would describe if the sun
alone attracted it. These deviations are called perturbations.

In consequence of the perturbations, each planet is some-
times a little ahead of the place it would otherwise occupy
and sometimes a little behind it; sometimes a little outside
the orbit and sometimes a little inside. The average orbit
which the planet describes is also subject to slow changes
which are called secular variations. This term is applied
because these variations continue through many ages. Thus
the eccentricity of the earth has been diminishing for many
thousand years and will continue to diminish for many thou-
sand years to come. In fact the eccentricities of the orbits of
all planets are changing in this way, some increasing and others
diminishing. The position of the perihelia of the earth and
all the planets is slowly changing. The most rapid changes
occur in the case of the moon. It is owing to the attraction
of the sun that the line of nodes makes a revolution in 18
years, and that the perigee moves round in 9 years.

Ever since the time of Newton many of the ablest mathe-
maticians in the world have investigated the laws according
to which these deviations in the motions of the planets take
place. The results they have reached form some of the most
remarkable triumphs of the human intellect.

One result is that, by means of tables of motions of the
planets, the astronomer can compute these motions for many
centuries past or future, with such exactness that if the com-
puted planet were placed along side the real one, the keenest
eye could not distinguish between the two.

CHAPTER XI
THE INNER GROUP OF PLANETS

IF we examine the list of the eight major planets in § 3 of
the preceding chapter we shall see that they may be divided
into two groups. One group comprises the four inner ones,
Mercury, Venus, the Earth, and Mars ; the other, the four outer
ones, Jupiter, Saturn, Uranus, and Neptune. The groups are
separated by the region of minor planets. The outer group is
distinguished by the great size as well as the great distance of
the planets that compose it. In this chapter we shall describe
the inner group, and that of the asteroids.

1. The Planet Mercury. — Mercury, the nearest planet to the
sun, is much the smallest of all the major planets. Its revo-
lution being completed in 88 days, it makes more than four
revolutions a year.

Synodic Revolution of Mercury. — Suppose that at a certain
time, the earth is at E, figure 83, and Mercury at M. The
latter is then in inferior conjunction. At the end of 88 days it
will have made a complete revolution and got back to the point
M. But it will not then be in inferior conjunction, because
the earth will have moved forward in its orbit. When it
catches up to the earth, so as to be again in inferior conjunc-
tion, it will be at N and the earth at F. The planet is then
said to have made a synodic revolution. The synodic period
of Mercury is 116 days, or a little less than 4 months.

When Mercury is near inferior conjunction, it is invisible in
consequence of the brightness of the sun's rays. A few days

152

ASTRONOMY

later it will have passed around so far as to be visible with a
telescope west of the sun. A month later it will be near its
greatest western elongation, and can then be seen with the
naked eye, in the east, before sunrise. In another month it
will be on the other side of the sun in superior conjunction,
and again invisible. A month later it will be visible in the
west, after sunset.

FIG. 83. — Showing the synodic period of Mercury.

Visibility of Mercury. — Near greatest elongation Mercury is
very plainly visible to the naked eye, as it is then brighter
than any of the fixed stars. If, looking in the west after sun-
set, you see a star near the horizon in the red glow of twilight,
you may suppose it very likely the planet Mercury. But, to
be sure, you must know the position of Venus and of the
brighter fixed stars. If the object can neither be Venus nor a
fixed star, it is Mercury.

Nodes and Transits of Mercury. — If the orbit of Mercury
were in the plane of the ecliptic, it would pass between the
the sun and the earth at every inferior conjunction. We should

THE INNER GROUP OF PLANETS 153

then see the planet as a small round spot on the sun's disk,
invisible to the naked eye, but easily observed with a
telescope.

But as a matter of fact, the orbit of the planet is inclined 7°
to the ecliptic ; hence, at nearly every inferior conjunction the
planet passes below the sun, or above it. Occasionally, how-
ever, Mercury really passes between the sun and the earth.
This phenomenon is called a transit of Mercury.

The plane of the orbit of Mercury, like that of the orbit of
the moon, intersects the plane of the ecliptic at two opposite
nodes. The node at which the planet passes north of the
ecliptic is called the ascending node, that at which it passes
to the south of it the descending node. It passes each node
once in every revolution.

The line through the sun from one node to the other is
called the line of nodes. This line intersects the orbit of the
earth at two opposite points, through one of which the earth
passes about May 8 of every year, and through the other about
November 10. Hence when Mercury happens to pass the
ascending node within two or three days of November 10, the
sun, planet, and earth will be nearly in a straight line, and we
see a transit of Mercury. The same things happen when it
chances to pass the descending node within two or three days
of May 8. The following table shows the dates of the trans-
its between 1890 and 1950.

1891, May 9 1924, May 7

1894, November 10 1927, November 10

1907, November 14 1940, November 11
1914, November 7

2. The Planet Venus. Aspects of Venus. — Venus is nearly the
size of the earth, its diameter being only about 300 miles less
than that of our globe. It performs a revolution in its orbit
around the sun in 225 days, or about seven months and a half.
As in the case of Mercury, it is sometimes in inferior conjunc-
tion with the sun, sometimes at western elongation ; then in

154 ASTRONOMY

superior conjunction and then in eastern elongation. The syn-
odic period is 1.6 years or about 1 y. 7 m. 3 d. This is the
interval between inferior conjunctions. Five times this period
is 8 years. Hence Venus has 5 synodic periods in 8 years.

At its greatest elongation Venus is about 45° from the sun.
It is then the most brilliant object in the heavens except the
sun and moon, sometimes casting a faint but visible shadow.
Hence there is no difficulty in recognizing it when it is near
either of its elongations. When at its greatest brilliancy, it
can be clearly seen by a good eye in the daytime, provided that
one knows exactly where to look for it.

Morning and Evening Star. — Near greatest eastern elongation,
Venus, being visible in the west after sunset, is known as the
evening star. The ancients then called it Hesperus. When
west of the sun, it is seen in the east before sunrise, and is
called the morning star. The ancients then called it Phos-
phorus. It is said that in the early ages people did not know
that Hesperus and Phosphorus were the same body. But
it required only careful comparison of observations to make it
plain that this was the case.

Phases of Venus. — To the naked eye Venus always appears
like a star, but with a telescope we find it to show phases
like the moon. Figure 84 shows these phases. In the posi-
tion Ay after it has passed inferior conjunction, most of its
dark hemisphere is turned toward us. But we see a small
portion of the illuminated hemisphere, which gives it the
apparent form of a crescent, like that of the moon when two
or three days old. A few days later it has reached B. Now
it is farther from the earth, so that it would look smaller, but
the crescent is growing broader because we can see a larger
portion of the illuminated hemisphere.

At C the planet will look like a half moon. In the follow-
ing positions it will look gibbous, or round, and will appear
smaller and smaller, until it reaches superior conjunction
The disk will then be small and round. Completing the revo-
lution, the same phases will recur in reverse order.

THE INNER GROUP OF PLANETS 155

Venus was one of the first objects at which Galileo pointed
his telescope. He was greatly delighted when he found it to
exhibit phases like those of the moon, because this showed
that the planet was an opaque body revolving round the sun.

FIG. 84. — Showing the different phases of Venus during its synodic
revolution.

Supposed Rotation of Venus. — When viewed with a good tel-
escope, in a very steady atmosphere, Venus has a burnished
look, something like that of polished silver shining by the
light of a fire. Its disk seems brighter in the central portion,
near the convex edge, than elsewhere. Some astronomers think
they see very faint markings, as shown in the frontispiece. It
is hence supposed by some that the planet rotates on its axis
in the same time that it revolves around the sun, and thus
always has the same hemisphere turned to the sun. Others
have supposed that it rotates on its axis in about 24 hours, or
in nearly the same time as the earth. It is still uncertain
whether either view is correct.

Transits of Venus. — The orbit of Venus is inclined to the
ecliptic about 3|°. The line of nodes of its orbit cuts the
earth's orbit at points through which the earth passes about
June 6 and December 6 of each year. If Venus happens to
pass the corresponding node within a day or two of either
of these dates, we shall see her passing over the sun's
disk. This phenomenon is called a Transit of Venus. Such

166 ASTRONOMY

transits are, however, among the rarest phenomena of astron-
omy. Two may occur with an interval of eight years between
them. Then more than a century will elapse before there
will be another. Not more than two ever occur in a century,
and the whole twentieth century will pass without any at all.
The following table shows the dates of all occurring between
the years 1600 and 2100 : —

INTERVAL

1631, December 7 8 years

1639, December 4 121 J years

1761, June 5 8 years

1769, June 3 105$ years

1874, December 9 ..... 8 years

1882, December 6 121$ years

2004, June 8 8 years

2012, June 6

These transits were formerly looked forward to with great
interest. They were supposed to afford the best means of
determining the distance of the sun, because of the consider-
able parallax of Venus at this time. Hence, at each of the last
four transits, expeditions were sent to various parts of the world
to make the most exact observations possible upon the times of
the transit or the apparent position of Venus on the sun's disk.
Such expeditions were sent out by the United States and other
nations in 1874 and 1882 to various points in Asia, Africa and
Australia. It is now found, however, that there are other
methods of determining the sun's distance, more exact than
this.

3. The Planet Mars. Aspects of Mars. — Mars is the fourth
planet in the order of distance from the sun, and the next out-
side the orbit of the earth. Its mean distance from the sun is
about 141 millions of miles. The eccentricity of its orbit is
such that at perihelion it is only 128 millions of miles from
the sun, while in aphelion it is 154 millions of miles. Hence,
if at its opposition to the sun it should happen to be in peri-
helion, it would only be 35 millions of miles f roin us, the earth

THE INNER GROUP OF PLANETS 157

being 93 millions and Mars 128 millions of miles from the sun.
This distance is greater than the least distance of Venus from
the earth. But when the latter planet is nearest to the earth,
its dark hemisphere is turned toward us, so we cannot get a
view of it. But when Mars is nearest to us, its bright hemi-
sphere is toward us, and therefore we can study it with our
telescopes.

Mars comes into opposition to the sun at intervals of 2
years and 1 or 2 months. At such times it rises near the time
of sunset, and may then be easily recognized by its reddish
light and great brilliancy. It is, indeed, not nearly so bright
as Venus, but it is brighter than any of the fixed stars. Owing
to its different distances from the sun, it is much brighter at
some oppositions than at others. When the opposition occurs
in the month of August or September, Mars will be at its
brightest; it will be faintest at the oppositions occurring in
February or March.

Surface of Mars. — When Mars is examined with a powerful
telescope, dark and bright regions are seen on his disk. It has
frequently been supposed that the bright regions are conti-
nents and the dark regions oceans. It was found by Schiapa-
relli that the supposed oceans are sometimes joined together by
dark streaks, which he, supposing them to be water, called chan-
nels. Schiaparelli was an Italian, and the Italian word canale,
which means channel as well as canal, has been translated canal.
This gave rise to the notion of canals in Mars, which we fre-
quently read about, but which have no real existence.

Ever since astronomers began to study the supposed conti-
nents and oceans on Mars, it has been thought that this planet
has a surface much like that of our earth. The resemblance
is made still more remarkable by the polar caps of Mars. To
understand these caps, we must know that the equator of Mars
is inclined to its orbit by a rather greater angle than the equa-
tor of our earth is inclined to the ecliptic. Hence, Mars has
seasons even more marked than the earth. During about one
iialf of its revolution its north pole is turned away from the

158 ASTRONOMY

sun. During this time it is found that a bright, white cap is
formed around the pole. When the sun begins to shine on the
pole this cap gradually melts away, or at least becomes much

FIG. 86. — Four drawings of Mars made by Barnard with the great Lick

Telescope.

smaller. The same thing takes place round the south pole of
the planet during the other half of the revolution. It is there-
fore supposed that these caps consist of snow or frost which

THE INNER GROUP OF PLANETS 159

falls or is deposited during the Martian winter, and melts
away again during the Martian summer.

The atmosphere of Mars is very rare ; indeed, it is not cer-
tain that this planet has any atmosphere at all that we can get
evidence of.

Rotation Mars revolves on its axis in 24 h. 37 m. Hence

its day is a little longer than ours is.

Supposed Inhabitants. — It is generally supposed that Mars
may be inhabited. This, however, is purely a supposition,
because we can, with our telescopes, get no evidence on one side
or the other of the question. The only reason we have to believe
in such inhabitants is the fact that our earth is inhabited.

The Satellites of Mars — These satellites were discovered by
Professor Hall in August, 1877. Previous to that time it was
supposed that Mars had no satellites. These bodies are the
smallest yet known in the solar system, and can be .seen only

FIG. 86. —Apparent orbits of the satellites of Mars in 1877.

with powerful telescopes, and under favorable conditions. The
inner one moves round its primary in a shorter time than any
other known satellite, making a revolution in 7 h. 38 m. This
is less than one third the day of Mars, consequently to aft
inhabitant of that planet Phobos rises in the west and sets in
the east. Its distance from the surface of the planet is only
about 4000 miles, and therefore a little more than half the
diameter of the earth. Our moon is about sixty times this
distance from the earth.

160 ASTRONOMY

4. The Minor Planets or Asteroids Four of these planets

were discovered during the early part of the nineteenth cen-
tury, between the years 1801 and 1807. Then no more were
found until 1845. In that year a fifth was discovered, soon
after a sixth, and then they began to be found in great num-
bers, sometimes 12 or more in a single year. The number
known is now approximating 500, and new ones are found so
frequently that we do not know what the total number may be.

In recent years discoveries of these bodies have mostly been
made by photography. To apply this method, photographs of
the sky, the plate being exposed for several hours, are taken.
The stars appear on the plates as points. But if a planet is
photographed it will appear as a little line in consequence of
its motion. In this way a new minor planet is found from
time to time.

These bodies are far smaller than the major planets. Their
size is not exactly known, but the largest are probably about
400 or 500 miles in diameter ; the smallest not more than 20.
The diameters of the smaller ones cannot be given with cer-
tainty, because they are so small that the planet appears only
as a point of light in the largest telescope.

The eccentricities of the orbits of the minor planets are
generally larger than those of other planets, and their orbits
are frequently more inclined to the ecliptic. They are there-
fore scattered widely through the region which they occupy.
Yet it is probable that if they were all combined into a single
planet, the mass of this planet would be smaller than that of
any major planet, even Mercury.

Olbers's Hypothesis. — When only four of these planets were
known, it was supposed that they were fragments of a large
planet which had, in some way, been broken to pieces. This
idea was first propounded by the astronomer Olbers, hence it
has since borne his name. But it is now found that this could
not have been the case, because the orbits cover too much
space, and have never intersected each other, as they would
have done had such a breaking up occurred.

THE IN NEE GROUP OF PLANETS 161

The Planet Eros. — The most remarkable of these planets is
one discovered in 1898, and called Eros. Its orbit, instead of
being wholly outside that of Mars, is partly outside and partly
inside. If it were not for the great inclination of the orbit of
Eros, it would intersect the orbit of Mars. But it is inclined
so much that it passes above the orbit of Mars at one point,
and below it at another. In fact, the two orbits are linked
together in such a way that, if each were made of wire, they
would pass through each other like two links of a chain.

Eros, at certain times, comes nearer the earth than any
other body of the solar system, the moon excepted. Hence,
observations upon it may enable its distance to be measured
with greater exactness than can be attained in the case of any
other planet.

NEWCOMB'S ASTRON. — 11

CHAPTER XII
THE FOUR OUTER PLANETS

1. The Planet Jupiter. — Jupiter is sometimes called the
giant planet. Not only is he the largest and most massive
of the planets, but his mass and size are greater than those of
all the other planets combined. His mean diameter is about
85,000 miles, and his volume is therefore 1300 times that of
our earth.

Jupiter rotates on his axis in the remarkably short
period of 9 h., 55 m. The centrifugal force generated by
this rapid rotation makes him assume a very oblate figure.
His equatorial diameter exceeds his polar diameter by 5000
miles. The ellipticity of his disk is therefore plainly visible
with a telescope.

A very remarkable feature of the material composing this
planet is that its specific gravity is scarcely one fourth that
of the earth, and only about one third greater than that of
water, hence, although 1300 times the volume of the earth, the
planet has only 313 times the mass of the earth.

Jupiter revolves around the sun in nearly 12 years. He
comes into opposition to the sun at intervals of about 13
months. When in opposition he rises at sunset and may be
well seen in the evening. In brightness he is, when seen by
the naked eye, between Sirius and Venus. He can be dis-
tinguished from Mars by his whiter light, which is very differ-
ent from the reddish light of Mars.

Surface of Jupiter. — The most remarkable features of the
surface of Jupiter consist of certain dark, cloudlike bands,
two of which, north and south of his equator, are especially

THE FOUR OUTER PLANETS

163

marked. These bands can be seen with a very small telescope,
and have been known for more than two centuries.

of Uranus

FIG. 87. — Orbits of the superior planets.

When examined with a powerful telescope it is seen that
not only these bands, but the entire surface of the planet, are
variegated with shadings, differing greatly in form and bril-
liancy. The bands especially consist of great numbers of

164 ASTRONOMY

stratified, cloudlike appearances. Sometimes small bright
spots are seen scattered here and there over the disk.

Generally the details on the surface of Jupiter change from
day to day, so that no permanent map of the planet can be
made. If an exact drawing of the planet is made on one
evening, it will be found, two or three evenings later, when
the same side is presented to us, that many changes have
taken place. Sometimes, however, spots are seen which
remain for weeks, months, or even years. Most remarkable

Fio. 88. — Telescopic view of Jupiter with the dark shadow of a satellite
crossing over its disk.

of these was a red spot which appeared south of the equator
in the year 1878 or 1879. It varied somewhat from time to
time, but continued without any material diminution for more
than ten years. Then it began to fade out in a varying and
uncertain way, being sometimes conspicuous and sometimes
seen with difficulty. Since 1892 it has been only occasionally
visible.

From the variability of the surface, we conclude that what
we see on Jupiter is not land, and probably not water. When

THE FOUR OUTER PLANETS 165

carefully examined, the edge of the disk is not sharply de-
nned, but appears much softened, the illumination there being
far less than it is at the surface. All this leads us to sur-
mise that what we see on the surface of Jupiter are great
banks of clouds floating in an atmosphere, and carried about
by strong winds blowing mostly in an east and west direction.
These clouds are so thick that we cannot see the body of the
planet through them. Hence it is not known whether this
body is solid or liquid. It is sometimes supposed to be like
the sun, an extremely hot mass, liquid or vaporous, com-
pressed by the weight of its outer portions.

2. The Satellites of Jupiter. — When we look at Jupiter
through a telescope, or even through a good spyglass, we shall
generally see three or four bright objects near him. These
are his satellites, which were discovered by Galileo, and be-
came at once objects of the greatest interest to astronomers.
Galileo saw that these objects revolved around Jupiter as the
moon revolves around the earth, and the planets around the
sun. At that time the doctrine that the earth and planets
revolved around the sun was not generally held. But Galileo
believed in it, and saw in the revolutions of the satellites an
additional strong proof, by analogy, of the revolution of the
planets. It is said that one astronomer thought the satellites
were illusions produced by the telescope itself. There is also
a story of a philosopher who refused to put his eye to the
telescope lest he should see the satellites, and be convinced.
He died shortly afterward. " I hope," said Galileo, " that he
saw them on his way to heaven."

It has sometimes been a question whether these bodies can-
not be seen without a telescope. It is certain that if Jupiter
were out of the way they would be visible to the naked eye.
It seems likely that, when two of them happened to be close
together, they have been seen as a single satellite, in spite of
the glare of Jupiter.

A fifth satellite, nearer to the planet than the other four,

166 ASTRONOMY

was discovered by Barnard at the Lick Observatory of Cali-
fornia in 1892. It is, so far as known, the faintest and most
difficult satellite to see in the solar system, being visible only
in the most powerful telescopes. Even with such a telescope
a well-trained eye is necessary. The four largest satellites
are probably about the size of our moon, or a little larger.
They are so much fainter than the moon, not only on account
of their greater distance from us, but because of their fainter
illumination by the sun, being five times farther away from
the latter than we are.

Eclipses and Transits of the Satellites. — It is evident that
a planet, being an opaque body illuminated by the sun, must
cast a shadow, as our earth does. Whenever a satellite enters
this shadow it undergoes an eclipse like one of our moon. In
the case of Jupiter's satellites these eclipses can be easily
observed. The inclination of their orbits to that of the planet
is so small, and the planet itself is so large, that all the
satellites except the outer one pass through the shadow of the
planet at every revolution. Accordingly, if we view one of
these bodies when it is going to pass behind the planet, we
shall often see that, before it reaches the planet, it fades out
and disappears from view. This is because it is entering the
shadow. At other times it can be seen coming into view as
it emerges from the shadow.

These eclipses are interesting subjects of observation, as
they can be seen with quite a small telescope. Their times
are predicted in astronomical ephemerides, so that any observer
with such a publication can observe these eclipses very fre-
quently if the planet is not too near the sun.

Frequently, also, the satellites pass between us and the
planet Jupiter. This is a phenomenon which it is very inter-
esting to watch. When the satellite first enters upon the disk,
it commonly appears bright on the darker background of the
planet ; but, as it approaches the center of the disk, it frequently
looks darker than the disk. This is because the center of the
disk of Jupiter is brighter than the edge.

THE FOUR OUTER PLANETS 167

When a satellite is thus passing across the disk, we can
frequently see its shadow traveling over the disk near it. This
is also a very interesting phenomenon to watch, but for this
purpose we need a good-sized telescope. (See fig. 88.)

3. The Planet Saturn. — Among the planets Saturn is next
to Jupiter in size, its mass being about one third that of the
giant planet. It revolves around the sun in 29J years. Al-
though smaller than Jupiter, it has about three times the mass
of the six smaller planets put together.

Saturn has many points of resemblance to Jupiter. These
are: —

1. Its rapid rotation on its axis. The time of rotation is
10 h. 14 m., less than 20 minutes greater than that of Jupiter.

2. Its small density, which is even less than that of water,
and, so far as we yet know, less than that of any other planet
or satellite.

3. The cloudlike aspect of its surface. But these cloud
forms are far less distinct than they are on Jupiter, and so can
be recognized only with difficulty.

4. The number of its satellites, it having eight or nine in all,
three or four more than Jupiter.

Saturn is redder in color than Jupiter and not so bright.
The star which it most resembles in appearance to the naked
eye is Arcturus.

4. The Rings of Saturn. — When seen with a large telescope,
Saturn is the most wonderful object in the solar system, owing
to the magnificent rings which surround it. The appearance
of these rings is shown in the picture of the planet. They are
perfectly flat, and so thin that, when seen edgeways, they
nearly or quite disappear, even in powerful telescopes.

They appear to be two in number, separated by a very nar-
row dark line, as shown in the figure. The outer ring, it will
be noticed, is much narrower than the inner one. Near the
two ends, which are called its ansce, a little dark shading is

168 ASTRONOMY

seen on it. It is not yet certain whether this shading indicates
a division of this ring into two others, or whether it arises
from this part of the ring being composed of darker matter
than the remainder.

The inner ring is brightest near its outer edge, and grows
darker toward the planet. Its inner portion is so dark as not
to be visible except in a pretty large telescope. When this
portion was first noticed, it was thought to be a separate ring,

FIG. 89. — Telescopic view of Saturn and its rings.

and was therefore called the crape ring or dusky ring. It is
now, however, found to be joined continuously to the rest of
the inner ring.

The rings are inclined to the plane of the planet's orbit by
about 28°. The direction of their plane remains nearly un-
changed as the planet revolves around the sun. Hence, in
some positions in the orbit, we see the rings considerably

THE FOUR OUTER PLANETS 169

inclined, as shown in the figure. As the planet moves around,
the rings appear to grow narrower, through the greater obliquity
at which we see them. At length they close down into a mere
line, and may quite disappear. As the planet goes on, we
see the other side of the rings and they gradually open out

FIG. 90. — Drawings of Saturn and its rings made by various astronomers
between 1610 and 1656, before they could see with their poor teles-
copes what the rings were.

again. The disappearance occurs at every half revolution, or
about once in fifteen years.

When these rings were first seen, they were a great puzzle
to the astronomical observers, who could not distinguish their

170 ASTRONOMY

true shape. To Galileo they seemed like two little handles to
the planet, because he could see only the parts which pro-
jected. After two or three years Saturn moved in such a
position that the rings were seen edgewise, then they disap-
peared entirely from Galileo's view. It is said that the philos-
opher was greatly perplexed by this, not knowing how a celes-
tial body could vary in this way, and feared that something
might be wrong in his observations. We give a figure (page
169), showing some of the drawings made by observers during
the years between 1610 to 1656. In 1656 the true form of the
object was made known by the celebrated Huyghens.

The question of the constitution of the rings was long a
difficult one because it was impossible to conceive how immense
solid bodies, as they were supposed to be, could be sustained
without falling on the planet. But it is now known that they
are not solid bodies at all, but only clouds of small particles,
or rings of dust or vapor. These little objects are thousands
and perhaps millions in number, each revolving in its own
orbit. They seem to us to form a continuous surface, owing to
their great number.

5. The Satellites of Saturn. — Saturn has eight satellites,
(perhaps nine) revolving around it, a larger number than any
other planet. The brightest of these was discovered by
Huyghens, in 1655. A few years later, Cassini, of Paris, dis-
covered a second one. As the telescope was improved, new
ones, nearer to the planet, were added. The nearest one of all,
which revolves near the outer edge of the ring, was discovered
by Sir William Herschel. The faintest and most difficult of
the eight to see, called Hyperion, was discovered by Bond, at
Cambridge, in 1848. A ninth satellite, more distant than any
of the others, was thought to be photographed by W. H.
Pickering at the Harvard Observatory, in 1899, but its peri-
odic time is not ascertained. The following table gives the
names of the satellites, their distances from the planet in radii
of the planet, their discoverer, and the date of discovery ; —

THE FOUR OUTER PLANETS

171

No.

Name

Distance
from Saturn

Periodic
Time

Discoverer and Date

Mimas

3.3

Od. 23 h.

Herschel in 1789

Enceladus

4.3

Id. 9h.

Herschel in 1789

Tethys

5.3

1 d. 21 h.

Cassini in 1684

Dione

6.8

2 d. 18 h.

Cassini in 1684

Rhea

9.5

4d. 12 h.

Cassini in 1672

Titan

20.7

16 d. 23 h.

Huyghens in 1655

Hyperion

26.8

21 d. 7 h.

Bond in 1848

Japetus

64.4

79 d. 22 h.

Cassini in 1671

There seem to be two gaps in the distances, one between
Rhea and Titan, the other between Hyperion and Japetus.
We might suppose that there are little satellites in these gaps,
but, if so, the most careful search with the most powerful
telescopes has failed to reveal them.

These objects are of very unequal brightness. The innermost
one, Mimas, and the seventh, Hyperion, can be seen only with
large telescopes. Enceladus is nearly as difficult as Mimas.
Titan can be seen with a very small telescope. The others
are intermediate in difficulty.

All these satellites, except the outer one, revolve in the plane
of the ring. Consequently when the edge of the ring is turned
toward the earth, the satellites seem to swing from one side of the
planet to the other in a straight line, running along the ring like
beads on a string. The planes of the orbits are kept together
by the attraction of the rings and satellites on each other.

Japetus, the outer satellite, has a remarkable peculiarity.
It is much brighter when seen west of the planet than when
seen east of it. The explanation of this is that the satellite,
like our moon, always presents the same face to the planet,
and that one hemisphere is much whiter in color than the other.
The result is that the white hemisphere is turned toward us
when it is on one side of the planet, and the dark one when it
is on the other side.

172 ASTRONOMY

6. Uranus and its Satellites. — The distance of Uranus from
the sun is about twice that of Saturn. When near opposition
it shines as a star of the sixth magnitude. It can therefore
be seen with the naked eye if one knows exactly where to look
for it.

In a small telescope this planet looks like a star. But when
a magnifying power of several hundred is used, it will be seen
to have a disk. It has a greenish tint, and the spectroscope
shows that it is surrounded by a very dense atmosphere. Its
time of rotation on its axis is unknown.

Uranus was discovered by Sir William Herschel in 1781.
He at first supposed it to be a comet. After a few weeks its
motion showed that this could not be the case, and its true
nature was then soon learned. Herschel proposed to call it
the Georgium Sidus, or the Georgian Star, after King George,
who had afforded him the means of making his discoveries.
This name was not used outside of England. Some astrono-
mers proposed to call the planet Herschel, after its discoverer,
but this name did not meet with favor either. The name
Uranus was then chosen and permanently adopted.

Satellites of Uranus. — A few years after the discovery of the
planet, Herschel found that it was accompanied by two
satellites. Afterward, he thought he found four others, mak-
ing six in all. It was therefore supposed for a long time that
Uranus had six satellites. But recent investigations with the
more powerful telescopes of our time have shown that the
four smaller supposed satellites did not belong to Uranus, but
were probably fixed stars which Herschel had from time to
time seen in the neighborhood of the planet. But two addi-
tional very faint satellites were discovered by Lassell quite
near the planet. The existence of these has been well authen-
ticated by recent observations. There is probably no great
difference in the actual brightness of the four satellites ; but it
requires a powerful telescope to see any of them, and those
nearer to the planet are harder to see than the two distant
ones, because of the glare of the planet.

THE FOUR OUTER PLANETS 173

These satellites have one remarkable peculiarity. The
orbits of the satellites of the earth, Mars, Jupiter, and Saturn
are but little inclined to the plane of the ecliptic ; but those of
Uranus are nearly perpendicular to this plane. That is to say,
the plane in which they revolve is not slightly inclined, like
the other planes we have described, but is tipped up at almost
a right angle. Consequently, when the planet is in certain
parts of its orbit, we see these orbits almost perpendicularly,
and can watch the satellites in their whole course around the
planet. As Uranus revolves in its orbit, the plane of the
orbits of the satellites retains its direction. Consequently,
twice in every revolution of Uranus this plane passes through
the position of the earth. The motions of the satellites then
seem to take place in a nearly north and south direction,
swinging on each side of the planet.

7. Neptune and its Satellite. — Neptune is, so far as we
know, the outermost planet of our system. Its discovery was
one of the most remarkable events in the history of astronomy,
illustrating the great exactness of astronomical theory and the
power of the human intellect in penetrating the mysteries of
the celestial motions. Its existence was predicted and its
direction from the earth made known before it had been recog-
nized by the human eye.

About forty years after the discovery of Uranus, tables for
calculating the motions of that planet were made by Bouvard
of Paris. Such tables enable us to calculate not only how the
planet would move in an elliptic orbit under the influence of
the sun's attraction, but also to what extent and in what direc-
tion it is drawn away from this elliptic orbit by the attractions
of the other planets. Soon after Bouvard's tables were pub-
lished, it was found that the planet did not move exactly in
accordance with them. The deviation was indeed very small,
even when at its greatest. How small it was, we may judge
by the fact that, if there had been two planets in the heavens,
the one in the position of the real Uranus, and the other in the
position where Bouvard's tables said the planet ought to be,

174 ASTRONOMY

the two would have seemed to the naked eye as a single star.
But in a telescope this small difference was very perceptible,
and the deviations were a source of surprise to observers.

About 1843 it occurred to several astronomers that these
deviations were probably due to the planet being drawn from
its place by the attraction of some unknown planet, probably
one whose orbit lay outside that of Uranus. Two mathema-
ticians, Leverrier in Paris and Adams in England, thereupon
undertook to calculate where this unknown planet should be
situated and how it should move in order that its attraction
might produce the observed motions of Uranus. The two men
agreed remarkably in their conclusions. The difference in the
directions which they assigned to the unknown planet was only
one or two degrees.

Leverrier knew that the astronomers of Berlin were engaged
in making maps of the stars in that part of the sky where the
planet should be. It occurred to him that it might be found
by the aid of such a map. He therefore wrote to Doctor Galle
in the autumn of 1846, asking him to examine the map and
compare it with the heavens. Pointing his telescope in the
required direction, Galle found an object which was not on his
map of the stars. But he could not tell certainly whether it
was a star until the following evening. Then he looked again
and found that the object had changed its position. This
showed that it was really a planet ; and it proved to be the
one which had been predicted. This result was of the great-
est interest, and most of the astronomers of the world who had
instruments at their disposal began to watch the course of the
newly discovered body.

Satellite of Neptune. — Mr. Lassell of England, soon after
the discovery of Neptune, noticed a very faint star near it.
After watching for a few evenings, this star proved to be a
satellite. It is the only one that Neptune is known to have.
Its orbit is inclined to the ecliptic about 30°. But its motion
has the remarkable peculiarity of being retrograde instead of
direct. That is to say, if we should look down upon the solar

THE FOUR OUTER PLANETS 175

system from a great height in a direction perpendicular to the
plane of the ecliptic, we should see all the planets and satel-
lites making their revolutions in the opposite direction from
that of the hands of a clock, the satellites of Uranus and Nep-
tune excepted. Those of Uranus, as I have just explained,
would appear to move nearly in the same plane in which we
were looking down on them, swinging back and forth on each
side of the planet, but that of Neptune would move in the
opposite direction from all the others.

The orbit of this satellite changes its position in such a way
as to show that the planet is spheroidal in form. It is there-
fore concluded that it has a rapid rotation about its axis. But
it is not possible to detect this rotation with a telescope,
owing to the great distance of the planet.

CHAPTER XIII
COMETS AND METEORS

1. Appearance of a Comet. — Comets are objects of unusual
aspect which, to the ordinary observer, sometimes seem to
hover in the heavens for a few weeks or months, and then
gradually disappear. Occasionally one of these objects is so
large and brilliant as to command universal attention. Smaller
ones, that would hardly be noticed unless the attention were
called to them, are more frequent. Smaller ones yet, that can-
not be seen except with a telescope, appear in such numbers
that a year seldom passes without several being observed.

Parts of a Comet. — A large comet consists of three parts,
the nucleus, the coma, and the tail. These parts are not com-
pletely distinct, as one merges gradually into the other.

The nucleus, to the naked eye, looks like a star. It would
not excite notice but for the coma and tail by which it is
accompanied.

The coma (Latin for hair) is a mass of cloudy or vaporous
appearance in which the nucleus is enveloped and which
shades off so gradually that we cannot say precisely where it
ends. It gives the nucleus the appearance of a star shining
through a little bunch of fog. The nucleus and coma together
are called the head of the comet.

The tail is a continuation of the coma, and consists of a
stream of foggy or milky light, growing broader and fainter as
it recedes from the head, until the eye can no longer trace it.

The direction of the tail is always away from the sun. Its
extent is very different in different comets. In some of the
largest it extends over a considerable arc of the heavens, while

176

COMETS AND METEORS 177

in others it is comparatively short. Its actual length is nearly
always many millions of miles.

Variety of Aspects of a Comet. — Comets that cannot be seen
by the naked eye are called telescopic comets. These objects
frequently have no tail, and occasionally the nucleus is so
faint as to be scarcely visible even in the telescope. In these
cases the comet looks like a minute patch of fog.

A periodic comet is one which is known to perform a regular
revolution round the sun, like a planet. These comets move
in much more eccentric orbits than planets.

Most of the periodic comets make their revolution in a few
years, between three years and fifteen. But there are also a
few comets having periods ranging from seventy years upward.
Only two or three of these have ever been seen at more than
one return.

2. Comets belong to the Solar System. — It is now known that
all comets may be considered as belonging to the solar system.
They are attracted by the sun as the planets are ; but instead
of moving in nearly circular orbits, like the planets, they drop
down, as it were, from an immense distance, generally from a
region far outside the orbit of Neptune. If one fell exactly
toward the sun, it would drop into it. But every comet
hitherto known has its motion directed a little one side of the
sun or the other. As it drops it goes faster and faster until,
when it gets very near the sun, it is moving with such rapidity
that the sun can no longer hold it. It whirls around and goes
off again, nearly in the direction from which it came. The
ellipse in which it is supposed to move is so elongated that we
cannot see the comet in any part of it except quite near
the sun.

Comets are entirely invisible except in that small part of
their orbit nearest to the earth and sun. As one is dropping
toward the sun, some keen-eyed astronomer, with a little tele-
scope, is almost sure to detect it if the earth is in a favorable
position for seeing it. He then announces, his discovery by
NEWCOMB'S ASTRON. — 12

178

ASTRONOMY

telegraph to his fellow astronomers in Europe and America,
telling exactly where it is to be seen. When first found it com-
monly looks like a mere patch of fog. Then as it gets nearer
and brighter the nucleus is seen, and if the comet is a big one, a
little tail begins to form. After the comet whirls around the
sun it again grows smaller and fainter, the nucleus gets dim,
the tail shortens, and when it is lost sight of in the telescope
it looks much as it did when it was first seen.

FIG. 91. — Showing two cometary orbits, the one an elongated ellipse,
the other extending out we know not how far. The arc ab shows the
portion of each orbit within which it is possible for us to see the
comet. These arcs are so near alike that it is often impossible to dis-
tinguish between them.

3. Orbits of Comets. — You may ask how it is that astrono-
mers know anything about the movement of a comet after
it disappears from their telescope. The answer is that they

COMETS AND METEORS 179

Calculate its orbit by the theory of gravitation. Its posi-
tion in the heavens is observed with the greatest exactness
from day to day, and thus it may be known how fast it is
moving at any particular point of its orbit where it is visible.
In this way it may be calculated how far it will go before the
attraction of the sun can stop it and bring it back again.
There is at each distance from the sun a certain velocity which
the comet might acquire if it fell from an infinite distance. If
the comet's velocity exceeds this the sun could never stop it, but
it would move away into infinite space, forever. This velocity
is less the farther the comet is from the sun. At the distance
of the earth's orbit the limiting velocity is about twenty-six
miles a second. If it should pass the earth's orbit with a
higher speed than this, we should know that it would never
return.

Commonly the velocity is so near this limit that it is impos-
sible, from the velocity alone, to be quite sure whether it will
return or not. But as there is no evidence of a comet ever
exceeding this velocity, it is believed that every comet belongs
to the solar system and will return some time. In the large
majority of cases, however, the return will not take place for
several thousand years.

How a Comet may have its Orbit Changed. — Very often a
comet, in falling toward the sun, or leaving it again, passes so
near some great planet, generally Jupiter, that the attraction
of the latter completely changes its orbit, by retarding the
comet so that the sun can hold it in a smaller orbit. Then the
comet will describe an ellipse around the sun with a period of
a few years. It is probable that several of the comets of short
period have had their orbits changed in this way by the action
of Jupiter.

Twenty or thirty periodic comets are known, and new ones
are made periodic from time to time, in the way just described.
The last case of the kind was that of a comet which appeared
in 1889, known as Brooks' s comet, after the astronomer by
whom it was first seen.. This body is still revolving in a

180 ASTRONOMY

period of about seven years. It returned in 1896 And will
return again about 1903, 1910 and so on.

When a comet has thus been made periodic by the attraction
of Jupiter, it is liable to meet that planet again at some future
time and to have its orbit again changed. Its period may be
shortened again, or lengthened, or the planet may give it a
swing that will send it off from the sun altogether, so that
we shall never again see it. This happened to a comet dis-
covered by Lexell in 1770.

4. Remarkable Comets. — In former times comets excited
great fear because they were supposed to portend pestilence,
war, the death of kings, or other calamitous events. Naturally
the more striking and brilliant the comet the greater the
terror thus excited. But when the astronomers found that
these bodies moved according to the law of gravitation, and had
no power of their own, these fears vanished.

Halley's Comet. — This comet is one of the most remarkable
in history ; not because it was very bright, but because it was
the first one found to be periodic. It was seen in 1682.
Halley, an eminent English mathematician, computed the
position of the orbit and found that it moved in nearly the
same orbit as a comet observed by Kepler in 1607. He there-
fore suggested that it might come back about every 75 or 76
years. Subtracting 76 years from 1607 brings us back to
1531. In this year a comet had actually been seen. Again
subtracting 75 years carries us back to 1456. It is known
from history that in that year a comet appeared which caused
such terror that the Pope ordered prayers to be offered for
protection against the Turks and the comet. It is supposed
that this gave rise to the popular myth of the Pope's bull
against the comet.

Halley now ventured the prediction that this object would
return again about 1758. During this time the mathematical
methods of calculating the motion of such a body were in-
vented. Clairaut, one of the first mathematicians of France,

COMETS AND METEORS

181

calculated the effect which would be produced by the attrac-
tions of Jupiter and Saturn, and found that the comet would
be so delayed that it would not reach its perihelion until
about April, 1759. It actually did pass its perihelion on
March 1, 1759, so that Clairaut was within a month of the
truth.

FIG. 92. — Orbit of Halley's comet crossing orbits of planets.

Seventy-six years more were to elapse, when the comet
would again be expected. During this time great improve-
ments were made in the methods of computing the attraction
of the planets on such a body. So successful were the astrono-
mers in this work that, long before the comet was seen, they
predicted that it would pass its perihelion early in November,
1835. It was seen three or four months before this time, and
actually did pass the perihelion only three or four days after
the time of the best prediction. The comet was followed
until May 17, 1836, when it disappeared from the sight of the
most powerful telescopes of the time and has not been seen
since. But the astronomer can follow it with the eye of
science almost as certainly as if he saw it in his telescope.

182 ASTRONOMY

It passed aphelion, outside the orbit of Neptune, about 1873,
and has been on its way back ever since. An exact calculation
of its return has not yet been made, but it is expected about
the year 1911.

The Great Comet of 1843. — This comet burst suddenly into
view in the neighborhood of the sun toward the end of Feb-
ruary, 1843. What was most remarkable was that it was
visible in full daylight, so that some observers actually
measured the angle between it and the sun. It was watched
until the middle of April, when it disappeared. It passed
nearer the sun than any other body was ever known to pass, —
so near that with a very slight change of its original motion, it
would actually have struck the sun. So far as observations
show, it will not return again for several hundred and perhaps
several thousand years.

FIG. 93. — Telescopic view of the head of Donati's comet.

Donati's Comet of 1858. — This comet was one of the most
magnificent on record. It was discovered by Donati, of
Florence, on June 2, 1858, and, when first seen, seemed to be
merely a cloudy patch of light. No tail was noticed until the

COMETS AND METEORS 183

middle of August, and, at the end of that month, the comet
itself was barely visible to the naked eye. As it approached
the sun, in September, it brightened up with great rapidity.
During the first half of October, its tail was 40° in length, and
of a curious featherlike form.

The period of this comet is found to be 1850 years. It will
therefore return again about the thirty-ninth century.

FIG. 94. — Naked-eye view of Donati's comet.

The Great Comet of 1882. — The last very bright comet which
appeared was that of the year 1882. It was remarkable, not
only for its size and splendor, but from the fact that it moved
very nearly in the orbit of the comet of 1843, swinging
dangerously near the sun, as that comet did.

Among the comets of short period, and those whose history
is most interesting, are those of Encke and Biela.

Encke's Comet. — This cornet was first recognized as periodic
in 1818, when it was found by the astronomer Pons of Mar-
seilles, France. On computing its orbit he found that it had
been seen three times before, the first time in 1786. But the
former observers did not know that it was the same comet

184

ASTRONOMY

which, had reappeared. It was now found to be revolving
round the sun in a period of about 1200 days, or between 3

FIG. 95. — A telescopic comet. Three views of Encke's comet as drawn
by Vogel in 1871.

and 4 years. It has been followed from time to time, dur-
ing most of its returns to perihelion, ever since. The most

COMETS AND METEORS 185

thorough investigation of its orbit was made by the German
astronomer Encke, whose name, for this reason, is given to
the comet.

The most remarkable discovery of Encke was that the comet
seems to be gradually shortening its period of revolution. At
most of its returns it seems to be accelerated a few hours.
This is supposed to arise from the comet passing through some
extremely rare medium which resists its motion when it passes
nearest to the sun. In consequence its orbit is growing smaller,
and thus the revolution is completed in a shorter time. As no
other comet shows similar acceleration, it is not regarded as
quite certain that a resisting medium is the real cause of the
change.

Biela's Comet. — The early history of this comet is a good
deal like that of Encke's. It was seen in 1826 by an Austrian
named Biela. On computing its orbit it was found to be
periodic. On calculating its motions back it was found to have
been observed in 1772, and again in 1805. But both the pre-
vious observers thought the comet to be new.

Its time of revolution was now fixed at 6 years and 8 months.
In 1846 it again returned to perihelion, and was found to have
suffered an accident never before known in the case of a
heavenly body. It had separated into two parts, so that,
instead of one comet, two were seen.

At its next return, in 1852, both parts were observed. But
the comet has never been seen since, though repeatedly looked
for at the proper times. Its parts have all been dispersed, but
are doubtless revolving round the sun as minute invisible
particles, as we shall presently explain.

5. Constitution of Comets. — From what we have said, it is
plain enough that the coma and tail of a comet are neither
solid nor liquid, but are composed of an exceedingly thin
vapor, lighter and thinner than the finest vapor on the surface
of the earth. This vapor seems to rise from the nucleus of the
comet under the influence of the sun's rays, much as heat makes

186 ASTRONOMY

a pot of water boil. But the vapor is enormously thinner than
any steam rising from a pot. It forms a cloud around the
nucleus, and moves along with it. As the comet approaches
the sun, the vapor is, in some way not yet fully understood,
repelled by the sun, and thus driven off in a stream. This
stream is the tail of the comet, and is always directed away
from the sun, thus showing that the sun repels instead of
attracting the matter that composes it. Hence the tail is not
an appendage which the comet carries with it, like a bird
carries its tail, but is rather like a stream of smoke rising
from a chimney.

It follows from this that a comet which shows a real tail is,
when near the sun, continually losing its substance by evapora-
tion. When we consider how very large the tail is, nearly
always many millions of miles in length, we might suppose
that the matter of the comet must be evaporating very fast.
But the actual amount of matter in the tail of a comet is
exceedingly small. The tail is so tenuous that the stars can
be seen through millions of miles of it without any diminu-
tion of their light. It reflects so little of the sun's light
that it cannot be seen at all in the daytime or in bright twi-
light It is quite possible that there may be only a few
pounds of matter in the whole tail of a comet.

Still, all the matter that can evaporate from the comet will
in time be lost. Thus it happens that the tails of the periodic
comets gradually diminish as they make their successive revo-
lutions. This is because the volatile matter is gradually being
evaporated. Those comets which have made a great many
revolutions scarcely show any tail at all.

One result of this is that periodic comets, like men, have
only a limited time in which to exist. They grow thinner and
paler as they make theif revolutions, and are probably nearly
all doomed at some time to disappear. Indeed, several have
disappeared during the last 50 years. But new ones are being
brought in by the attraction of Jupiter to take their places in the
way already described, so that the number is as great as ever.

COMETS AND METEORS 187

6. Meteors. — Every one who looks at the heavens with care
by night must notice the meteors, or shooting stars, of which
several can be seen on any clear night of the year. These
objects suddenly come into view, like a moving star, dart
swiftly along for a moment, and then disappear. Their cause
has only recently been discovered.

It is now known that, besides the bodies of the solar system
which we see with our telescopes, there are countless millions
of little particles of matter revolving around the sun in orbits
of various forms and sizes. These particles are so small that
no telescope is powerful enough to show them. As the earth
flies along in its orbit it is constantly encountering these little
particles, which, of course, first strike the atmosphere by which
the earth is surrounded. Now it is a law of physics that, when
a body moves with exceeding swiftness through the air, heat is
generated by the friction and resistance. The great velocity
of these particles moving around the sun — a velocity of many
miles a second — results in so much heat and friction by the air
that the particle is almost instantly destroyed or burnt with a
great evolution of light and heat. Then those who see this
light call it a meteor or shooting star. The invisible particles,
as they exist before striking the air, are called meteoroids.

The meteoroids are very different in size. Hence shooting
stars are of very different degrees of brilliancy. Sometimes
the meteoroids are so large that they rush a long distance
through the air before they are burnt up by the fervent heat.
Then we see a very brilliant meteor, and sometimes hear a
loud report like thunder, or the discharge of artillery. This
is caused by the concussion of the air by the meteoroid.

Occasionally the latter is so large that it falls to the ground
before being burnt up. It is then called a meteorite. If
examined immediately after it falls, it is found to be very hot
on the surface, perhaps partly melted, in consequence of its
rapid passage through the air. Many meteorites have fallen
in this way and some of them are preserved in our museums.
They are found to consist very largely of iron and stone.

188 ASTRONOMY

It is not certain whether the meteoroids which form the
ordinary shooting stars are composed of the same substance
as these large masses that fall to the ground. When they dis-
appear in the high regions of the air, they are completely
dissipated, so that it is impossible to find any remains of them.

7. Meteoric Showers. — Sometimes shooting stars appear
much greater in numbers than usual. They may follow each
other so rapidly that they can scarcely be counted. Then
there is said to be a meteoric shower. Several remarkable
showers of this kind are recorded in history. One occurred
in the year 1799 and another in the year 1833. A third, less
striking, was seen in 1866. All occurred at the same time of
the year, about November 14.

It is now known that these showers are caused by an immense
stream of meteoroids which revolve around the sun in a very
elongated orbit, making about three revolutions in a century.
The swarm is so long that although millions are passing all
the time, it takes two or three years for the whole procession
to pass a given point. It happens that the orbit of this swarm
intersects the orbit of the earth at that point where the earth
passes about the middle of November of every year. Thus,
during the two or three years that the swarm is passing, the
earth will encounter it two or three times in succession.
Then, when the swarm has got by, nothing more will be seen
of these meteors, except perhaps a few stragglers.

It is known that a comet is revolving in the same orbit with
these meteoroids that cause the November showers. Hence it
is supposed that the meteoroids belong to the comet and were
once a part of it.

Radiant Point of a Meteoric Shower. — Each meteor in a shower
of course describes a certain path on the celestial sphere. If
we continue each of these paths in the reverse direction to
that of the motion of the meteor, we shall find them all
directed from one and the same point in the heavens. This is
called the radiant point of the shower.

COMETS AND METEOR&

189

190 ASTRONOMY

The radiant point is an effect of perspective. The real paths
described by the meteors are parallel and nearly straight lines,
which, however, look to us like circles on the celestial sphere.
The radiant point is simply that point of the sphere from
which the lines are directed.

The August Showers. — Although the November showers
which we have described are the most remarkable recorded,
it is found that there are other nights of the year in which
meteors are seen in unusual numbers. One of these dates is
about the 9th or 10th of August. About this time every year,
if one sits up until midnight, he will see an unusual number of
shooting stars, which mostly move from the northeast toward
the southwest. They are distinguished by leaving trails behind
them which last for a few seconds. They are called Perseids
because their radiant point is in the constellation Perseus.

CHAPTER XIV
THE CONSTELLATIONS

1. About the Stars in General. — In the most ancient times,
the priests and astronomers who watched the sky by day and
night saw that the heavenly bodies were of two kinds in
respect to their motions. Seven of them, the Sun, the Moon,
Mercury, Venus, Mars, Jupiter, and Saturn, seemed to have
separate motions of their own. Hence they were called plan-
ets, from the Greek word planetes, a wanderer. This is the
origin of the word planet. The remainder, of which one or two
thousand were easily seen, all seemed fixed in the celestial
sphere. This sphere was supposed to turn on its axis every
day, carrying these bodies with it. This is why the latter
were called fixed stars. The fixed stars comprise all the stars
we see in the heavens at night, the planets excepted.

We have already shown that the seven planets of the ancients
belong to the solar system, while the stars are many thousand
times farther from us than the planets are. Let us try to gain
an idea of these distances. There are in the heavens three or
four pairs of stars so close together that only a keen eye can
see that there are two stars. If a railway train could run at a
speed of 60 miles an hour from one of these stars to the other,
without ever stopping, it might require a million of years for
the journey. During the 5000 years since the beginning of
written history, the journey would hardly have been com-
menced. It would be as if a train which was to run to a city
several miles away was just pulling out of the station.

Each of the stars which has been carefully observed is mov-
ing forward in what seems to us a straight line, often at the

181

192 ASTRONOMY

rate of many miles per second, and the same is probably true
of all. This motion of the stars is called proper motion. Owing
to the great distance of the stars, it cannot be seen except by
telescopic observation. It will be described subsequently.

The stars are bodies like our sun, surrounded by layers of
heated vapor, and shining by their own light.

They are very different in real brightness. Some are hun-
dreds or thousands of times brighter than our sun ; as I have
already said, they look small because they are so far away.

They are at very different distances. The most distant that
we know are hundreds or even thousands of times farther than
the nearest.

Number of Stars. — In the whole heaven there are about 5000
stars that can be seen by an ordinarily good eye. But as one
half of these are, at any one moment, below the horizon, and
many of the other half so near the horizon that the fainter ones
cannot be seen, it is not to be expected that more than 1500 to
2000 can ever be seen at the same time.

For every star visible to the naked eye, there are thousands
that can be seen with a telescope, though invisible to the naked
eye. These are called telescopic stars. With every improve-
ment in the telescope more are seen, so that the total number
made known by the largest instruments probably amounts to
50 millions. The number that may be photographed is yet
greater, perhaps even 100 millions.

The Milky Way. — Every one who carefully looks at the sky
on a clear night must notice the Galaxy, or Milky Way, as it is
commonly called; that beautiful white arch which spans the
heavens. To the naked eye it appears as an irregular row of
cloudlike masses, having a milky aspect, from which its famil-
iar name is given it. When examined with a telescope, the
light is found to come from innumerable stars, too faint to be
seen separately with the naked eye. With a good-sized tele-
scope of a low magnifying power, the field of view is seen to be
studded with such stars shining like little diamonds. The
total number of telescopic stars which form the Milky Way is

THE CONSTELLATIONS

193

FIG. 96. — The Milky Way near the star 15 Monocerotis. AE = 6 h. 35 m.
Decl. = N. 10°. (Photographed by Barnard, 1894 ; exposure, 3£ hours.)

NEWCOMR's

. — 13

194 ASTRONOMY

very great, probably greater than the number of all the stars
in the remainder of the heavens.

The question how the stars are arranged in the Milky Way
is one of the most interesting with which astronomers concern
themselves. With the naked eye we can see that they are not
scattered uniformly, because if they were the Milky Way
would be everywhere equally bright. Many of them are col-
lected into masses or clusters. Some of the clusters contain so
many stars that it is almost impossible to count them, because
they cannot be separated with the most powerful telescope ; in
fact, it is hardly possible to sweep a great telescope along the
course of the Milky Way without finding collections of beauti-
ful objects too numerous to be separately described.

Magnitudes of the Stars. — The stars are very different in
apparent brightness. This arises both from their different
real brightness and their different distances.

The ancient astronomers divided all the stars they were
able to see into six classes, according to their apparent bright-
ness or magnitude. At one extreme were the fifteen brightest
stars. These were called of the first magnitude. At the
other extreme were the great number of stars which could
barely be seen with a good eye. These were called of the
sixth magnitude. Between these extremes came, in regular
order of brightness, stars of the second, third, fourth, and
fifth magnitudes. The brightest six stars of Ursa Major
and the brightest four of Cassiopeia are of the second mag-
nitude. The stars a degree fainter than these are of the
third magnitude; those yet a degree fainter of the fourth.
The fifth are the faintest that one will easily see, unless
the sky is clear and moonless, and his eyes are good.

The same system of magnitudes is continued to the tele-
scopic stars. Thus we have stars of the seventh, eighth, ninth,
and so on up to the fifteenth or sixteenth magnitudes. The
latter are about the faintest that can be seen or photographed
with the most powerful telescope. But we do not know how
many still fainter ones may really exist. . With every increase

THE CONSTELLATIONS 195

in the power of the telescope new stars are brought into
view.

Colors of the Stars. — If we carefully compare the stars
with each other, we shall see that they are perceptibly differ-
ent in color, ranging from the reddish tint of Aldebaran to
the bluish white of Vega. This difference shows that the
substances of which these bodies are composed, and also their
temperatures, are different. No doubt the atmospheres by
which they are surrounded absorb a part' of the light from
the star, and thus change the apparent color. The red stars
are supposed to be less hot than the blue ones, and to be sur-
rounded by a dense atmosphere, which absorbs the blue light,
but lets the red light pass.

2, How the Constellations and Stars are Named. — A constel-
lation is a large group of stars. A duster is a small group of
many stars very close to each other.

The stars are commonly divided among 85 constellations.
The majority of these were imagined by the ancient astron-
omers. The remainder have been mapped out in modern
times.

To most of the older constellations are given the names of
heroes, goddesses, or animals. The outlines of these persons
or objects were supposed to be drawn on the sky in such a
manner that the figure should include the principal stars of
the constellation. Thus we have Cassiopeia, the Lady in her
Chair ; Andromeda, the Chained Goddess ; Auriga, the Chari-
oteer ; Ursa Major, the Great Bear ; etc.

Special names, mostly given by the Arabian astronomers,
are often used to designate the brighter stars. But it is now
common to name a star as we do a person, by a Christian
name and a surname. The Christian names for the principal
stars are the letters of the Greek alphabet, Alpha (a), Beta
(/?), Gamma (y), etc. The surnames are the names of the
constellations to which the star belongs. They are generally
expressed in Latin. This method of naming the principal

196

ASTRONOMY

stars is called the Bayer system, after the astronomer Bayer
who introduced it about 1600.

Generally, but not always, the brightest star in a constella-
tion has the name Alpha, the next brightest the name Beta,
and so on.

Only the principal stars can be named in this way. To
others numbers are assigned, according to various systems.
The following are the names of some of the principal stars
on the two systems. First is given the old name, generally
from the Arabic, and then the name on the Bayer system,
which is now generally used by astronomers.

OLD NAME

Algenib

Polaris 1

The Pole Star /

Archernar

Algol

Alcyone

Aldebaran

Canopus

Sirius

Castor

Procyon

Pollux

Regulus

Mizar

Spica

Arcturus

Antares

Vega

Altair

Fomalhaut

Markab

BAYER NAME
y Pegasi
a Ursae Minoris

a Eridani

/5 Persel

17 Tauri

a Tauri

a Argus

a Canis Majoris

a Geminorum

a Canis Minoris

/3 Geminorum

a Leonis

C Ursse Majoris

a Virginis

a Bootis

a Scorpii

a Lyrse

a Aquilse

a Piscis Australis

a Pegasi

When translated these Bayer names would read Gamma of
Pegasus, Alpha of the Little Bear, and so on, Pegasus, the
Flying Horse, Ursa Minor, the Little Bear, etc., being the
names of the constellations.

THE CONSTELLATIONS

197

3. Description of the Principal Constellations. — We shall now
describe the most noteworthy constellations, clusters, and
other remarkable objects in the heavens which can be seen

without a telescope. He who enters
on this study should look at the
heavens for himself on as many clear
and moonless nights as possible. It
is well to begin with the constella-
tions around the north pole, because
in our latitudes they can be seen on
almost every clear night of the year.
These are called Circumpolar constel-
lations.

We have already described the two
principal circumpolar constellations,
Ursa Major, or the Great Bear, and
Cassiopeia. Between these two and
in the immediate neighborhood of the
pole lies Ursa Minor,
It contains
Alpha

FIG. 97. — The Great Bear
or Dipper.

• Pole Star

to which the pole star belongs,
two stars of the second magnitude.
Ursce Minoris, or the pole star, is near the
end of the animal's tail ; Beta is in his body.
Draco, the dragon, is represented as a long,
snakelike figure, whose body curves round
between Ursa Major and Ursa Minor.

The visibility of other constellations will
depend upon the time of year and time of day
at which we look. We may divide our views FIG. 98. — OJrsa
into spring, summer, autumn, and winter views.
This does not mean that we can get the views
only at these respective seasons, but that at these seasons the
stars will be in a certain position early in the evening, when it
is convenient to look at them. You can see the stars which
we call the autumn ones in the spring, if you will get up
before daylight in the morning.

Minor or Little
Bear.

198

ASTRONOMY

4. Constellations visible in the Evenings of February and March.

— In the spring we shall see the Milky Way spanning the
heavens, and passing west of the zenith and over to the south.
We shall first notice the bright constellations which lie in its

course. In the northwest we shall
see Cassiopeia. Above it is Perseus,
which can be recognized by a row
of stars running along the center
of the Milky Way, one of which, of
the second magnitude, is much
brighter than the rest. This is
called Alpha Persei.

In this constellation you will see
a remarkable cluster which looks,
to the naked eye, like a cloudy mass. This is called the
cluster of Perseus. It forms the hilt of the sword which
the hero Perseus wears when he is painted on the sky. Even
with a good spyglass one can see that this cloudy mass con-
sists of a collection of very small stars.

FIG. 99. — Cassiopeia.

FIG. 100. — Aldebaran and the
Hyades.

FIG. 101. — The Pleiades, or
the Seven Stars.

Above and south of Perseus lies Auriga, the Charioteer.
It contains a star of the first magnitude called Capella, the
Goat, which will now be west of the zenith.

West of the zenith and below the Milky Way is the constel-
lation Taurus, the Bull, which may be recognized by the bright

THE CONSTELLATIONS 199

red star Aldebaran, which is near one eye of the Bull, and used
to be called the Bull's Eye. It is at one end of two lines of

FIG. 102. — Telescopic view of the Pleiades, after Engelmann. The six
brightest stars are easily seen by the naked eye ; the four or five next
in size are also visible to very good eyes.

stars, forming a figure like the letter V, called the Hyades.
One arm of the V is a very pretty close row of stars.

In the same constellation, a little to the northwest, you see
the Pleiades, or " seven stars/' a cluster which is familiar to

200

ASTRONOMY

all. In reality only six stars of this cluster can be plainly
seen with the naked eye. A good eye on a clear moonless
night may see five more, making eleven. There is an old tra-
dition that the cluster originally had seven stars, of which one
disappeared. . This, however, is probably a myth. With a
telescope many additional stars may be seen in this cluster.

East from Taurus, on the other side of the Milky Way and
near the zenith, lie Gemini, the Twins. They are recogniz-
able by two stars of the
first magnitude, Castor
and Pollux, each of which
marks a head on one of
the Twins.

Below Castor and Pol-
lux we see Canis Minor,
the Little Dog, marked
by a star of the first
magnitude, Procyon.

Across the Milky Way
from Canis Minor, and
west of the meridian, we
see Orion, the most bril-
liant constellation in the
heavens. It contains two

FIG. 103. —Orion. stars of tne nrst magni-

tude, called Alpha and

Beta on our modern system, but Betelguese and Rigel on the
old system. The former is a reddish star marking the shoul-
der of Orion. The latter is a bright bluish white star, farther
below, marking his left foot. A row of three bright stars
between these two marks his belt, and three more in a vertical
line below show his sword. His head is formed by a cluster
of three little stars to the right of Betelguese.

Southeast of Orion, on the western border of the Milky Way,
is Canis Major, the Great Dog, remarkable for containing
Sirius, the brightest fixed star in the heavens.

THE CONSTELLATIONS 201

On the southern horizon will lie Argo Navis, the Ship Argo,
a very large and celebrated constellation, of which the greater
part never rises in our northern latitudes. It contains the
bright star Canopus, the second brightest in the heavens,
which in our country can be seen only in the southern states.

Another constellation is Aries, the Ram, which will be
setting in the west. It may be recognized by three stars of
the second, third, and fourth magnitude, forming an obtuse
triangle.

East of Gemini will be seen Cancer, the Crab, which contains
no bright stars, but is remarkable for Prcesepe, which looks to
the naked eye like a little faint spot of milk in the sky. A
very small telescope shows it to be a cluster of stars.

Still farther east is seen Leo, the Lion, which is marked by
the bright star Regulus. North of it will be seen a curved row
of stars forming a figure like a sickle, of which Regulus is the
handle.

5. The Early Summer Constellations. — The next view of the
heavens whicli we shall describe is that in the evening of May,
or an early evening of June. The Milky Way passes so near
the horizon that it will probably be invisible.

In the west can be seen Castor and Pollux and Procyon, but
the other brilliant constellations are near the horizon or below it.

We see Leo, just described, a little west of the meridian.

A little east of the meridian will be seen Virgo, the Virgin,
in the south, which has a bright star Spica, about as bright as
Regulus.

Scorpius, the Scorpion, will be low down in the southeast,
having just risen. We shall describe it later.

Quite near the zenith we shall see Coma Berenices, the Hair
of Berenice. This is a very large thin cluster of faint stars,
quite irregular in form.

East of this cluster we see Bootes, the Herdsman. It is
marked by Arcturus, a very brilliant reddish star, mentioned
in the Book of Job. In the mythological arrangement of the

202 ASTRONOMY

constellations, Bootes is represented as holding two dogs in a
leash. They are called Canes Venatiti, and are chasing Ursa

Major round the pole.

In the northeast, below Arcturus,
we see Corona Borealis, the North-
ern Crown, a small but exceedingly
beautiful chaplet of stars, which
we can easily imagine to form a
crown. The brightest of them is
of the second magnitude, and is
called Alpha Coronse Borealis.

* 6. The August Constellations. -

the Northern Crown.

It we look in the latter part of the

evening, during the month of August, or in the early even-
ing during the first part of September, we shall again see
the Milky Way spanning the heavens like an arch. But we
now see a different part from what we saw in the early spring.
Arcturus is now sinking in the west, while Cassiopeia is rising
in the northeast. In the Milky Way, some distance above
Cassiopeia, we see Cygnus, the Swan. It has five stars arranged
in the shape of a cross, which form the wings, head, and tail of
the swan. The brightest of these, Alpha Cygni, is nearly of the
first magnitude.

South from Cygnus and near the zenith, is Lyra, the Harp,
a small but very beautiful constellation. It contains Vega, a
brilliant, bluish-white star of the first magnitude. South of
Vega are four stars of the fourth magnitude forming an oblique
parallelogram, by which the constellation can be recognized.

East of Vega, and very close to it, is the star Epsilon Lyrae,
which, if you have a very keen eye, you will see to be composed
of two stars very close together.

South of Lyra and in the Milky Way, we next look for
Aquila, the Eagle. It is readily found by the bright star Altair,
or Alpha Aquila, of the first magnitude, situated between two
smaller stars.

THE CONSTELLATIONS

203

Northeast of Aquila is Delphinus, the Dolphin, familiarly
known as Job's Coffin. Its four principal stars are arranged
in the form of a lozenge.

FIG. 105. — Lyra, the Harp.

FIG. 106. —Aquila, the Eagle.

Scorpius, the Scorpion, is now low down in the south, west
of the meridian. Its brightest star is Antares, or Alpha
Scorpii, which is red in color and nearly of the first magni-

FIG. 107. — Scorpius, the Scorpion,
with Antares, the brightest star.

FIG. 108. — Delphinus, the
Dolphin, or Job's Coffin.

tude. West of it is a long curved row of stars forming the
head and claws of the scorpion.

East of Scorpius we see Sagittarius, the Archer.

204 ASTRONOMY

7. The November Constellations. — We now see the Milky
Way a little north of the zenith, seeming to rest 'on the east
and west horizon. All the constellations that we see in its
course have already been described.

No bright stars are visible except some of those already
mentioned. Lyra is in the northwest; Aquila, in the west.
South of the zenith we see the Square of Pegasus, four stars
of the second magnitude forming the corners of a large square.
Three of them belong to the constellation Pegasus, the Flying
Horse.

In the south, or southwest, near the horizon, we see the star
FomalJiaut, belonging to the constellation Piscis Australis, the
Southern Fish.

The zodiacal constellations, Capricornus, the Goat, Aquarius,
the Water Bearer, and Pisces, the Fishes, are all visible in the
south or southwest, but they do not contain any very bright
stars. Aries, the Ram, is high up, southeast of the zenith, and
Taurus, with the Pleiades, is seen lower down in the east;
Castor, Pollux, and Procyon, lower yet.

If we wait till ten o'clock, we shall see Orion rise to the south
of east, and after him Sirius.

CHAPTER XV
THE STARS AND NEBULA

1. The Stars are Suns. — The difference between the appar-
ent brightness of the sun and the stars is such that, in former
times, men never suspected that there could be any similarity
between them. But the reader who has carefully studied what
we have said about these objects will readily understand that
the sun is simply one of the stars. In other words, the stars
are suns like that which gives us the light of day. They are
found to be like the sun in every feature that we can discover.

The first question one would ask on this subject is, How does
the brightness of our sun compare with that of the stars ? To
answer this question we must call to mind on what the bright-
ness of a star depends. We must distinguish between the real
brightness and the apparent brightness of such an object. A
star of a given real brightness looks fainter to us the farther
it is away, just as a distant gaslight looks fainter than one
near us. It was formerly supposed that the difference of
apparent brightness was due mostly to this cause, the brighter
stars being those near us, and the fainter those at a greater dis-
tance. But it is found that this is not always the case, and
that the stars differ enormously in real brightness. Sirius, the
brightest star in the heavens, is many times brighter than our
sun. Yet brighter is Canopus, of which we have already
spoken. The parallax of this star is found to be immeasurably
small, in other words it is immeasurably far away. To shine
as brightly as it does it must be thousands of times as bright
as the sun.

205

206 ASTRONOMY

By comparing the light of the sun and stars, and calling to
our aid what knowledge we possess of the distance of the latter,
we find that the sun is quite a small body compared with most
of the brighter stars in the heavens. The latter are not only
suns, but they are suns many times brighter than ours.

In a few cases the mass of a star has been determined. Thus
it is found that the mass of Sirius is several times that of the
sun. But in this case it is known that the light of the star is
greater than that of the sun in a yet greater proportion. It is
thus found that many of the stars are much less dense than the
sun, being probably like bubbles, masses of very hot gas in-
closed in a more or less liquid or cloudy envelope.

This subject is one of which astronomers are now seeking to
add to their knowledge. Such knowledge is, as yet, quite cer-
tain in only a few cases. Even when certain the result cannot
be stated with great exactness. We may compare it to the
knowledge of a country which one would acquire by looking
around for a few minutes from the top of a high mountain.
He would see that some villages were much farther than
others, and would know that here was a river and there a hill.
But if he tried to make a map of the country he would often
err widely in the positions which he assigned to the various
objects in the landscape.

2. Proper Motions of the Stars. — We have already said that
the stars are generally in motion, often with a very high veloc-
ity. But their distance is so great that this motion would not
be perceptible to us in a thousand years had it not been deter-
mined with astronomical instruments of great precision, espe-
cially the Meridian Circle.

Such motions of the stars are called their proper motions.
So far as yet known these motions take place in straight lines
with a speed that never varies.

The proper motion of a star is detected by determining very
exactly its right ascension and declination from time to time,
and thus finding whether its position changes on the celestial

THE STARS AND NEBULA 207

sphere. It is found that nearly all the brighter stars, as well
as many of the faint ones, have a proper motion. We may
conclude from this that every star in the heavens is really
moving. In fact, if a star were really at rest at any moment,
the attraction of the other stars would gradually start it mov-
ing. In the case of the vast majority of the millions of stars
which we see in the heavens, the motion is so slow that it has
not yet been detected.

We may express the proper motion of a star in two ways :
either as so many miles per second, which would be its real
motion; or as such an angle per year or per century, as seen by
us, which would be its apparent motion. The real motions are
what we should call very rapid, the average being, probably,
about 10 miles a second. In a year there are 31,558,149 sec-
onds. Hence, a star moving at this average rate travels more
than 315 millions of miles per year. Probably one half the
stars are moving straight ahead with this speed, which, so far as
we know, never changes, year after year, or centu^ after cen-
tury. They are traveling forever on a journey of which we
do not know either the beginning or the end. Yet, so vast is
their distance that only the most refined observations can show
how far they move in a whole year. The inconceivable dis-
tance we have mentioned is, to our eyes, a mere point in the
sky.

3. Motion of the Sun. — The sun, being one of the stars, may
be supposed to have a proper motion of its own, as the stars
have. In this case it would carry the earth and all the planets
with it, without their relative positions being changed. It is
just as if a person were walking around a chair in a railway
car in motion. He could walk around just as well whether
the car were in motion or had stopped. -

If a star were at rest and the sun in motion, the star would
seem to us to have a motion, on account of the motion of the
sun. If we were moving toward a star, then the star would
be shown by the spectroscope as if it were moving toward us.

208 ASTRONOMY

If the sun carrying the earth with it were moving toward the
north the star would seem to be moving toward the south. It
is, therefore, impossible from any observation on one star, to
determine how much of the apparent motion of the star is due
to motion of the sun, and how much to actual motion of the star.
But if we find that a great majority of the stars seem to be
moving in some one direction, we should conclude that this
motion is only apparent, being due to a motion of the sun and
earth in the opposite direction.

This is found to be actually the case. A large majority of
the stars are found to be in apparent motion from the direction
of the constellation Lyra toward a point in the eastern part of
the constellation Argo. This latter constellation, as we have
said, is so far south of the equator that it only partly rises
above our horizon. We conclude from this that our solar
system is moving toward the constellation Lyra. The velocity
has been determined in various ways, and is found to be about
10 miles a second.

It is in consequence of this motion of our solar system that
so many of the stars seem to be moving away from the constel-
lation Lyra. This apparent motion of the stars is called their
parallactic motion, because, like parallax, it is due to the change
of the direction from which we see them.

The motion of our solar system toward the constellation
Lyra is one of the most wonderful conclusions of modern
astronomy. One can get an idea of the immensity of the
heavens by looking up at the beautiful blue star Alpha Lyra
on summer evenings and reflecting that not only during all
our lives, but during the lives of all our ancestors for untold
generations back, we have been traveling toward it at the rate
of about 300 millions of miles per year. And yet the star
looks to us as it did to them. Kapid as the journey is, it will
probably take our system half a million of years to arrive
where the star now is. In the meantime the latter will have
moved away, so that it will perhaps be as far away from us as
it is now.

THE STARS AND NEBULA 209

4. Motions in the Line of Sight. — In recent years the spec-
troscope has made additions to our knowledge of the motions
of the stars which would have been thought impossible before
it was invented. Astronomers are now able, by examining the
spectrum of a star, to determine how fast it is approaching us,
or receding from us. The explanation of the method belongs
to the subject of physics, but the general principle is very
simple. If the star is approaching us, the spectral lines will
all be moved a little toward the blue end of the spectrum ; if
moving away from us, they will be displaced toward the red
end of the spectrum. So, what is done with the spectroscope
is to compare the spectrum of a star with that of a substance
that gives the same lines as the star. Thus it is seen whether
the lines of a star are displaced in one direction or the other,
and how far, and thus it is determined whether the star is
moving toward or from us, and how fast. The motion toward
or from our system is said to be in the line of sight.

This is now done by photographing the spectra both of the
star and of the substance with which its lines are compared.
The measures are then made on the photographic negative.

5. Distances of the Stars. — We have already defined parallax
as difference of direction, and especially as the difference
between the direction of a heavenly body from the center of
the earth and from a point on its surface. The distance of the
stars is so great that this difference of direction would be

Fio. 109. — Annual parallax of a star.

entirely imperceptible with any instrument that we can make.
But as the earth swings round the sun in its vast orbit, 186
millions of miles across, there must be a corresponding change
in the direction of the stars from us. This change is called
annual parallax, because it goes through its course in a year.
NEWCOMB'S ASTRON. — 14

210 ASTRONOMY

When we speak of the parallax of a star, we mean the dif-
ference in its direction as seen from the sun and from one
extremity of the earth's orbit. This is the angle which the
radius of the earth's orbit would subtend if seen from the
star.

So small is the annual parallax, even of the nearest star,
that astronomers were not able to invent instruments which
would show it until about the year 1830. Then it was found
by Bessel that a small star of the constellation Cygnus, called
61 Cygni, had a parallax of about ^ of a second. About the
same time it was found that the star Alpha Centauri, in the
southern hemisphere, had a still larger parallax, of which
the amount is now known to be about 0.75".

Since then the parallaxes of about 100 stars have been
measured. But in many cases it is so small that there is doubt
about the result. The parallaxes of two remarkable ones are
supposed to be :

61 Cygni . ... . . 0.35"

Arcturus 0.03"

Let us now show how, from the parallax of a star, we can
determine its distance. Let the little circle EF be the orbit
of the earth around the sun; S the sun, R a star. From R
draw two lines, one to the sun and the other to one extremity
of the orbit. The angle ERS between these lines will be the
annual parallax of the star.

FIG. 110. — Relation between the parallax and distance of a star.

If we draw a circle, as in figure 2, an arc of one degree will

be about of the radius. That is, an arc of 57.3° will make

a length equal to the radius. More exactly, the number of

THE STARS AND NEBULA 211

degrees in the radius is 57.29578. There being 60 minutes in
a degree, and 60 seconds in a minute, we shall find by multi-
plication that there are 206265 seconds in the radius.

Now, if we fancy ourselves to draw a circle with the star as
a center and a circumference passing through the sun, as shown
in the dotted arc in figure 110 we find, as already stated, that
the arc ES or SF, which measures the parallax, is less than
one second. Therefore, the distance of a star, or the radius
SE, is more than 206265 times that of the earth from the sun.
We may find the exact distance by dividing 206265 by the
star's parallax. Thus is found: —

Distance of Alpha Centauri . . . about 275,000
Distance of 61 Cygni .... nearly 000,000
Distance of Arcturus .... nearly 7,000,000

These distances are expressed in terms of the earth's dis-
tance from the sun as the measuring rod. If we wish to
express the distance in miles we should multiply them by
93 millions. The distance of Arcturus is still uncertain,
almost immeasurably great, and the same is true of all but
about 100 of the stars.

It is common to express the distances of the stars and other
heavenly bodies by the time it takes their light to travel to us.
The speed of light is such as it would travel round the earth
more than seven times in a second. If we could send a ray of
light round by the Atlantic and Indian Oceans to Australia
and back here over the Pacific, keep it going round and round,
and make a little tap every time it passed us, these taps would
follow each other so rapidly we could hardly move our fingers
fast enough to make them.

Going at this speed a ray of light from the moon reaches us
in about 1J seconds, and one from the sun in 8 min. 20 sec.
It reaches Neptune from the sun in 4 h. 10 m.

The light from Alpha Centauri reaches us in 4£ years;
that from 61 Cygni in about 9 years. From most of the
stars of average brightness that we see in the sky at night

212

ASTRONOMY

the time is between 100 and 200 years, often more. From
the telescopic stars it ranges from a few hundred years to
perhaps several thousand.

Real Speed of a Star. — When we know the distance of a star,
its apparent proper motion, and its motion in the line of sight,
we can determine the actual speed with which it is flying
through space. Arcturus has the most rapid motion of any
star visible to the naked eye. We can easily compute it in
this way. Let ES be the radius of the earth's orbit and AR
the distance through which Arcturus moves in a year. The

FIG. 111.

angle between the lines RE and RS is, as just explained, the
parallax of the star, which, as we have already said, is about
0.03". But the star moves through an arc AR, which is found
to be 2.10" per year. This is about 70 times as much as the
parallax. It follows that the star Arcturus travels over more
than 70 times the distance of the earth from the sun in a year,
and therefore makes this distance in about 5 days. If we
make the calculation we shall find that this corresponds to a
speed of more than 200 miles per second !

But this calculation takes no account of
the motion of the star in the line of sight.
To show the actual movement, we draw a
line AR at right angles to the line of sight
from the earth to the star, and make it pro-
portional to the apparent motion as seen by
the eye. We draw another line, RS, at
right angles to this, showing the motion in
the line of sight. Then, joining AS, the hypothenuse will
represent the total real motion of the star.

In the case of Arcturus the motion in the line of sight is

FIG. 112.

THE STARS AND NEBULA 213

so small that the hypothenuse differs very little from the line
AR. We may therefore regard 200 miles per second as its
probable speed.

Arcturus has undoubtedly been flying through space with
this wonderful speed for thousands of years in the past, and
will continue its journey for thousands of years in the future.
We believe this to be the case because we cannot imagine or
believe in the existence of any force which could change so
rapid a motion of so immense a body.

6. Variable Stars. — The great majority of the fixed stars
never change in their appearance. But there are some which
vary in brightness from one time to another. These are called
variable stars.

Some of these stars vary in so irregular a way that no law
can be seen in their changes of light. The most remarkable
case of this kind is that of Eta Argus, in the southern celestial
hemisphere. Before 1830 it varied between the second and
fourth magnitudes. From 1830 to 1843 it was sometimes
nearly as bright as Sirius. Then it slowly faded away till it
became invisible to the naked eye. In recent years it has
brightened up a little, but in 1898 a telescope was still
required to make it visible.

Most of the variable stars go through their changes accord-
ing to a regular law, brightening up, and then fading away
again in a regular period. These are called periodic stars.

The phases of a periodic star are the different appearances,
or degrees of brightness, which it exhibits.

The period is the length of time in which it goes through its
phases and returns to the same brightness as before.

A minimum is the phase when it gives less light than it did
just before, or just afterward.

A maximum is the phase when, having been brightening up,
it is about to fade again.

The law of variation is not the same in all periodic stars.
The various kinds of change they go through are called types.

214 ASTRONOMY

Thus, when we say that a star is of the Algol type, we mean
that it varies in the same way that Algol does, a way that will
be stated presently.

The period in the case of any one star commonly changes
slowly from time to time, sometimes being a little longer, and
sometimes a little shorter.

The periods of different stars are very different in length.
In the case of some it is only a few hours, and in others a few
days. In a great number of stars it ranges between six months
and two years.

Interesting Variable Stars. — In the great majority of cases
the variations in the light of these stars are so slight, or the
stars are so faint, that only the most careful and well-trained
observers would notice any change. But there are three of
which the variations can be seen by any one who will take the
necessary care in watching.

The Star Beta Lyrae. — One of these stars is in the constella-
tion Lyra, and is marked with the Greek letter ft (Beta) in
the figure of that constellation (p. 203). One who notices the
figure in the book can easily recognize the star in the heavens.
If he looks at it for a few nights he will find that sometimes
this star is of the same brightness as the star Gamma, close
to it, and sometimes nearly a magnitude fainter.

It goes through a regular series of gradations, growing
brighter and fainter at intervals of six days. The curious
feature of this variation is that at every alternate minimum it
is fainter than at the adjacent minima.

It is now believed that this star is composed of a pair of
oval-shaped stars so very close together that they almost touch
each other. The pair revolve around each other in an orbit of
which the plane passes in the direction of the solar system.
Hence, if we could have a telescope powerful enough to see
what was going on, we should, at a certain time, see the small
star pass in front of the bright one, partially obscuring it.
Six days later the small one would pass behind the bright one
and be hidden by it, and so on in regular order.

THE STARS AND NEBULA 215

The Star Algol. — Another remarkable variable star is Algol,
or Beta Persei. This star is commonly between the second
and third magnitude in brilliancy. But it fades away to
nearly the fourth magnitude at intervals of about 2 d. 21 h.
It takes 3 or 4 hours to thus fade away, and then in 3 or 4
hours more it brightens up again. It is now found that this is
due to the star having a dark planet revolving around it, which
is nearly as large as the star itself. Every time this planet
passes in front of it it obscures part of its light. The fact of
this revolution has been determined with the spectroscope by
measuring the effect of the eclipsing planet upon the motion
of the star. The planet itself is invisible even with the most
powerful telescope.

Mira Ceti. — The third star of this kind is Omicron Ceti,
called also Mira Cetij or the wonder of Cetus. It is commonly
invisible to the naked eye; but at intervals of about 11
months it gradually brightens up so as to be plainly visible.
Sometimes it attains the second magnitude, sometimes only
the fifth. But however bright it becomes, it begins to fade
away again in two or three weeks and finally disappears from
view. It may, however, always be seen with a telescope.

Stars of the Algol type are nearly always of the same
brightness, but at certain regular intervals fade away for an
hour or a few hours, and then brighten up again, as we have
described in the case of Algol. There can be no doubt that
these seeming eclipses arise from the same cause as those of
Algol, namely, the presence of a dark planet which passes
between us and the star at every revolution.

Sometimes two stars of the same kind revolve round each
other. In this case, if the plane of the orbit passes through
our solar system, we see them mutually eclipsing each other
at every half revolution. That is to say, if we call the one
star A and the other star B, then at one time of the revolution
A will pass between us and B ; half a revolution later A will
pass on the other side of B, so that the latter will hide part of
its light.

216 ASTRONOMY

A remarkable pair of stars of this kind is called Y Cygni.
Here the pair looks like one star, even in the most powerful
telescope. The way we know there are two stars is that the
eclipses occur at unequal intervals. The intervals are alter-
nately 44 hours, 28 hours, 44 hours, and so on. This regular
alternation shows that the two stars revolve round each other
in an orbit having a great eccentricity, so that the revolution
is much faster at one point of the orbit than at another.

The number of known stars of this type is very small.
Commonly a variable star does not remain of the same bright-
ness for any considerable time, but varies in a slow and
regular way. Starting from the time when it is faintest, it
grows brighter day after day and week after week, first at a
very slow rate and then more rapidly, until it attains its full
brightness, and then after a few days begins to fade away,
slowly at first, and afterward more quickly, until it gets back
to its least brightness, and so on in regular order.

Several hundred variable stars are now known to astrono-
mers, and new discoveries of them are being made very
rapidly. There is reason to believe that one star out of every
hundred in the heavens may vary to a greater or less extent.

7. Double Stars. — A great many stars which seem single
to the naked eye are found, when viewed with a telescope,
to consist of two stars very close together.
These are called double stars. Several thou-
sand such stars are known, and new ones are
constantly being discovered.

The first question suggested by a pair of
this sort is whether the two stars are really
close together, or whether they merely look
so because they happen to lie in the same
FIG. 118. — Orbit line from us. It is now known that nearly
of a double star. all guch pairs ape reajly dose together and

that the two stars of the pair revolve round each other. In
this case the pair is called a binary system.

THE STABS AND NEBULA 217

The time required for one star of a binary system to make a
revolution round the other is called its period.

The period of most binary systems is very long, — several
centuries, in fact. But a few have periods of less than a
century. As accurate observations on these systems have only
been made within a hundred years, only these few have been
seen to complete a revolution. Hence the exact time of revo-
lution is known only in those cases in which the period is less
than a century, or not much greater.

Sometimes the two companion stars which form a double
star, or binary system, are nearly of the same magnitude. In
other cases, one star is very much smaller than the other.
Indeed, a great many bright stars are found to have very
minute satellites moving around them. Two of the most
remarkable cases of this sort are Sirius and Procyon, because
in each case the existence of the little satellite was inferred
by the motion of the large star produced by the attraction of
the satellite before the latter was seen by the telescope.

In the case of Sirius, it was found by Bessel and Peters
that the visible star was moving round in such a way as to
show that it was attracted by some body very close to it,
which they could not see with their telescopes. But in 1862
Mr. Alvan Clark of Cambridge made a telescope of 18 inches
diameter, which was more powerful than any ever before con-
structed. With this he found the companion of Sirius in
the same direction in which it had been predicted. from the
motions of Sirius itself. It is now found that a revolution is
made in about 50 years.

The history of Procyon is similar. Observations for a hun-
dred years showed that it was moving in a little orbit, as if
it were attracted by a dark body revolving round it in a period
of 40 years. In 1896 this little body was actually found by
Professor Schaeberle with the powerful telescope of the Lick
Observatory, in California. It is found that the companion
is moving round Procyon in the same direction in which the
motion had been predicted.

218 ASTRONOMY

A few of these binary stars will be seen double, even in
quite a moderate telescope. But the greater number require a
high telescopic power for their visible separation. The reason
of this is that, in most cases, the stars are so close together
that they appear single even with a high magnifying power,
while in other cases the small one is so faint that it is obscured
by the brightness of the larger one. With every increase of
telescopic power, it is found that new objects of this class may
be seen. The greater number of the difficult objects now
known would have been entirely invisible in the largest tele-
scopes of a hundred years ago. Hence we conclude that,
if we could increase our telescopic power without limit, we
should continually see more and more of these objects, and
find perhaps that every star in the heavens had other stars
revolving around it.

An interesting question now arises. Since our sun has a
retinue of eight dark planets revolving around it, may it not
be that all the stars have planets which we cannot see on
account of their immense distance? This is quite possible.
If we could fly away from the solar system, and carry with us
the most powerful telescope ever made, all the planets, even
the brightest, would become invisible through our telescope,
one by one, long before we got halfway to the nearest star.
Even Jupiter does not give -nnrhnw part as much light as
the sun, and we can readily understand that a star giving
only I00oooo as much light as another would be totally invisi-
ble to us. The fact that we cannot see planets revolving
around the stars, therefore, proves nothing.

It might seem to us that it would be forever impossible
that men living on this globe should be able to detect among
the stars bodies which are forever invisible. And yet this
wonderful thing is being done through the researches with
the spectroscope and observations on the variable stars. We
have already mentioned the variable stars of the Algol type,
which are partially eclipsed by the revolution of dark bodies
around them. Such stars will appear variable to us only in

THE STARS AND NEBULA 219

the rare cases when the plane of the orbit of the dark body
passes near the direction of the solar system. If the plane
should be in a different position, then the dark body, or the
revolving star, would not seem to us to pass over the bright
one at each revolution, but would pass above or below it, as
the moon at conjunction with the sun may pass above or below
it without eclipsing it. In these cases the bright star will not
be a variable one, and our telescopes would give no indication
that there was more than one body.

But the spectroscope now comes in and tells the story of
companions which are and must forever be entirely invisible
to human eyes. Systems made known in this way are called
spectroscopic binary systems, or merely spectroscopic binaries.

There are two ways in which a star may be shown to form
part of a binary system by means of the spectroscope.

One way consists in measuring the motion of the star in the
line of sight. Sometimes this motion is found to vary in a
regular period, increasing for a certain time, then decreasing,
then increasing again, and so on. Sometimes it will move
toward us for a certain interval, then nearly stop, then come
toward us again. There can be but one possible cause for such
a change of motion, the attraction of a body revolving around
the star. In such a case each body would revolve around the
common center of gravity of both, as we have described in the
case of the sun and moon.

The other method rests on the same principle. We have
said that the motion in the line of sight is shown by a slight
displacement of the lines of the spectrum. Sometimes these
lines are seen to be double for a period ; then single ; then
double again in regular order. This arises from the fact that
there are two stars moving around each other and showing the
same lines. When one is moving toward us and the other from
us a spectral line of one star is displaced in one direction and
the corresponding line of the other is displaced in the opposite
direction. Then two lines are seen instead of one. But when
the stars move toward or from us with the same velocity only

220 ASTRONOMY

one line is seen, because the lines of the two stars are merged
together.

The periods of these spectroscopic binary stars are generally
only a few days, whereas, as we have already mentioned, those
which we see double in the telescope have periods of many
years. But we may suppose that binary systems having all
intermediate periods really exist, though they cannot be seen
double in the telescope. It is only a few years since these sys-
tems began to be discovered with the spectroscope, and we have
not had time to detect those having a long period. Besides,
such a system will not be seen even with a spectroscope, unless
the invisible body which produces the motion has a great mass.
If an astronomer on a distant star should observe our sun with
a spectroscope he would never be able to detect any motion due
to the attraction of the planets which revolve around it.

We may therefore conclude that planets are probably revolv-
ing around great numbers of stars ; but up to the present time
astronomers have not been able to learn much more about them
than what we have just set forth. But it is wonderful that we
should ever know anything at all about them.

8. Clusters and Nebulae. Clusters of Stars. — We have already
spoken of some of these clusters which can be seen by the
80UTH naked eye, either as separate

stars or as patches of milky
light. Quite a number of
them are seen in the Milky
Way, especially the southern
part, which is visible in the
late summer or autumn.

Some of these clusters are
among the most interesting
telescopic objects. One of
the most remarkable is the

FIG. 114. -Star cluster 47 Toucani, Sreat cluster of Hercules,
as drawn by Sir John Herschel. This is formed of thousands

THE STARS AND NEBULA

221

FIG. 115. — Star cluster w Centauri,
as drawn by Sir John Herschel.

of stars in such close proximity that they can scarcely be dis-
tinguished even in the most powerful telescopes. When we
look at this object, we might
imagine it to be a little colony
on the outskirts of creation
itself, the inhabitants of which
might hold communication with
each other, even if they lived
on different planets. Yet,
if any of the stars which
form this cluster have planets
revolving round them, it is
quite likely that their distance
apart is so great that the in-
habitants of one planet would
know no more about the other
planets, or the other stars, then we know about Venus or Mars.

Nebulas. — There are in the heavens a great number of objects
which appear in the telescope as very faint masses of soft dif-
fused light, like thin pieces of cloud. Such a mass is called a
nebula (Latin for cloud).

A few of these objects are visible to the naked eye, but the
greater number, comprising many thousands, can be seen only
with a good telescope and on very clear nights. Sometimes
when a cluster of stars is viewed with the naked eye, or with a
telescope which will not enable us to distinguish the separate
stars, it has the appearance of a nebula. Hence it was once
questioned whether all these objects might not really be clus-
ters of stars. This question has been settled in recent times
by the spectroscope, which shows that the greater number of
the nebulae are masses of glowing gas, and therefore cannot be
made up of stars.

The most wonderful object of this sort is the great nebula
of Orion. It is plainly visible to the naked eye, to which it
has the appearance of a star of the fourth magnitude with a
somewhat indistinct and hazy outline. It is the middle star of

222 ASTRONOMY

the three which form the sword of Orion, hanging below the
belt, and may be found on the figure of that constellation
already given. When examined in a good telescope a curious
dark rift or cavity is seen near one edge. In this rift are a
number of stars, of which four are much brighter than the
others. These are called the trapezium. These stars give us
the impression of being formed out of the matter of the nebula

FIG. 116. — The annular nebula of Lyra.

which perhaps once filled the rift. There are a great number
of other stars in and around the nebula, some of which are
believed to be variable. Two very small stars are inside the
trapezium.

Another of these objects easily visible to the naked eye is
the great nebula of Andromeda. This does not look like a
star, but can easily be seen as a small hazy patch of light of
an elliptical form. It is sometimes mistaken for a small

THE STARS AND NEBULA

223

comet. With a small telescope it looks like a patch of fog
illuminated by a lantern behind it or in it.

Many nebulae are of singular or fantastic shapes. A cele-
brated one is the annular or ring nebula of Lyra, situated in
that constellation about halfway between the stars Beta and
Gamma. The circumference is so much brighter than the cen-

FIG. 117. — The Omega Nebula, as drawn by Sir John Herschel.

ter that, to the telescopes of former times, it seemed to be a true
elliptical ring. But with our large telescopes the whole inte-
rior appears to be filled with nebulous light, as shown in the
figure. The figures show several other curiously formed neb-
ulae, as drawn by Sir William Herschel and others. It is now
found that there are many thousand nebulae which are too faint
to be seen even with a telescope, but which can be photographed

224 ASTRONOMY

by several hours* exposure. One of these is near the Pleiades.
Another very large one is in the constellation Orion.

It is thought that stars and systems are formed by the grad-
ual cooling and condensation of nebulae. In this way the re-
markable regularity of the solar system is explained. It is
supposed that the matter composing the sun and planets was

FIG. 118. —The Trifid Nebula.

once a mass of glowing gas, with a slow revolution on its axis.
As this gas cooled, the outer portion condensed into a ring.
As the central portion grew smaller, additional rings were
formed. Finally, each ring contracted into a planet, and the
central mass into the sun.

This view of the origin of the solar system is called the
nebular hypothesis.

CHAPTER XVI
A BRIEF HISTORY OF ASTRONOMY

IT is interesting to know what men thought of the earth and
the heavens before their true relation and the laws of the celes-
tial motions were understood.

In very ancient times it was well known to philosophers and
navigators that the earth was a globe. Navigators could see
how, on the Mediterranean Sea, the sail of a distant ship would
gradually sink below the horizon, owing to the roundness of
the surface of the sea. Observers of the heavens knew that
when they traveled south the stars behind them would sink
below the horizon, while new stars in front of them would
rise. They also knew that an eclipse of the moon which was
seen after sunset at Babylon occurred at an earlier hour at
points farther west. All this proved to them that the earth
on which we live is a globe.

What they did not know, and had no means of finding out,
was that this globe turned on its axis and moved round the
sun. It is sometimes supposed that Pythagoras and other
ancient philosophers taught this system; but this cannot be
proved, because none of their writings have come down to us.
The earliest astronomer who has told us much of the ancient
ideas of astronomy was Ptolemy, who nourished at Alexandria
about the year 150 of our era. He wrote a great work called
the Syntaxis, but more commonly known as Almagest, from an
Arabic expression signifying The Great Work. The system of
astronomy which we find in this book is commonly called the
Ptolemaic System, after this writer. Its main doctrines are
these : —

NEWCOMB'S ASTRON. — 15 226

226 ASTRONOMY

1. The earth is a globe.

2. This globe is at rest in the center of the heaven.

3. The heaven is spherical in form.

4. The earth is so much smaller than the heaven that it is

only a point in comparison.

5. The heaven makes a revolution around the earth every

day.

It is interesting to notice what is right and what is wrong
in these five propositions. The first and fourth, as we already
know, are quite correct ; and the fact that the ancients were
able to learn so much about the respective magnitudes of the
earth and the heaven is very remarkable. The second is
wrong. Properly speaking, there is no such thing as the
center of the heaven. But the ancients, seeing the apparent
circular motion of the stars, and noticing how they seemed
to be spread out on the celestial sphere, supposed the heaven
itself to be spherical.

The third and fifth propositions are, of course, all wrong.

To us it is much more reasonable to suppose that a com-
paratively small point like the earth is in motion and the
much larger heaven at rest, than it is to suppose the reverse.
The ancients thought it was the heaven and not the earth
which moved, because they did not suppose the former to
consist of the same kind of matter as the earth, and because
they were not acquainted with the laws of motion. They
supposed that there was an inherent tendency in all moving
bodies to stop moving and come to rest. They reached this
conclusion because that seemed to be the case with all bodies
in motion around us. What they did not see was that this
tendency to stop was not inherent in the motion itself, but
arose from the fact that the motions of all bodies around us
were constantly resisted by friction, the resistance of the air,
and the contact with the earth.

Some ancient philosophers did really suggest that it was the
earth which turned on its axis while the heaven remained at
rest. But Ptolemy thought, that if the earth revolved on its

A BRIEF HISTOEY OF ASTRONOMY 22T

axis, it must be turning with such speed that it would leave
the air behind it, so that we should have a furious gale blowing
from east to west. He could not conceive of earth, atmosphere,
and everything on the earth running so smoothly together that
we should be quite unconscious of any motion at all.

In watching the stars the ancient philosophers saw what to
them was a curious fact, namely, that the stars preserved their
relative positions to each other while they seemed to turn
round the earth, just as if they were set in a hollow revolving
sphere. So they imagined such a sphere,- of which the sub-
stance was the purest and most translucent crystal, and which
was therefore called the crystalline sphere. This sphere they
fancied to turn on an axis passing through the center of the
earth and coinciding with what we know to be the earth's
axis. This was called the axis of the heaven. The sphere,
in turning, was supposed to carry the stars with it

But this sphere did not account for the motions of the
planets. By the planets the ancients meant all the heavenly
bodies, seven in number, which did not seem to revolve in the
supposed crystalline sphere. These bodies, as we have already
said, were the Sun, the Moon, Mercury, Venus, Mars, Jupiter,
and Saturn.

Each of these planets was supposed to have its own sphere.
They quite correctly supposed that the spheres of the planets
must be inside the sphere of the fixed stars ; but they had no
idea how much farther the stars were than the planets.

They also noticed that the planets, excepting the sun and
moon, moved in the celestial sphere, sometimes from west
toward east and sometimes from east toward west. They
accounted for this by supposing them to have two motions,
one round the earth, and the other on an epicycle. The latter
was a small circle the center of which was considered to move
round the earth, while the planet moved around in the circle
itself.

We now know that this apparent motion round the epicycle
is really due to the motion of the earth round the sun, which

228

ASTRONOMY

makes the apparent motion of the planet sometimes retrograde
and sometimes direct. But the ancients supposed it to be a
real motion. This notion was held until the sixteenth cen-
tury, when it was refuted by the great Copernicus.

Copernicus was born at Thorn, in Poland, in 1473. He
studied at the University of Cracow and became a priest. He

also acted for a short time
as Professor of Mathe-
matics in Rome. He
thought for many years
over the mystery of the
heavenly motions, and saw
clearly how easily they
could be explained by
supposing that the earth
revolved round the sun
and turned on its axis,
instead of its being the
sun and the heavens that
moved. He spent many
years in writing a great
work in which this view
was set forth, and all the
calculations growing out
of it were made. But he was so modest and so fearful of the
prejudice that might be excited by a new system that he
resisted all the entreaties of friends to publish his book, until
he was about seventy years old. Then it was printed un<lrr
the title De Revolutionib'us Orbium Ccelestium. Copernicus died
in the year 1543, on the very day that he received the first
printed copy of his book.

The system here set forth, which we now know to be the
true one, is commonly called the Copemican System. Sometimes
it is called the Heliocentric System because it makes the sun
the center of motion; while the old Ptolemaic one is called
the Geocentric System because the earth is the center of motion.

FIG. 119. — Copernicus.

A BRIEF HISTORY OF ASTRONOMY

229

For a hundred years after the death of Copernicus his sys-
tem was not generally accepted. The Church authorities
feared that it was contrary to the Scriptures, and so were dis-
posed to forbid its being taught as a truth, although they were
willing astronomers should use it in their calculations, merely
assuming it to be true. About 1620 Galileo was tried and
imprisoned for publishing books in which the truth of the
system was set forth. But
this did not prevent in-
telligent men from believ-
ing in it.

About 1580 arose a
celebrated astronomical
observer, Tycho Brahe.
He built a great observa-
tory at a place which he
called Uraniberg, on an
island near Copenhagen.
Through the patronage of
the king of Denmark he
was enabled to fit up his
establishment with instru-
ments of a size and pre-
cision before unknown.
Unfortunately he did not
fully accept the Coperni-
can system of astronomy,

and in consequence his fame is not so great as it otherwise
would be. What is still more unfortunate is that the tele-
scope had not then been invented, and consequently his obser-
vations were not exact enough to be of use to his successors.
Yet by their aid Kepler, who was a contemporary of Galileo,
showed that the orbit of Mars round the sun was an ellipse,
having the sun in one of its foci. Hence the laws of motion
of the planets in ellipses, which we have already mentioned,
are called Kepler's laws.

FIG. 120. —Kepler.

230

ASTRONOMY

About 1680, as we have already said, Sir Isaac Newton showed
that the motions of the heavenly bodies could be all explained
by the theory of universal gravitation. English philosophers
accepted this view immediately, but those on the continent of
Europe were slow to follow. Descartes, another philosopher,
claimed that the planets were carried around the sun, and the

satellites round the plan-
ets, by their floating in an
etheral medium which was
kept in rotation like a
whirlpool. Hence this
view is called the theory
of vortices. It was exten-
sively held, but was at
last abandoned when it
became clear that the cor-
rect theory was that of
gravitation. It now be-
came a very interesting
problem with mathemati-
cians to demonstrate math-
ematically how the planets
ought to move under the
influence of the sun's at-
traction combined with
their attraction on each other. One of the greatest men in this
work was Laplace, who lived at Paris during the latter part of
the eighteenth and the beginning of the nineteenth century.
He published a great work called the Mtcanique C&este, in
which the methods of solving the problem were set forth.

Let us again mention the four greatest books in which the
laws of the celestial motions have been expounded : —
Ptolemy's Syntaxis, commonly called Almagest;
Copernicus De Revolutionibus Orbium Coelestium;
Newton's Principia;
Laplace's Mdcanique Celeste.

FIG. 121. — Sir Isaac Newton.

A BRIEF HISTORY OF ASTRONOMY

231

FIG. 122. — Galileo.

Observational Astronomy.
— We may now say some-
thing of the history of tele-
scopes and observational
astronomy. Before the time
of Galileo, astronomers had
to make all their observa-
tion? with the naked eye,
and with very crude and
very inaccurate instru-
ments. The first telescopes
were made in Holland
about the year 1608; but
they were only very imper-
fect little spyglasses, and it
does not seem that their

makers ever thought of looking at the heavens with them.
The telescope is commonly thought to have been reinvented

by Galileo, who heard
that such an instrument
had been made in Hol-
land, and began to study
how it must have been
constructed. Whether he
really invented it over
again without help, in this
way, or whether he saw a
description of it is not
certain. What is certain
is that he was the first
person to explain its prin-
ciples, and to point it at
the heavens and show
what wonders it would
make known to men.
FIG. 123. -Laplace. With his little install-

232

ASTRONOMY

ments, poor as they were, he saw that the Milky Way was
made up of countless stars. He also saw the phases of
Venus, which proved that the planet was a dark globe which
we see by the light of the sun. He saw the rings of Saturn
projecting from the planet like two little handles, but could
not see that they were rings. He saw the satellites of Jupiter,
and found that they revolved round Jupiter as the planets

did round the sun.

Huyghens, who nour-
ished during the latter
half of the seventeenth
century, was the first to
show the true form of the
rings of Saturn.

The telescope has been
gradually perfected and
enlarged from the time of
Galileo until the present.
The greatest step forward
was made by the cele-
brated Sir William Her-
schel, who observed in
England during the latter
part of the eighteenth cen-
tury. He made reflect-
ing telescopes many times
larger than any before
made, and nearly as large as any made up to our time. With
them he studied the starry heavens, and made greater discov-
eries than any one had done before him.

The first maker of an achromatic telescope was Dollond of
London, who worked about 1760. But his glasses were only a
few inches in diameter, because the art of making flint glass of
good quality had not then been mastered. During the early
part of the nineteenth century the most celebrated maker of
refracting telescopes was Fraunhofer, of Germany. During its

FIG. 124. — Sir William Herschel.

ASTRONOMICAL WORK AT THE PRESENT TIME 233

later part, from 1860 to 1890, the place of Fraunhofer was
taken by Alvan Clark, of Cambridgeport, Massachusetts, and
his two sons, Alvan and George. We have already spoken of
the object glasses made by this family. Now, there are many
able constructors of large telescopes in Europe and America.

ASTRONOMICAL WORK AT THE PRESENT TIME

The application of the spectroscope to astronomical observa-
tion, which commenced about the year 1860, has given rise to
a new branch of astronomy known as astrophysics. This
branch has been powerfully reenforced by the application of
photography to astronomical observation. A telescope may
be used like a very large camera. If we point it at the heav-
ens and then place a sensitized plate in its focus, as the pho-
tographer puts such a plate in the focus of his camera, we
may take a picture of any heavenly body at which the tele-
scope is pointed. If we point the photographic telescope at the
sky during the night, and make it follow the stars in their
diurnal motion, we may thus take a picture of the stars in the
field of view. The number of stars on the plate will depend
on the length of the exposure. It is found that when the
telescope is so set as to follow the diurnal motion of the stars
very exactly, the image of the same stars may be kept on the
same point of the plate during a period of several hours. In
this case photographs will be found of many more stars than
the eye can see with the same telescope. In other words, the
power of the telescope is greatly increased by the extreme
sensitiveness of the photographic plate.

We have already spoken of some remarkable nebulae found
in this way which would never have been known had we
depended on the eye alone. Photography is now applied with
success to spectroscopy by throwing the spectrum of a star
upon a sensitized plate. A photograph can thus be made of a
spectrum which the eye could scarcely see. This photograph
can be studied by the astronomer at his leisure, and many con-

234 ASTRONOMY

elusions deduced from it which he would not be able to deduce
by a study of the spectrum itself with his eye.

It is possible to discover new objects in the heavens by pho-
tography with much greater facility than by the eye. We
have already seen how minor planets are discovered by photog-
raphy. No astronomer now attempts to find them in any other
way. He simply points his telescope at any region of the
heavens near the ecliptic, starts its clockwork so that it shall
exactly follow the stars, and takes his photograph by an expo-
sure of several hours. Then, if there is any planet in the field
of view, it will not be photographed as a star, which is a mere
point, but as a short line. This is because the planet has
moved on the celestial sphere and left its trace upon the plate.

During an eclipse of the sun a few years ago, the impression
of a little comet was found on the photographic plate, in the
immediate neighborhood of the sun. What became of it is not
known, because it was never seen by the eye. In one case a
comet was actually discovered by photography and afterward
observed by the eye.

In 1887 an arrangement was made among a number of
observatories in the northern and southern hemispheres to
make a complete photographic map of the heavens. To each
observatory a certain region of the heavens was assigned.
When this work is completed there will exist a set of several
thousand photographs showing the starry heavens as they
were about the end of the nineteenth century. How many
millions of stars may be impressed on these plates we cannot
yet say. Each region is photographed twice in order that
there may be no doubt of the existence of anything that looks
like a star on the photographic plate. Were only one plate
taken, it is possible that sometimes a speck might be mistaken
for a star. But if the same speck appears on two plates, then
we know that a star must have been there. If then, at any
future time, another photograph of the region is taken, it can
be determined whether any star has disappeared or whether
a new one has come into sight

ASTRONOMICAL WORK AT THE PRESENT TIME 235

Quite separate from this international work is that of the
Harvard Observatory at Cambridge, Massachusetts. Here a
constant watch is kept on the heavens every clear night by a
moving photographic telescope, which records automatically
any new object as bright as the sixth magnitude that may
come into view. Photographs of large regions of the heavens
are also taken very often, so that changes in the brightness of
the stars or planets before unknown may be detected.

Ever since the beginning of their science astronomers have
been studying the motions of the heavenly bodies with a view
of establishing the laws that govern them and the causes that
may change them, and tracing the conclusions that may thus be
drawn respecting the structure of the universe. We have told
the main results in the preceding chapters of this book, but
there are many important questions which we have not had
time to discuss or explain. One is, whether the motions of the
planets are influenced by any force except the gravitation of
the sun and of the other planets. Mathematical methods have
been brought to such perfection that the astronomer, when
aided by exact observations, can predict the path which a
planet ought to follow in consequence of the attraction of all
known bodies, with great exactness, for many years ahead.
Then, comparing his conclusions as to the place of the planet
with observations, he can see whether his predictions are cor-
rect. If they are, he knows that the theory on which they are
based is true. If the predicted positions do not agree with
observation, he investigates the cause. We have seen what a
brilliant result was thus obtained in the discovery of the planet
Neptune.

There are some cases in which success has not yet been
reached. We recall that the orbits of all the planets slowly
change their positions in consequence of the attraction of each
planet on all the others. It is found that the perihelion of
Mercury changes its position somewhat more than it should
in consequence of the attraction of the other planets. For some
time it was supposed that this might be due to the attraction

236 ASTRONOMY

of unknown planets between Mercury and the sun. But it is
now made almost certain that no planets of sufficient mass to
produce the effect can exist. The cause of the motion is there-
fore still unknown.

It is also found that the motion of the moon changes very
slowly and slightly from one century to another, sometimes
going a little ahead, sometimes falling a little behind. The
cause of these deviations has not yet been discovered.

Altogether, although so much has been learned about the
heavenly bodies, there is still so much left to leai'n that the
most advanced astronomer must feel as if he were only at
the threshold of his science.

INDEX

Including references to definitions of the technical terms used in this book

Aberration, 60, 78, 79.

Absorption, selective, 74.

Achromatic, 61.

Aldebaran, the star, 199.

Almagest of Ptolemy, 225.

Altitude, 16.

Andromeda, the constellation, 195.

Angle of the vertical, 91.

Annual motion, 34.

Annual parallax, 209.

Annular eclipse, 129.

Annulus, 129.

Antarctic circle, 36.

Antipodes, 11.

Aphelion, 142.

Apogee, 120.

Apparent diameter, 74.

Apparent motion, 20.

Apparent noon, 51.

Apparent time, 51.

Apparition, circle of perpetual, 26.

Arctic circle, 36.

Aspects of a planet, 146.

Asteroids, 144.

Astronomical latitude, 91.

Astronomical refraction, 58.

Astronomical time, 139.

Astrophysics, 233.

Atmosphere, 100.

Atmospheric refraction, 58.

Auriga, the constellation, 195, 198.

Autumnal equinox, 37, 41.

Axis, 11.

Axis, declination, 63; polar, 63.

Base line, 94.

Bayer, system of naming stars, 196.

Betelguese, the star, 200,

Binary systems, 216, 219.
Body, 80.

Calendar, 133 ; Gregorian, 135; Julian,
135.

Canals on Mars, 157.

Cancer, tropic of, 36.

Canis Major, the constellation, 200.

Canis Minor, the constellation, 200.

Capella, the star, 198.

Capricorn, tropic of, 37.

Cassiopeia, the constellation, 195, 197

Castor and Pollux, 200.

Celestial equator, 21.

Celestial horizon, 17.

Celestial poles, 21.

Celestial sphere, 12.

Central eclipse, 128.

Centrifugal force, 89.

Chromatic aberration , 60.

Circle, antarctic, 36; arctic, 36;
meridian, 70.

Circle of perpetual apparition, 26.

Circle of perpetual occultation, 28.

Circumpolar, 197.

Civil time, 50, 139.

Clark, Alvan, 66, 233.

Clock, sidereal, 49.

Clusters of stars, 195.

Collimator, 72.

Coma of a comet, 176.

Comet, Biela's, 185 ; description of a,
176 ; Donati's, of 1858, 182 ; Encke's,
183; Halley's 180; great, of 1843,
182 ; great, of 1882, 183 ; periodic, 177.

Comets, constitution of, 185 ; orbits of,
178 ; remarkable, 180 ; telescopic, 177.

Conjunction, 117, 147.

237

238

INDEX

Constant of aberration, 79.
Constellation, 195.
Coperuican System, 228.
Copernicus, work of, 228.
Corona of sun, 130.
Counter-glow, 102.
Crystalline sphere, 227.
Cycle, Metonic, 137; solar, 138.

Day, 11, 133; sidereal, 49.

Declination, 28.

Declination axis, 63 ; parallel of, 30.

Diameter, apparent, 74.

Direct motion, 148.

Dispersion, 58.

Distance, apparent, 13; linear, 13;

mean, 141.
Diurnal motion, 20.
Dollond, 232.
Dominical letter, 137.
Double stars, 216.
Draco, constellation, 197.

Earth, magnitude of the, 90.

Easter Sunday, 134.

Eastern time, 54.

Eccentricity, 141.

Eclipse, partial, 125.

Eclipses of the moon, 124.

Eclipses of the sun, 126.

Ecliptic, 39 ; obliquity of the, 35 ; plane

of, 35 ; pole of the, 46.
Ellipticity, 90.
Elongation of a planet, 146.
Equation of time, 51.
Equator, 11 ; celestial, 21 ; of the sun,

108; plane of the, 20.
Equatorial telescope, 62.
Equinox, autumnal, 37, 41 ; vernal, 3(5.
Equinoxes, precession of the, 45.
Equinoxial year, 44.
Eros, the planet, 101.
Eyepiece, 61.

Field of view, 62.

Focal length, 60.

Focus of an elipse, 141.

Force, 80; centrifugal, 89.

Fraunhofer, 66, 232.

Friction, 80.

Full moon, 119; Paschal, 134.

Galileo invents telescope, 231.
Gegenschein, 102.
Gemini, constellation, 200.
Geocentric latitude, 92.
Geocentric System, 228.
Geodesy, 93.
Georgium sidus, 172.
Geographical latitude, 91.
Geoid, 90.
Gibbous, 118.
Golden number, 137.
Gravitation, universal, 83.
Gravity, 10, 81.
Gregorian Calendar, 135.

Head of a comet, 176.
Heliocentric System, 228.
Hemisphere, invisible, 19; visible, 19.
History of Astronomy, 225.
Horizon, celestial, 15; dip of, 16;

plane of , 15.

Horizontal parallax, 76.
Hour circle, 28, 30.
Hyades, 199.
Hypothesis, nebular, 224.

Image, 60.

Inertia, 82.

Inferior conjunction, 147.

Inferior planets, 144.

Invisible hemisphere, 19.

Julian Calendar, 135.
Jupiter, the planet, 162 ; satellites of,
165 ; surface of, 163.

Kepler, work of, 229.
Kepler's laws, 141.

Latitude, astronomical, 91 ; geocentric,
92 ; geographical, 91 ; parallel of, 30

Letter, Dominical, 137.

Libration, 120.

Light, zodiacal, 101.

Line, of nodes, 126, 153; of sight, 62;
of total eclipse, 127.

Line, vertical, 17.

Linear distance, 13.

Local time, 53.

Longitude, telegraphic, 97.

Lunar month, 134.

INDEX

239

Major planets, 142.

Mars, canals of, 157; the planet, 156;

rotation of, 159; satellites of, 159;

supposed inhabitants of, 159.
Mass, 84.
Matter, 80.

Maximum of a variable star, 213.
Mean distance, 141.
Mean noon, 51.
Mean sun, 51.
Mean time, 51.
Mercury, the planet, 151 ; transits of,

153.

Meridian, 22.
Meridian circle, 70.
Meteoric showers, 188.
Meteoroids, 187.
Meteors, 187.
Metonic cycle, 137.
Mecanique Celeste, Laplace's, 230.
Mile, nautical, 93; statute, 93.
Minimum of a variable star, 213.
Minor planets, 144.
Moon, eclipse of the, 124.
Motion, annual, 34; apparent, 20;

direct, 148; diurnal, 20; laws of, 81 ;

proper, 192; relative, 10; retrograde,

148.

Mountain time, 54.
Mounting, 02.
Month, lunar, 134.

Nadir, 16.

Nautical mile, 93.

Neap tides, 123.

Nebula, 221.

Nebular hypothesis, 224.

Neptune, the planet, 173 ; satellite of,

174.

New moon, 118.
New style, 136.
Newton, Sir Isaac, 83, 230.
Nodes, 126 ; line of, 153.
Noon, apparent, 51 ; mean, 51.
Noon, sidereal, 49.
Nucleus, 106, 176.

Object glass, 61.

Objective, 61.

Obliquity of the ecliptic, 35.

Occultation, circle of perpetual, 28.

Olbers's hypothesis, 160.
Old style, 136.
Opposition, 147.
Orbits of the planets, 163.
Orion, the constellation, 200.

Parallax, 75, 76, 209.

Parallel, of declination, 30, of lati-
tude, 30.

Partial eclipse, 125.

Pacific time, 54.

Paschal full moon, 134.

Pegasus, square of, 204.

Penumbra, in eclipse, 123 ; of sua spot,
106.

Perigee, 120.

Perihelion, 142.

Period, of a binary star, 217, of a va-
riable star, 213.

Periodic comet, 177.

Periodic stars, 213.

Periodic time, 141, 144.

Perseids, 190.

Perturbations, 150. •

Phases, of an eclipse, 129; of a vari-
able star, 213.

Photography, celestial, 233.

Photosphere, 104.

Plane, of the ecliptic, 35; of the equa
tor, 20.

Planet, primary, 144.

Planets, 33 ; 191 ; inferior, 144 ; major,
142; minor, 144; relative size of,
143 ; secondary, 144 ; superior, 144.

Pleiades, 199.

Polar axis, 63.

Poles, 11 ; celestial, 21 ; of the ecliptic,
46; of the sun, 107.

Polestar, 24.

Precession of the equinoxes, 45.

Primary planet, 144.

Principia of Newton, 230.

Procyon, the star, 20Q.

Prominences of the sun, 109.

Proper motion, 192.

Ptolemaic System, 225.

Radiant point, 188.
Radius vector, 141.
Reflecting telescope, 64.
Refraction, 5(5, 58.

240

INDEX

Relative motion, 10.

Retrograde motion, 148.

Revolution, sidereal, 117 ; synodic, 118.

Rigel, the star, 200.

Right ascension, 29.

Saturn, the planet, 167 ; views of, 167 ;

satellites of, 170.
Secondary planets, 144.
Secular variations, 150.
Selective absorption, 74.
Semidiameter, 75.
Shadow, 123.
Shadow cone, 123.
Shooting stars, 187.
Showers, meteoric, 188.
Sidereal clock, 49.
Sidereal day, 49.
Sidereal noon, 49.
Sidereal revolution, 117.
Sidereal time, 49.
Sidereal year, 45.
Signs of the zodiac, 40.
Sirius, the star, 200.
Solar cycle, 138.
Solar spectrum, 71.
Solar system, 33.
Solar year, 44.

Solstice, summer, 41 ; winter, 41.
Spectroscope, 71.

Spectroscopic binary systems, 219.
Spectrum, 71 ; of a star, 71 ; solar, 71.
Spectrum analysis, 71.
Sphere, celestial, 12.
Spring tides, 122.
Standard time, 53.
Stars, shooting, 187; telescopic, 192.
Stationary, 148.
Statute mile, 93.
Style, new, 136; old, 136.
Sun distance, 145.
Sun, eclipses of the, 126; mean, 51;

corona of, 129; density of, 102;

equator of, 108; heat of, 105; mass

of, 105; rotation of, 107; spots on,

106.
Superior conjunction, 147.

Superior planets, 144.
Synodic revolution, 118.
Syntaxis of Ptolemy, 225.

Tail of a comet, 176.

Taurus, the constellation, 198.

Telegraphic longitude, 97.

Telescope, equatorial, 62.

Telescopic comets, 177.

Telescopic stars, 192.

Tidal waves, 121.

Tides, 121-123.

Time, apparent, 51 ; astronomical, 139,
central, 54; civil, 50, 139; eastern,
54; equation of , 51 ; local, 53; mean,
51; Pacific, 54; periodic, 141, 144;
mountain, 54 ; sidereal, 49.

Total eclipse, line of, 127.

Transit instrument, 68.

Tropic, of Cancer, 36; of Capricorn,
37.

Tycho Brahe, observations of, 229.

Umbra, of sun spot, 106.

Uranus, the planet, 172 ; satellites of,

172.

Ursa major, the constellation, 195, 197.
Ursa minor, the constellation, 197.

Variable stars, 213.

Variations, secular, 150.

Venus, the planet, 153; rotation of,

155 ; transits of, 155.
Vernal equinox, 36.
Vertical, angle of the, 91
Vertical line, 17.
Vector, radius, 141.

Waves, tidal, 121.
Weight, 84.

Year, equinoxial, 44; sidereal, 45;
solar, 44.

Zenith, 16; distance, 17.
Zodiac, 39 ; signs of, 40.
Zodiacal light, 101.

YB 35975

ZBUC

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