Skip to main content

Full text of "Tables of Parthenope. Computed for the American ephemeris and nautical almanac"

See other formats


1?/v/. 



^ 



TABLES 



OF 



PARTHENOPE, 



BY 



E. SCHUBERT 



COMPUTED FOR THE 



AMERICAN EPHEMERIS AND NAUTICAL ALMANAC. 



BUREAU OF NAVIGATION, 

WASPIINGTON. 

18T1. 




J<3/ 



'^^ 



Cornell University 
Library 



The original of this book is in 
the Cornell University Library. 

There are no known copyright restrictions in 
the United States on the use of the text. 



http://www.archive.org/details/cu31924012314054 



Cornell University Library 
QB 378.P3S38 



Tables of Parthenope.Computed for the Am 





3 1924 012 314 054 „„..,.i 



cmeotwn <^ me c^Suieau o^ ,^>T<Z'iieaa^ibn_, ana 
ii/mi me cmn/tmnen^d o/ 

\. N., 

ta 



PROF. J. H. C. COFFIN, U. S. N., 



^endem o/ me fSm/iekcan W/i/iemekJ an^ 



''manac. 



^ 




r 



c%.^^ 0('^ 



/ 



TABLES 



OF 



PARTHENOPE, 



BY 



E. SCHUBERT. 



COMPUTED FOR THE 



AMERICAN EPHEMEEIS AND NAUTICAL ALMANAC. 



BUREAU OF NAVIGATION, 
WASHINGTON. 

1871. 



- 


INTEOBUCTION. 






TN the construction 
Saturn, published 


of these Tables some twenty of the smaller terms of the pertur 


Dations by Jupiter and 


in No. 1761 of the " Astronomische Nachrichten," have been omitted, since the effect 


of them upon the final result is almost everywhere nearly zejo. 






Denoting the arguments in the following manner : — 






I = — 


M' 


XI = — M" XXI = 


3M 


— 4Jf' 


II = 2 M — 


3M' 


XII = M— M" XXII = 


2M 


— 5M' 


m= M— 


3M' 


XIII = 2U— M" XXIII = 


M 


— 6M' 


IV = M — 


M' 


XIV = M—2'M" XXIV = 


3M 


— 5M' 


V = M — 


2 M' 


XV = — M—3M' XXV = 


4:M 


— 5M' 


VI = 2M — 


M' 


XVI = 4Jlf— Sikf' XXVI = 


M 


— 5M' 


VII = 3M — 


2M' 


XVII = — 2M— 3M' XXVII = 


— 2M 


— M' 


vm = _ M— 


M' 


XVIII = — M—2M' XXVIII = 


bM 


— 2M' 


IX = M 




XIX = M—AM' XXIX = 


AM 


— M' 


X = 3 M — 


M> 


XX = bM—3M' XXX = 


— M 


— M" 


The perturbations by Jupiter 


and Saturn, retained for the construction of the Tables, in units of the 


sixth decimal are : — • 












fi 


Vl 


fi 


cos 


sin 


•cos 


sin 


cos 


^ sin 


M 




- nmt 




- 134.234 




+ 


4.22t 




1 M 




- 0.754 


+ 69.974 


- 87.874 


- 1.334 


- 


28.274 


+ 0.794 


2 M 




+ 5.254 


+ 51.694 


- 51.924 


+ 5.234 


- 


1.404 


+ 0.044 


3 M 




+ 0.784 


+ 7.724 


- 7.444 


+ 0.784 


- 


0.104 




4 M 




+ 0.104 


+ 0.964 


0.964 


+ 0:104 




0.014 




5 JIf 




+ 0.014 


+ 0.124 


- 0.114 


+ 0.014 








I 




+ 607.1 


+ 924.2 


f 933.1 


- 600.5 


+ 


20.6 


- 14.8 


2 I 




+ 694.5 


- 1272.7 


- 1269.2 


- 690.7 




15.3 


- 12.3 


3 I 




-3832.4 


-15443.2 


-15398.8 


+3818.4 


- 


27.3 


+ 11.5 


4 I 




+ 1.1 


- 10.8 


- 10.8 


- 1.1 








5 I 




0.0 


2.3 


2.3 


0.0 








6 1 




+ 1.4 


+ 6.7 


+ 6.7 


- 1.3 






• 


II 




+3682.2 


+14639.1 


-14575.4 


+3198.5 


- 


63.8 


342.7 


2 II 




+ 16.3 


- 11.0 


+ 17.0 


+ 7.2 








in 




-3783.1 


- 3604.« 


- 3648.8 


+3783.2 


+ 


18.4 


+ 45.3 


2 III 




- 41.8 


+ 23.4 


+ 25.1 


+ 30.9 













ft 




Vi 


?. 








COS 


sin 


COS 


sin 


COS 


sin 




IV 


+ 22.9 


- 108.6 


+ 124.0 


+ 31.6 


- 3.0 


+ 7.7 




2 1V 


- 434.5 


+ 774.0 


- 739.0 


- 412.4 


+ 4.5 


- 0.9 




3 IV 


+1576.5 


+2644.5 


-2641.9 


+1568.3 


- 2.7 


- 17.3 




4 IV 


7.0 


+ 18.8 


- 17.7 


^ 10.2 








5 IV 


- 0.7 


+ 2.5 


0.9 


- 1.1 








V 


+ 620.1 


-1521.7 


-1532.5 


- 555.5 


+ 38.5 


+ 17.5 




2V 


+ 24.3 


- 67.9 


- 87.3 


- 5.5 


+ 8.5 


+ 4.0 




3V 


+ 4.0 


- 66.7 


+ 55.3 


+ 2.6 


- 4.9 


- 1.2 




4V 


- 1.3 




- 0.5 










VI 


- 280.9 


- 444.6 


+ 442.2 


- 279.2 


+ 9.0 


- 6.3 




2 VI 


- 29.7 


+ 73.6 


- 73.4 


- 29-6 








3 VI 


+ 2.8 


+ 5.2 


- 5.2 


+ 2.8 








VII 


195.3 


+ 466.6 


- 464.E 


- 194.5 


+ 2.6 


+ 0.8 




2 VII 


0.9 






- 0.9 








VIII 


+ 24.6 


+ 152.2 


+ 151.6 


24.9 


+ 7.9 


- 0.6 




2 VIII 


+ 3.5 


- . 10.8 


- 10.8 


- 3.5 








3 VIII 


- 4.5 


- 19.3 


- 19.2 


+ 4.6 








OIX 


- 3.8 




+ 10.7 




+ 1.1 






IIX 


+ 170.0 


- 0.6 


- 1.0 


+ 159.7 




+ 9.1 




2 IX 


+ 16.4 


- 7.1 


+ 7.0 


+ 16.3 




+ 1.4 




3 IX 




- 0.9 


+ 0.9 










X 


- 37.1 


.- 61.7 


+ 61.5 


- 37.6 








2X 


- 0.5 


+ 1.2 


- 1.2 


- 0.5 








XI 


- 29.8 


+ 29.5 


+ 33.2 


+ 35.7 








2X1 




+ 48.2 


+ 48.2 










3X1 


+ 2.5 


+ 13.0 


' + 13.0 


- 2.9 








XII 


+ 3.8 


+ 9.0 


- 10.6 


+ 2.8 








2 XII 




- 19.9 


+ 20.0 










3 XII 


0.8 


- 2.5 


+ 2.5 


- 0.7 








XIII 


+ 12.8 


11.1 


+ 11.0 


+ 12.8 








2 XIII 




- 1.1 


+ 1.1 










XIV 


+ 4.3 


+ 22.1 


+ 23.1 


+ 1.^ 








2 XIV 


- 0.9 


- 0.6 




+ 0.8 








XV 


- 368.2 


-1501.3 


-1498.5 


+ 367.3 


1.4 


+ 0.6 




XVI 


+ 196.2 


+ 346.7 


- 346.6 


+ 195.8 








XVII 


- 40.6 


- 166.2 


- 166.0 


+ 40.5 








XVIII 


+ 39.7 


- 105.2 


- 105.2 


- 39.8 


- 0.8 


- 1.0 



XIX 

XX 

XXI 

xxii 

XXIII 

XXIV 

XXV 

XXVI 

XXVII 

XXVIII 

XXIX 

XXX 



+101.9 
+ 22.4 

- 13.3 

- 26.2 

- 5.7 
+ 16.6 
+ 5.4 

- 1.0 
+ 1.3 

- 4.0 

- 4.7 

- 5.3 



59.8 
+ 42.4 
+ 52.7 

- 15.6 
+ 67.9 
+ 7.2 
+ 16.7 

- 22.8 
+ 16.8 
+ 10.2 

- 7.8 

- 6.1 



Vi 



- 62.3 

- 42.0 
+ 1.4 

17.9 
+ 67.4 

- 19.8 
+ 5.4 

- 22.8 
+ 16.9 

- 9.9 
+ 7.9 

5.9 



-100.0 
+ 22.1 
73.2 
+ 25.7 
+ 6.7 
- 17.0 



7.4 
I'l 
1.2 
3.9 
4.7 
5.4 



- 1.8 
+ 4.3 



- 0.9 
+ 1.1 



1.3 

4.0 

3.5 



Normals referred to the mean equinox 1850.0. 



Berlin M. T. 



Berlin M. T. 



1850 May 31.0 

1851 October 22.0 

1853 February 7.0 

1854 June 3.0 

1855 November 9.0 

1857 February 20.0 

1858 June 18.0 



o / // 

225 57 33.5 

28 46 48.3 

141 50 9.9 

252 46 36.7 

49 49 12.4 

158 10 19.5 

281 16 13.4 



o / .;/ 
- 9 48 27.9 

+ 3 20 40.6 

+16 50 37.7 

-16 53.0 

+10 32 47.2 

+12 58 7.7 

-18 50 29.8 



1859 December 

1861 March 

1862 July 

1863 December 

1865 March 

1866 August 
1868 January 



2.0 
13.0 
26.0 

8.0 
28.0 
24.0 

3.0 



67 40 6.8 
172 44 43.7 
306 21 31.2 

88 56 39.5 
189 4 52.7 
334 30 24.6 
103 56 14.8 



o / /; 
+15 31 7.3 

+ 8 55 54.5 

-19 3 26.1 

+18 36 38.2 

+ 3 18 58.3 

-14 35 2.7 

+20 3 8.3 



Elements. 
1850, Jan. 0, Washington Mean Time. 



M = 250 52 17.3 
t: = 316 46 46.3 

Q, = 124 58 43.9 
i= 4 37 32.1 



\ M. Eq. Ep. 



o / // 

p = 5 45 40.4 
fi = 923".8703 
log a = 0.389597 



Example for computing a Place from the Tables. 
1870, September 20.5, Berlin M. T. = September 20, b'^ 58" 15= Washington M. T. 
In the first place we have to write down the constants to be used : — 



From Table II., 
From Table V., 



lege 




log 


1 — c 


\ogp 


9.001660 




9.912513 


0.385199 


cos (Xi x) 


cos (iji X) 




cos (Zi x) 


cos (xi y) cos {yi y) 


9.864213 


9.831649 




8.818516 


9.791508W 9.845887 


cos (zi y) 


cos [Xi z) 




qos -{yi z) 


cos (Zj z). 


9.549 lllw 


9.457092« 




9.339004 


9.969831 







JV B' 


C log sin a 


log sin b 


log sin o 






a 1 II 1 II 


o 1 II 






And from Table VI., 


47 8 45.9 318 34 39.4 


307 18 16.4 9.999056 


9.970910 9.556492 1 


M = mean anomaly ; t 


= time since 1850.0. 








From Table I., 


M 


t 










o 1 


II 


O 


/ // 




1870 


325 33 29.84 +20.0000 


cotJJf 16 


33 28.8 


0.526783 


Septembei 


62 21 


40.48 0.6653 ^ " « c 
57.40 0.0548 ^ + ^ 


ot J ilf = cot ^ V 19 


59 4.8 


0.439296 


20 days 


5 7 


V' 39 


58 9.6 




- 5 hours 


3 


12.47 0.0006 


From Table II. c + 


16 51.6 




58 minutes 




37.21 


V 40 


7 1.2 




15 seconds 




0.16 




cos V 
e cos V +0.076766 


9.883508 

8.885168 


33 6 


57.56 +20.7207 








1 + e cos t) 1.076766 


0.032121 








r 




0.353078 






Formation of the Arguments from Tahle III.* 








1. 


II. 


III. 


IV. 


V. 


VI. 


VII. 


VIII. 


IX. 


X. 


1870 . . . 


324.734 


185.318 


219.760 


290.292 


255.03 


255.85 


186.14 


359.17 


325.56 


221.41 


September . . 


339.814 


64.152 


1.796 


42.158 


21.99 


. 104.54 


146.70 


277.45 


62.34 


166.89 


20 days . . . 


3S8.338 


5.280 


0.148 


3,470 


1.81 


8.60 


12.07 


353.20 


5.13 


13.74 


6 hours . . . 


359.979 


0.066 


0.002 


0.043 


0.02 


0.11 


0.15 


359.92 


6.06 


0.17 


302.865 


254.816 


221.706 


335.963 


278.85 


9.10 


345.06 


269.74 


33.09 


42.21 




XI. 


XII. 


XIII. 


XIV. 


XV. 


XVI. 


XVII. 


XVIII. 


XIX. 


XX. 


]870 .... 


191.6 


157.2 


122.8 


348.8 


288.6 


116.4 


323.1 


323.9 


184.5 


82.0 


September . . 


351.9 


54.2 


116.6 


46.1 


237.0 


188.9 


174.7 


257.2 


341.6 


251.2 


20 days . . 


359.3 


4.5 


9.6 


3.8 


349.9 


15.5 


344.8 


351.6 


358.5 


20.7 


182.8 


215.9 


249.0 


38.7 


155.5 


320.8 


122.6 


212.7 


164.6 


353.9 




xxr. 


XXII. 


XXIII. 


XXIV. 


XXV. 


XXVI. 


XXVII. 


XXVIII. 


XXIX. 


XXX. 


1870 .... 


116 


115 


114 


80 


46 


149 


34 


117 


187 


226 


September . . 


106 


24 


301 


86 


148 


321 


215 


271 


229 


289 


20 days . . . 


9 


2 


355 


7 


12 


357 


348 


22 


19 


354 


231 


141 


50 


173 


206 


107 


237 


50. 


75 


149 


* The argumen 


ts being exp 


ressed in degrees and decimals, 3( 


iO.O, 720.0, or 1080.0 must b 


3 subtraeted 


when one of the 


sums is greater th 


an one of tl 


lose numbers. 













f 


v' 


f 






Terms with t 


+ 
1632.8 


- 


+ 


4372.1 


+ 


404.5 


COB (Xi X) f 


- 3188.2 






1 


6515.5 


15112.1 


16829.6 




66.3 




COB {yi x) n' 


+ 8842.8 






II 
III 


5241.2 




718.2 
237.5 




347.5 


44.0 


COS (Zi x) f 


1.4 






+ 5653.2 




IV 

V 

VI 

VII 

VllI 


1533.8 


2851.1 

347.5 
308.0 
175.0 


375.5 
310.8 

39.4 


2379.5 
399.3 


13.4 

7.7 


19.3 


COS {Xi y) f 
cos (2/1 y) n' 
COS (zi y) f 

V 


+ 2696.7 
+ 9137.5 
+ 7.6 






+11841.8 




IX 


137.3 




114.7 




7.2 




COS (aji 2) f 


+ 1248.6 






X 




67,6 


20.0 








COS (2/1 z) n' 


+ 2844.1 






XI 
XII 


28.8 


25.0 


0.4 
14.4 








cos (Zi z) f 


- 20.2 






+ 4072.5 




XIII 

XIV 

XV 

XVI 

XVII 


5.0 
16.4 


288.3 

65.7 

119.0 


16.6 

19.8 

1513.8 


392.3 


1.5. 




sin {A' + v) 
r sin a 

X 


87 li i-i'.l 


9.999505 
0.352134 
0.351639 






122.7 






sin (B' + V) 


358 41 40.6 


8.357580™ 




XVIII 


23.9 




109.7 




1.2 




r sin b 




0.323988 




XIX 




113.5 


34.1 




1.4 




y 




8.681568™ 




X|X 


17.9 






44.0 














XXI 




32.6 


56.0 








sin (C' + v) 


347 25 17.6 


9.338011re 




XXII 


10.0 




30.2 








T sin c 




9.909570 




XXIII 
XXIV 


48.3 


15.6 


48.4 
17.9 








z 




9.247581 n 










XXV 




12.4 




8.2 






y 


- 0.048036 






XXVI 




21.5 


7.7 








V 


+ 11842 






XXVII 




12.8 




8.1 






Y 


+ 0.036089 






XXVIII 
XXIX 


5.6 


8.6 




9.0 
2.6 






A cos (5' sin a' 

X 


- 0.000105 


6.021189™ 




+ 2.247185 






XXX 


1.5 




7.6 








X 

A cos d' COS a' 
cos a' 


+ 5653 
- 1.002746 
+ 1.250092 






?, v', f 


15218.0 19576.3 
-4358.3 


20645.0 
+ 130 


7615.1 
29.9 


446.2 

_5 


467.8 
1.6 


0.096942 




1 






0.000000 
















Reduction to the 
/ 


apparent equinox. 
+ 17!88 




tan a' 

z 


o / // 

359 59 42.7 


5.924247™ 




- 0.176840 








§■ 


0.903e 




f 


+ 4072 








G 


13 4 




Z 


+ 0.015661 








sin (G + ai) 
tan (5' 


13 9 9.357C 

9.0993 

- 0.23 9.3599 


n 


A sin (5' 
A cos d' 


- 0.157107 


9.196196™ 
0.096942 






A o' 


+ 17.65 




cos d' 




9.996597 






cos (G + a') 


9.9885 




tan d' 


-? ^4^:4 


9.099254™ 






A<5' 


+ 7.80 0.8921 
§ d 0"3 




A 




0.100345 






a = 














(! = 


-7 9 39.6 




a' and d' are referred to the mean 


equinox 1870.0 

























TABLE I. 

FOR THE MEAN ANOMALY. 

For Washington mean noon of Jan. in common years, of Jan. ] in bissextile years. 



Years. 



M 



Years. 



M 



1850 

1851 

1852 B 

1853 

1854 

1855 

1856 B 

1857 

1858 

1859 

1860 B 

1861 

1862 

1863 

1864B 

1865 

1866 

1867 

1868 B 

1869 

1870 

1871 

1872 B 

1873 

1874 

1875 



o / II 
250 52 17.30 

344 32 29.96 

78 28 6.49 
172 8 19.15 
265 48 31.81 
359 28 44.47 

93^24 21.00 
187 4 33.66 
280 44 46.32 

14 24 58.98 
108 20 35.51 
202 48.17 
295 41 0.82 

29 21 13.48 
123 16 50.01 
216 57 2.67 
310 37 15.33 

44 17 28.00 
138 13 4.52 
231 53 17.18 
325 33 29.84 

59 13 42.50 
153 9 19.03 
246 49 31.69 
340 29 44.35 

74 9 57.01 



0.0000 
+ 0.9993 
2.0014 
3.0007 
4.0000 
4.9993 
6.0014 
7.0007 
8.0000 
8.9993 
10.0014 
11.0007 
12.0000 
12.9993 
14.0014 
15.0007 
16.0000 
16.9993 
18.0014 
19.0007 
20.0000 
20.9993 
22.0014 
23.0007 
24.0000 
+ 24.9993 



1876 B 

1877 

1878 

1879 

1880 B 

1881 

1882 

1883 

1884 B 

1885 

1886' 

1887 

1888 B 

1889 

1890 

1891 

1892 B 

1893 

1894 

1895 

1896 B 

1897 

1898 

1899 

1900 B 



168 5 33.54 

261 45 46.20 

355 25 58.86 

89 6 11.52 

183 1 48.05 

276 42 0.71 

10 22 13.37 

104 2 26.03 

197 58 2.56 

291 38 15.22 

25 18 27.88 

118 58 40.53 

212 54 17.06 

306 34 29.72 

40 14 42.38 

133 54 55.04 

227 50 31.57 

321 30 44.23 

55 10 56.89 

148 51 9.55 

242 46 46.08 

336 26 58.74 

70 7 11.40 

163 47 24.06 

257 43 0.59 



+ 26.0014 
27.0007 
28.0000 
28.9993 
30.0014 
31.0007 
32.0000 
32.9993 
34.0014 
35.0007 
36.0000 
36.9993 
38.0014 
39.0007 
40.0000 
40.9993 
42.0014 
43.0007 
44.0000 
44.9993 
46.0014 
47.0007 
48.0000 
48.9993 
+ 50.0014 



Months. 



M 



D 



ays. 



M 



January 

February 

March 

April 

May 

June 

July 

August 

September 

October 

November 

December 



o 



o' o'.'oo 


7 57 19.98 


15 


8 28.35 


23 


5 48.33 


30 47 44.44 


38 45 4.41 


46 27 0.52 


54 


24 20.50 


62 21 40.48 


70 


3 36.59 


78 


56.57 


85 42 52.68 



0.0000 
0.0849 
0.1615 
0.2464 
0.3286 
0.4134 
0.4956 
0.5805 
0.6653 
0.7475 
0.8324 
0.9145 



1 

2 

3 

4 

5 

6 

7 

8 

9 

10 

20 

30 



15 23.87 
30 47.74 

46 11.61 

1 1 35.48 
1 16 59.35 
1 32 23.22 

1 47 47.09 

2 3 10.96 
2 18 34.83 
2 33 58.70 
5 7 57.40 
7 41 56.10 



0.0027 
0.0055 
0.0082 
0.0109 
0.0137 
0.0164 
0.0192 
0.0219 
0.0246 
0.0274 
0.0548 
0.0821 



In Bissextile Years one day must be subtracted from the date in the first two months. 







TABLE I. Concluded. 








FOR THE MEAN ANOMALY. 








The times are referred to the meridian of Washington. 






Hours. 


M 


t 


Hours. 


M 


t 




1 


1 II 
38.49 


+0.0001 


13 


1 If 
8 20.43 


+ 0.0015 




a 


1 16.99 


0.0002 


14 


8 58.92 


0.0016 




3 


1 55.48 


0.0003 


15 


9 37.42 


0.0017 




4 


2 33.98 


0.0005 


16 


10 15.91 


• 0.0018 




5 


3 12.47 


0.0006 


17 


10 54.41 


0.0019 




6 


3 50.97 


0.0007 


18 


11 32.90 


0.0021 




7 


4 29.46 


0.0008 


19 


12 11.40 


0.0022 




8 


5 7.96 


0.0009 


20 


12 49.89 


0.0023 




9 


5 46.45 


0.0010 


21 


13 28.39 


0.0024 




10 


6 24.94 


0.0011 


22 


14 6.88 


0.0025 




U 


7 3.44 


0.0013 


23 


14 45.37 


0.0026 




la 


7 41.93 


+0.0014 


24 


15 23.87 


+ 0.0027 






M 




M 




For Minutes. 


For Seconds. 


For Minutes. 


For Seconds. 




1 


/ 
0.64 


0.01 


31 


; 
19.89 


/; 
0.33 




2 


1.28 


0.02 


32 


20.53 


0.34 




3 


1.92 


0.03 


33 


21.17 


0.35 




4 


2.57 


0.04 34 


21.81 


0.36 




5 


3.21 


0.05 


35 


22.45 


0.37 




6 


3.85 


0.06 


36 


23.10 


0.38 




7 


4.49 


0.07 


37 


23.74 


0.40 




8 


5.13 


0.09 


38 


24.38 


0.41 




9 


5.77 


0.10 


39 


25.02 


0.42 




10 


6.42 


0.11 


40 


25.66 


0.43 




11 


7.06 


0.12 


41 


26.30 


0.44 




12 


7.70 


0.13 


42 


26.95 


0.45 




13 


8.34 


0.14 


43 


27.59 


0.46 




14 


8.98 


0.15 


44 


28.23 


0.47 




15 


9.62 


0.16 


45 


28.87 


0.48 




16 


10.27 


0.17 


46 


29.51 


0.49 




17 


10.91 


0.18 


47 


30.15 


0.50 




18 


11.55 


0.19 


48 


30.80 


0.51 




19 


12.19 


0.20 


49 


31.44 


0.52 




20 


12.83 


0.21 


50 


32.08 


0.53 




21 


13.47 


0.22 


51 


32.72 


0.55 




22 


14.11 


0.24 


52 


33.36 


0.56 




23 


14.76 


0.25 


53 


34.00 


0.57 




24 


15.40 


0.26 


54 


34.64 


0.58 




25 


16.04 


0.27 


55 


35.29 


0.59 




26 


16.68 


0.28 


56 


35.93 


0.60 




27 


17.32 


0.29 


57 


36.57 


0.61 




28 


17.96 


0.30 


58 


37.21 


0.62 




29 


18.61 


0.31 


59 


37.85 


0.63 




30 


19.25 


0.32 


60 


38.49 


0.64 





10 









TABLE II. 








FOR THE 


CORRECTION c TO BE ADDED TO THE AUXILIARY ANOMALY i 


'. 




Argument = M. For M > 180° the 


Argument is 360° 


— M, and th 


3 sign of c to be reversed. 




Arg. 


c 


Diff. 


Arg. 


c 


DifF. 


Arg. 


c 


DifF. 


Arg. 


c 


Diff. 


O 


/ // 


// 


O 


/ // 


// 


o 


1 II 


// 


O 


/ // 


I, 





0.0 • 




45 


+ 8 52.2 




90 


- 2 16.3 




135 


- 8 7.4 




1 


+ 22.3 


+23.3 


40 


8 47.1 


- 5.1 


91 


2 33.2 


-16.9 


136 


8 4.1 


+ 3.3 


2 


44.G 


33.3 


47 


8 41.3 


5.8 


92 


2 49.8 


16.6 


137 


8 0.3 


3.8 


3 


1 6.9 


92.3 


48 


8 34.7 


6.6 


93 


3 6.1 


]6.3 
16.1 


138 


7 56.1 


4.2 


4 


1 29.0 


22.1 


49 


8 27.4 


7.3 


94 


3 22.2 


139 


7 51.4 


4.7 


5 


1 50.9 


21.9 


50 


8 19.4 


8.0 


95 


3 37.9 


15.7 


140 


7 46.3 


5.1 


6 


2 12.7 


21.8 


51 


8 10.7 


8.7 


96 


3 53.3 


15.4 


141 


7 40.7 


5.6 


7 


2 34.2 


21.5 


52 


8 1.3 


9.4 


97 


4 8.4 


15.1 


142 


7 34.7 


6.0 


8 


2 55.5 


21.3 


53 


7 51.3 


lo.n 


98 


4 23.2 


14.8 


143 


7 28.3 


6.4 


9 


3 16.5 


21.0 
20.6 


54 


7 40.7 


10.6 
11.3 


99 


4 37.5 


14.3 
14.0 


144 


7 21.4 


6.9 
7.3 


10 


3 37.1 




55 


7 29.4 




100 


4 51.5 




145 


7 14.1 




11 


3 57.3 


20.2 


56 


7 17.6 


n.8 


101 


5 5.2 


13.7 


146 


7 0.4 


7.7 


12 


4 17.1 


19.8 
19.4 


57 


7 5.2 


12.4 
12.9 


102 


5 18.4 


13.9 
12.8 


147 


6 58.4 


e.o 

8.5 


13 


4 36.5 


18.9 


58 


6 52.3 


13.4 


103 


5 31.2 


12.3 


148 


6 49.9 


8.8 


14 


4 55.4 




59 


6 38.9 




104 


5 43.5 




149 


6 41.1 




15 


5 13.9 


18.5 


60 


6 25.0 


13.9 


105 


5 55.5 


12.0 


150 


6 31.9 


9.9 . 


16 


5 31.8 


17.9 


61 


6 10.6 


14.4 


106 


6 7.0 


11.5 


151 


6 22.3 


9.6 


17 


5 49.1 


17.3 


62 


5 55.7 


14.9 


107 


6 18.0 


11.0 


152 


6 12.4 


9.9 


18 


6 5.8 


16.7 


G3 


5 40.5 


15.9 


108 


6 28.6 


10.6 


153 


6 2.2 


10.9 


19 


6 21.9 


16.1 


64 


5 24.9 


15.6 


109 


6 38.8 


10.2 


154 


5 51.6 


10.6 


20 


6 37.3 


15.4 
14.8 


65 


5 8.9 


16.0 


110 


6 48.4 


9.6 


155 


5 40.8 


10.8 


21 


6 53.1 


66 


4 52.5 


16.4 


111 


6 57.6 


9.2 


156 


5 29.6 


11.9 


22 


7 6.2 


14.1 


67 


4 35.9 


16.6 


112 


7 6.3 


8.7 


157 


5 18.1 


11.5 


23 


7 19.6 


13.4 


68 


4 19.0 


16.9 


113 


7 14.5 


8.9 


158 


5 6.4 


11.7 


24 


7 32.3 


12.7 


69 


4 1.8 


17.9 


114 


7 22.2 


7.7 


159 


4 54.3 


12.1 


25 


7 44.2 


11.9 


70 


3 44.3 


17.5 


115 


7 29.4 


7.2 


160 


4 42.0 


12.3 


26 


7 55.3 


11.1 


7] 


3 26.7 


17.6 


116 


7 36.1 


6.7 


161 


4 29.5 


12.5 


27 


8 5.7 


10.4 


72 


3 8.8 


17.9 


117 


7 42.4 


6.3 


162 


4 16.7 


12.8 


28 


8 15.3 


9.6 
8.8 


73 


2 50.8 


18.0 


118 


7 48.1 


5.7 


163 


4 3.7 


13.0 


29 


8 24.1 


74 


2 32.7 


18.1 


119 


7 53.3 


5.2 


164 


3 50.5 


13.2 


30 


8 32.0 


7.9 


75 


2 14.5 


18.9 


120 


7 58.0 


4.7 


165 


3 37.1 


13.4 


31 


8 39.2 


7.3 


76 


1 56.1 


18.4 


121 


8 2.1 


4.1 


166 


3 23.5 


13.6 


32 


8 45.5 


6.3 


77 


1 37.8 


18.3 


122 


8 5.8 


3.7 


167 


3 9.7 


13.8 


33 


8 51.0 


5.5 


78 


1 19.3 


18.5 


123 


8 8.9 


3.1 


168 


2 55.7 


14.0 


34 


8 55.6 


4.6 


79 


1 0.9 


18.4 


124 


8 11.6 


9.7 


169 


2 41.6 


14.1 


35 


8 59.5 


3.9 


80 


42.5 


18.4 


125 


8 13.7 


9.1 


170 


2 27.4 


14.9 


36 


9 2.5 


3.0 


81 


24.1 


18.4 


126 


8 15.3 


1.6 


171 


2 13.0 


14.4 


37 


9 4.6 


2.1 


82 


+ 5.7 


18.4 


127 


8 16.4 


1.1 


172 


1 58.5 


14.5 


38 


9 5.9 


1.3 


83 


- 12.5 


18.9 


128 


8 17.0 


0.6 


173 


1 43.9 


14.6 


39 


9 6.4 


+ 0.5 


84 


30.6 


18.1 


129 


8 17.2 


- 0.9 


174 


1 29.3 


14.6 


40 


9 6.0 


- 0.4 


85 


48.7 


18.1 


130 


8 16.8 


+ 0.4 


175 


1 14.5 


14.8 


41 


9 4.9 


1.1 


8G 


1 6.6 


17.9 


131 


8 15.9 


0.9 


176 


59.7 


14.8 


42 


9 2.9 


2.0 


87 


1 24.3 


17.7 


132 


8 14.5 


1.4 


177 


44.8 


14.9 


43 


9 0.1 


9.8 


88 


1 41.8 


17.5 


133 


8 12.6 


1.9 


178 


29.9 


14.9 


44 


8 56.6 


3.5 


69 


1 59.2 


17.4 


134 


8 10.3 


9.3 


179 


- 14.9 


15.0 


45 


8 52.2 


— 4.4 


90 


- 2 16.3 


17.1 


135 


- 8 7.4 


+ 9.9 


ISO 


0.0 


+14.9 




cot 4?)':= 


1 — e 
P 


True 


Anomaly v^v' 
log/) = 0. 


rfcf 1 F^ -1 f\r\ 




9.912513 






r = 


1 + c cos V 




385199 


log c = 


9.001660 





























11 











TABLE 


III. 


















FOR THE ARGUMENTS. 










A. 


For the different Years. The times are referred to the meridian 


of Washington. 




Years. 


I. 


II. 


III. 


IV. 


V. 


VI. 


VII. 


VIII. 


IX 


X. 




O 


O 


O 


o 








o 


O 


o 


O 


1850 


211.657 


56.713 


165.842 


102.528 


314.18 


353.40 


95.93 


330.79 


250.87 


244.27 


1851 


181.332 


153.080 


168.538 


165.874 


347.21 


150.42 


316.29 


196.79 


344.54 


134.96 


1852 B 


150.924 


249.708 


171.240 


229.392 


20.32 


307.86 


177.25 


73.46 


78.47 


26.33 


1853 


120.598 


346.072 


173.933 


292.737 


53.33 


104.88 


37.61 


308.46 


172.14 


277.01 


1854 


90.273 


82.437 


176.628 


356.082 


86.35 


261.89 


257.97 


184.46 


265.81 


167.70 


1855 


59.947 


178.799 


179.320 


59.426 


119.37 


58.90 


118.33 


60.47 


359.48 


.58.38 


1856 5 


29.539 


275.429 


182.023 


122.945 


152.48 


216.35 


339..30 


■296.13 


93.41 


309.76 


1857 


359.213 


11.791 


184.715 


186.289 


185.50 


13.36 


199.65 


172.14 


187.08 


200.44 


1858 


328.888 


108.156 


187.410 


249.634 


218.52 


170.38 


60.01 


48.14 


280.75 


91.13 


1859 


298.562 


204.518 


190.102 


312.978 


251.54 


327.39 


280.37 


284.15 


14.42 


341.81 


1860 5 


268.154 


301.148 


192.805 


16.497 


284,65 


124.84 


141.33 


159.81 


108.34 


233.18 


1861 


237.828 


37.511 


195.497 


79.841 


317.67 


381.85 


1.69 


35.81 


202.01 


123.87 


1863 


207.503 


133.876 


198.193 


143.187 


350.69 


78.87 


322.00 


271.82 


295.68 


14.55 


1863 


177.178 


230.242 


200.888 


206.532 


23.71 


335.89 


82.42 


147.82 


29.35 


265.24 


1864 5 


146.769 ' 


326.869 


203.588 


270.050 


56.82 


33.33 


303.38 


23.49 


123.28 


156.61 


1865 


116.444 


63.234 


206.283 


333.395 


89.84 


190.35 


163.74 


259.49 


316.95 


47.30 


1866 


86.119 


159.599 


208.978 


36.740 


122.86 


347.36 


24.10 


135.50 


310.62 


297.98 


1867 


55.793 


255.961 


211.670 


100.084 


155.88 


144.37 


244.46 


11.50 


44.29 


188.67 


1868 5 


25.385 


352.591 


214.373 


163.603 


188.99 


301.82 


105.42 


247.17 


138.22 


80.04 


1869 


355.060 


88.956 


217.068 


226.948 


222.01 


98.84 


325.78 


123.17 


231 .89 


330.72 


1870 


324.734 


185.318 


219.760 


290.292 . 


255.03 


255.85 


186.14 


359.17 


325.56 


221.41 


1871 


294.409 


281.683 


222.4.55 


353.637 


388.05 


52.86 


46.50 


235.18 


59.23 


112.09 


1873 5 


264.001 


18.313 


225.158 


57.156 


321.16 


210.31 


267.47 


110.85 


153.15 


3.47 


1873 


233.676 


114.678 


227.853 


120.501 


354.18 


7.33 


127.83 


346.85 


246.82 


354.15 


1874 


803.350 


211.042 


230.546 


183.846 


27.20 


164.34 


348.19 


332.85 


340.50 


144.84 


1875 


173.025 


307.407 


233.241 


247.191 


60.22 


321.36 


308.55 


98.86 


74.17 


35.52 


1876 5 


142.617 


44.037 


235.944 


310.710 


93.33 


118.80 


09.51 


334.52 


168.09 


286.90 


1877 


112.292 


140.402 


238.639 


14.055 


126.35 


275.82 


389.87 


210.53 


261.76 


177.58 


1878 


81.967 


236.767 


241.334 


77.400 


159.37 


73.83 


150.33 


86.53 


355.43 


68.27 


■ 1879 


51.642 


333.132 


244.029 


140.745 


192.39 


229.85 


10.59 


333.54 


89.10 


318.95 


1880 5 


21.234 


69.762 


246.732 


204.264 


225.50 


27.29 


231.56 


198.20 


183.03 


210.33 


1881 


350.908 


166.124 


249.424 


267.608 


258.52 


184.31 


91.92 


74.21 


276.70 


101.01 


1882 


320.583 


262.489 


252.119 


330.953 


291.54 


341.32 


313.28 


310.21 


10.37 


357.69 


1883 


290.258 


358.856 


254.815 


34.299 


334.50 


138.34 


172.64 


186.22 


104.04 


242.38 


1884 5 


259.849 


95.481 


257.514 


1)7.816 


357.66 


295.78 


33.60 


61.88 


197.97 


133.75 


1885 


,229.524 


191.848 


260.210 


161.162 


30.69 


92.80 


253.96 


397.88 


291 .64 


24.44 


1886 


199.198 


288.208 


262.901 


224.505 


63.70 


349.81 


114.32 


173.89 


25.31 


275.12 


1887 


168.873 


24.575 


265.597 


287.851 


96.72 


46.83 


334.68 


49.89 


118.98 


165.81 


1888 5 


138.465 


121.204 


2C8.299 


351.370 


129.83 


304.27 


195.64 


285.56 


212.90 


57.18 


1889 


108.139 


217.567 


270.992 


,54.714 


162.85 


1.29 


56.00 


161.56 


306.57 


307.86 


1890 


77.814 


313.932 


273.687 


118.059 


195.87 


158.30 


276.36 


37.57 


40.24 


198.55 


1891 


47.489 


50.297 


276.382 


181.404 


238.89 


315.32 


136.72 


273.57 


133.91 


89.23 


1892 5 


17.080 


146.924 


279.082 


244.922 


, 262.00 


112.76 


357.69 


149.24 


337.84 


340.61 


1893 


346.755 


243.289 


281.777 


308.267 


295.02 


269.78 


218.05 


25.24 


331.51 


231.39 


1894 


316.430 


339.654 


284.472 


11.612 


328.04 


66.79 


78.41 


261.25 


55.18 


121.98 


1895 


286.104 


76.016 


287.164 


74.356 


1.06 


233.81 


298.76 


137.25 


148.85 


12.66 


1896 5 


255.696 


172.646 


289.867 


138.475 


34.17 


31.25 


159.73 


12.93 


242.78 


264.03 


1897 


225.371 


269.013 


292.563 


201.821 


67.19 


178.27 


20.09 


248.92 


336.45 


154.72 


1898 


195.045 


5.375 


295.255 


265.165 


100.21 


335.38 


340.45 


124.93 


70.12 


45.40 


1899 


164.720 


101.740 


297.950 


328.510 


133.23 


132.30 


100.81 


0.93 


163.79 


296.09 


1900 5 


134.311 


198.367 


300.650 


32.028 


166.34 


289.74 


321.77 


236.59 


257.72 


187.46 



12 









TABLE 


III. — Continued. 














FOR THE ARGUMENTS. 












A. For the different Yean 


. The times are referred to the 


meridian of Washington. 




Years. 


XI. 


XII. 


XIII. 


XIV. 


XV. 


XVI. 


XVII. 


XVIII. 


XIX. 


XX. 




O 


o 





o 


o 


o 


o 


o 





o 


1850 


76.0 


326.9 


217.8 


42.9 


24.1 


198.4 


133.2 


172.4 


17.5 


89.3 


1851 


63.8 


48.3 


32.9 


119.1 


199.4 


122.9 


214.9 


18.1 


349.9 


106.7 


1852 B 


51.6 


130.0 


208.5 


181.6 


14.3 


46.6 


295.8 


223.4 


329.1 


125.1 


1853 


39.3 ■ 


211.5 


23.6 


250.8 


189.7 


330.3 


17.5 


69.1 


994.5 


142.5 


1854 


27.1 


292.9 


198.8 


390.1 


5.0 


254.0 


99.2 


274.7 


266.9 


159.9 


1855 


14.9 


14.4 


13.9 


29.3 


180.4 


177.8 


180.9 


120.4 


239.2 


177.2 


1856 5 


2.7 


96.1 


189.5 


98.8 


355.2 


109.2 


261.8 


325.7 


211.6 


195.6 


1857 


350.5 


177.5 


4.6 


168.0 


170.6 


95.9 


343.5 


171.4 


183.9 


213.0 


1858 


338.3 


259.0 


179.8 


237.3 


345.9 


309.6 


65.2 


17.0 


156.3 


230.4 


1859 


326.1 


340.5 


354.9 


306.5 


161.3 


933.3 


146.8 


229.7 


128.7 


947.7 


1860 5 


313.8 


62.2 


170.5 


16.0 


336.1 


157.8 


997.8 


68.0 


101.0 


266.2 


1861 


301.6 


143.6 


345.6 


85.9 


151.5 


81.5 


309.5 


273.6 


73.3 


283.5 


1862 


289.4 


225.1 


160.8 


154.5 


326.8 


5.2 


31.1 


119.3 


45.7 


300.9 


1863 


277.2 


306.5 


335.9 


223.7 


142.9 


988.9 


119.8 


325.0 


18.1 


318.3 


1864 5 


264.9 


28.2 


151.5 


293.2 


317.0 


913.4 


193.7 


170.2 


350.3 


336.7 


1865 


252.7 


109.7 


326.6 


9.4 


132.4 


136.1 


- 975.4 


15.9 


399.7 


3!54.1 


1866 


240.5 


191.1 


141.8 


71.7 


307.7 


60.8 


357.1 


221.6 


295.1 


11.5 


1867 


228.3 


279.6 


316.9 


140.9 


123.1 


344.5 


78.8 


67.3 


267.5 


28.8 


1868 B 


216.1 


354.3 


139.5 


210.3 


297.9 


269.0 


159.7 


272.6 


939.8 


47.2 


1869 


203.8 


75.7 


307.6 


279.6 


113.3 


192.7 


941.4 


118.2 


919.1 


64.6 


1870 


191.6 


157.2 


122.8 


348.8 


288.6 


116.4 


323.1 


323.9 


184.5 


82.0 


1871 


179.4 


238.7 


297.9 


58.1 


104.0 


40.1 


44.8 


169.6 


156.9 


99.4 


1872 5 


167.2 


320.3 


113.5 


127.5 


278.8 


324.6 


195.7 


14.8 


129.2 


117.8 


1873 


155.0 


41.8 


288.6 


196.8 


94.2 


248.3 


207.4 


220.5 


101.5 


135.1 


1874 


142.8 


123.3 


103.8 


,266.0 


269.5 


172.0 


289.1 


66.2 


73.9 


152.5 


1875 


130.6 


904.7 


278.9 


335.3 


84.9 


95.7 


10.7 


271.9 


^46.3 


169.9 


1876 5 


118.3 


986.4 


94.5 


44.7 


259.8 


20.2 


91.7 


117.1 


18.5 


188.3 


1877 


106.1 


7.9 


269.6 


114.0 


75.1 


303.9 


173.3 


322.8 


350.9 


205.7 


1878 


93.9 


89.3 


84.8 


183.9 


250.5 


297.6 


255.0 


168.5 


323.3 


223.1 


1879 


81.7 


170.8 


259.9 


252.5 


65.8 


151.3 


336.7 


14.2 


995.7 


240.4 


1880 5 


69.4 


252.5 


75.5 


321.9 


240.7 


75.8 


57.6 


219.4 


268.0 


258.9 


1881 


57.2 


333.9 


950.6 


31.2 


56.0 


359.5 


139.3 


65.1 


240.3 


276.9 


1882 


45.0 


55.4 


65.8 


100.4 


231.4 


283.9 


221.0 


270.8 


212.7 


993.6 


1883 


32.8 


136.8 


240.9 


169.7 


46.7 


206.9 


302.7 


116.5 


185.1 


311.0 


1884 5 


20.6 


218.5 


56.5 


239.1 


221.6 


131.4 


23.6 


321.7 


157.3 


329.4 


1885 


8.3 


300.0 


231.6 


308.3 


36.9 


55.1 


105.3 


167.4 


129.7 


346.8 


18S6 


356.1 


21.4 


46.8 


17.6 


219.3 


338.8 


187.0 


13.1 


109.1 


4.1 


1887 


343.9 


102.9 


921.9 


86.8 


27.6 


262.5 


268.7 


218.8 


74.4 


21.5 


1888 5 


331.7 


184.6 


37.5 


156.3 


202.5 


187.0 


349.6 


64.0 


46.8 


39.9 


1889 


319.5 


266.1 


219.6 


225.5 


17.8 


110.7 


71.3 


269.7 


19.1 


57.3 


1890 


307.3 


347.5 


97.8 


294.8 


193.2 


34.4 


152.9 


115.4 


351.5 


74.7 


1891 


295.1 


69.0 


209.9 


4.0 


8.5 


318.1 


234.6 


321.1 


323.9 


92.0 


1892,5 


282.8 


150.7 


18.5 


73.5 


183.4 


242.6 


315.6 


166.3 


296.2 


110.4 


1893' 


270.6 


232.1 


193.6 


149.7 


358.7 


166.3 


37.2 


12.0 


268.5 


127.8 


1894 


258.4 


313.6 


8.8 


912.0 


174.1 


90.0 


118.9 


217.7 


240.9 


145.2 


1895 


246.2 


35.0 


183.9 


281.2 


349.5 


13.7 


200.6 


63.3 


213.3 


162.6 


1896 5 


233.9 


116.7 


359.5 


350.7 


166.3 


298.9 


281.5 


268.6 


185.5 


180.9 


1897 


221.7 


198.2 


174.6 


59.9 


339.7 


921.9 


3.2 


114.3 


157.9 


198.4 


1898 


209.5 


279.6 


349.8 


199.2 


155.0 


145.6 


84.9 


320.0 


130.3 


215.7 


1899 


197.3 


1.1 


164.9 


- 198.4 


330.4 


69.3 


166.6 


165.7 


102.7 


233.1 


1900 5 


185.1 


82.8 


340.5 


267.8 


. 145.2 


353.8 


247.5 


10.9 


75.0 


251.5 



13 



TABLE 111.— Gontinued. 

' FOR THE ARGUMENTS. 
A. For the different Years. The times are referred to the meridian of Washington. 



1850 


159 


1851 


319 


1852 B 


119 


18.53 


279 


1854 


78 


1855 


238 


1856 5 


38 


1857 


198 


1858 


358 


1859 


157 


1860 £ 


318 


1861 


117 


1862 


277 


1863 


77 


1864 JB 


237 


1865 


37 


1866 


19.6 


1867 


356 


1868 5 


156 


1869 


316 


1870 


116 


1871 


275 


1872 B 


75 


1873 


235 


1874 


35 


1875 


195 


1876 5 


355 


1877 


154 


1878 


315 


1879 


114 


1880 5 


274 


1881 


74 


1883 


233 


1883 


33 


1884 5 


193 


1885 


353 


1886 


J 53 


1887 


312 


1888 5 


113 


1889 


272 


1890 


72 


1891 


232 


1892 5 


32 


1893 


192 


1894 


351 


1895 


151 


1896 5 


311 


1897 


ni 


1898 


270 


1899 


70 


1900 5 


230 



XXI. 



XXll. 



120 

156 

192 

227 

263 

299 

335 

10 

46 

82 

117 

153 

189 

225 

260 

296 

332 

8 

43 

79 

115 

151 

186 

222 

258 

293 

329 

5 

41 

76 

112 

148 

184 

219 

255 

291 

326 

2 

38 

74 

110 

145 

181 

217 

253 

288 

324 



35 

71 

107 



XXIII. 



81 
352 
264 
176 

87 
359 
271 
182 

94 

6 

277 

189 

JOl 

12 
284 
196 
107 

19 
291 
202 
114 

26 
297 
209 
121 

32 
304 
216 
127 

39 
310 
222 
133 

46 
317 
229 
140 

52 
324 
235 
147 

59 
330 
242 
154 

65 
337 
249 
160 

72 
344 



XXIV. 



XXV. XXVI 



11 

140 
270 
39 
169 
298 

68 
197 
327 

96 
226 
355 
125 
254 

24 
153 
282 

52 
182 
311 

80 
210 
339 
109 
238 
8 
137 
267 

36 
166 
295 

65 
194 
323 

93 
223 
352 
121 
251 

20 
150 
279 

49 
178 
308 

77 
207 
336 
106 
235 
5 



262 
125 
348 
312 

75 
298 
161 

24 
247 
110 
334 
197 

60 
283 
147 

10 
233 

96 
320 
183 

46 
269 
133 
350 
219 

82 
305 
169 

32 
255 
118 
341 
204 
■67 
291 
154 

17 
240 
104 
327 
190 

53 

277 

140 

3 

226 

90 
313 
176 

39 
262 



229 

171 

113 

65 

357 

299 

241 

183 

125 

67 

9 

311 

253 

195 

137 

79 

21 

323 

365 

207 

149 

91 

33 

335 

277 

219 

161 

103 

45 

347 

289 

231 

173 

115 

57 

359 

301 

243 

185 

127 

69 

11 

313 

355 

197 

139 

81 

23 

325 

267 

209 



XXVII. XXVIII. XXIX 



70 
212 
354 
136 
279 

61 
203 
345 
127 
270 

51 
194 
336 
118 
260 

43 
185 
327 
109 
251 

34 
176 
318 
100 
242 

25 
166 
309 

91 
233 

15 
157' 
300 

82 

224 

6 

149 

291 

73 
215 
357 
140 
281 

64 
206 
348 
130 
372 

55 
197 
339 



XXX. 



238 

285 

334 

22 

70 

117 

166 

214 

261 

309 

358 

46 

93 

141 

190 

238 

385 

333 

22 

70 

117 

165 

214 

201 

309 

357 

46 

93 

141 

189 

238 

285 

333 

21 

69 

117 

165 

213 

261 

309 

357 

45 

93 

141 

189 

236 

285 

333 

21 

68 

117 



135 

119 

105 

89 

73 

58 

43 

28 

12 

356 

342 

326 

310 

295 

380 

264 

249 

233 

218 

208 

187 

171 

157 

141 

125 

110 

95 

79 

64 

48 

33 

18 

2 

346 

333 

316 

300 

285 

270 

254 

339 

223 

208 

193 

177 

162 

147 

131 

116 

100 

85 



185 

79 
333 
227 
121 

15 
309 
163 

58 
312 
205 
100 
354 
248 
143 

36 
290 
184 

78 
332 
226 
120 

14 
368 
162 

56 
310 
204 

98 
353 
346 
141 

35 
289 

183 

77 

331 
225 

119 
13 

267 

161 
55 

309 

203 
97 

351 

245 

139 
34 

287 



14 









TABLE III. Continued. 
















FOR THE ARGUMENTS. 












B. Variations of the Arguments for the different Months. The 


times are referred to the merid 


an of Washington. 




Months. 


I. 


II. 


III. 


IV. 


V. 


VI. 


VII. 


VIII. 


IX. 


X. 




January 


0.000 


8.000 


8.000 


0.000 


8.00 


0.00 


8.00 


8.00 


8.00 


8.00 




February . . 


357.425 


8,184 


0.229 


5.378 


2,80 


13.34 


18.71 


349.47 


7.95 


21.29 




March . . . 


355.098 


15.576 


0.436 


10.236 


5,34 


25.38 


35.62 


339.96 


15.14 


40.52 




April . . . 


352.593 


23.760 


0.665 


15.614 


8,14 


38.72 


54.33 


329.43 


23.08 


61.81 




May . . . 


350.031 


31.680 


0.887 


20.819 


10,86 


51.62 


79.44 


319.23 


30.78 


82.42 




June . . 


347.456 


39.864 


1.116 


26.197 


13.66 


64.96 


91.16 


308.70 


38.74 


103.71 




July .... 


344.964 


47.784 


1.338 


31.402 


16.38 


77.87 


109.27 


298.51 


46.43 


124.31 




August . 


342.389 


55.968 


1.567 


36,780 


19.18 


91,20 


127.99 


287.98 


54.39 


145.60 




September . . 


339.814 


64.159 


1.796 


42,158 


21.99 


104,54 


146.70 


277.45 


69.34 


166.89 




October . . . 


337.322 


72.072 


2.018 


47,363 i 


24.70 


117,44 


164.81 


267.26 


70.04 


187.50 




November 


334.747 


80.256 


2.247 


52,741 


27.51 


130.78 


183.53 


256.73 


78.00 


208.79 




December . . 


332.255 


88.178 


2.467 


57,946 


30.22 


143.69 


201.64 


246.54 


85,69 


229.39 




Months. 


XI. 


XII. 


XIII. 


XIV. 


XV. 


XVI. 


XVII. 


XVIII. 


XIX, 


XX. 




January . . 


8.0 


8.0 


8.0 


8.0 


8.0 


8.0 


o 
0.0 


O 

0.0 


0,0 


o 
0.0 




February . . 


359.0 


6.9 


14.9 


5.9 


344.3 


24.1 


336,4 


346.9 


357.7 


32.0 




March . . . 


358.0 


13.2 


28.3 


11.2 


330.1 


45.9 


315,0 


335.0 


355.5 


61.0 




April 


■ 357.0 


20.1 


43.2 


17.1 


314.5 


70.0 


291,4 


321.9 


353.2 


93.0 




May .... 


356.0 


26.8 


57.6 


22.8 


299.3 


93,3 


268.5 


309.3 


350.9 


124.1 




June .... 


354.9 


33.7 


72,4 


28.6 


283.6 


117,4 


244.9 


296.1 


348.6 


156.1 




July . . 


353.9 


40.4 


86.8 


34,3 


268.4 


140,7 


222,0 


983.5 


346.3 


187.1 




August . . . 


352.9 


47.3 


101.7 


40,2 


252,7 


164,8 


198,3 


270.4 


344.0 


219.9 




September . . 


351.9 


54.2 


116.6 


46.1 


237,0 


188,9 


174,7 


257.9 


341.6 


251.2 




October . . . 


350.9 


60.9 


130.9 


51.8 


221.9 


212,2 


151,8 


244.6 


339.4 


989.3 




November . 


349.8 


67.8 


145.8 


57,7 


206.2 


236,3 


128,2 


931 .5 


337.0 


314.3 




December . . 


348.8 


74.5 


160.2 


63.3 


191.0 


259,6 


_ 105,3 


218.8 


334.8 


345,3 




Months. 


XXI. 


XXII. 


XXIII. 


XXIV. 


XXV. 


XXVI. 


XXVII, 


XXVIII. 


XXIX. 


XXX, 




January . . 


8 


8 


o 








8 


o 



o 



8 


o 










February . 


14 


3 


352 


11 


19 


355 


341 


35 


29 


351 




March . . . 


26 


6 


346 


21 


36 


351 


325 


66 


56 


343 




April . . . 


39 


9 


338 


32 


55 


346 


306 


100 


85 


334 




May .... 


53 


12 


331 


42 


73 


341 


288 


134 


113 


325 




June . 


66 


15 


323 


53 


92 


336 


270 


169 


143 


316 




July .... 


79 


18 


316 


64 


110 


331 


252 


202 


171 


307 




August . . . 


93 


21 


309 


75 


129 


326 


233 


237 


200 


298 




September . . 


106 


24 


301 


86 


148 


321 


215 


271 


229 


289 




October . . . 


120 


27 


294 


97 


166 


317 


197 


305 


258 


281 




November . . 


133 


30 


286 


108 


185 


312 


179 


339 


287 


272 




December . . 


146 


33 


279 


118 


204 


307 


161 


373 


3)5 


263 






InB 


issextile ¥ 


ears subtr 


let one day from the 


date in th 


e first two 


months. 









15 









TABLE III. Continued. 


















FOR THE ARGUMENTS. 










c. 


Variations of the Arguments in 


the different Days. The times are referred to the meridian of Washi 


ngton. 




Days. 


I. 


II. 


III. 


IV. 


V. 


VI. 


VII. 


VIII. 


IX. 


X. 




1 


359.917 


0.264 


0.007 


0.173 


0.09 


0.43 


0.60 


359°66 


0.26 


0.69 




2 


359.834 


0.528 


0.015 


0.347 


0.18 


0.86 


1.21 


359.32 


0.51 


1.37 




3 


3.59.751 


0.792 


0.022 


0.520 


0.27 


1.29 


1.81 


358.98 


0.77 


2.06 




4 


359.667 


1.056 


0.030 


0.694 


0.36 


1.72 


2.41 


358.64 


1.03 


2.75 




5 


359.584 


1320 


0.037 


0.867 


0.45 


2.15 


3.02 


358.30 


1.28 


3.43 




6 


359.501 


1.584 


0.044 


1.041 


0.54 


2.58 


3.62 


357.96 


1.54 


• 4.12 




7 


359.418 


1.848 


0.052 


1.214 


0.63 


3.01 


4.23 


357.62 


1.80 


4.81 




8 


359.335 


2.112 


0.059 


1.388 


0.72 


3.44 


4.83 


357.28 


2.05 


5.49 




9 


359.2.52 


2.376 


0.067 


1.561 


0.81 


3.87 


5.43 


356 94 


2.31 


6.18 




10 


359.169 


2.640 


0.074 


1.735 


0.90 


4.30 


6.04 


356.60 


2.57 


6.87 




20 


358.338 


5.280 


0.148 


3.470 


1.81 


8.60 


12.07 


353.20 


5.13 


13.74 




30 


357.508 


7.920 


0.222 


5.205 


2.71 


12.91 


18.11 


349.80 


7.70 


20.60 




Days. 


XI. 


XII. 


XIII. 


XIV. 


XV. 


XVI. 


XVII. 


XVIII. 


XIX. 


XX. 




1 


o°.o 


o 
0.2 


o 
0.5 


§.2 


359.5 


o 
0.8 


359.2 


359.6 


359.9 


?.o 




2 


359.9 


0.4 


1.0 


0.4 


359.0 


1.6 


358.5 


359.2 


359.8 


2.1 




3 


359.9 


0.7 


1.4 


0.6 


358.5 


2.3 


357.7 


358.7 


359.8 


3.1 




4 


359.9 


0.9 


1.9 


0.8 


358.0 


3.1 


357.0 


358.3 


359.7 


4.1 




5 


359.8 


M 


2.4 


0.9 


357.5 


3.9 


356.2 


357.9 


359.6 


5.2 




6 


359.8 


1.3 


2.9 


1.1 


357.0 


4.7 


355.4 


357.5 


359.5 


6.2 




7 


359.8 


1.6 


3.4 


1.3 


356.5 


5.4 


354.7 


357.0 


359.5 


7.2 




8 


359.7 


1.8 


3.8 


1.5 


356.0 


6.2 


353.9 


356.6 


359.4 


8.3 




9 


359.7 


2.0 


4.3 


1.7 


355.4 


7.0 


353.1 


356.2 


359.3 


9.3 




10 


359.7 


2.2 


4.8 


1.9 


354.9 


7.8 


352.4 


355.8 


359.2 


10.3 




20 


359.3 


4.5 


9.6 


3.8 


349.9 


15.5 


344.8 


351.6 


358.5 


20.7 




30 


359.0 


6.7 


14.4 


5.7 


344.8 


23.3 


337.1 


347.3 


357.7 


31.0 




Days. 


XXI. 


XXII. 


XXIII. 


XXIV. 


XXV. 


XXVI. 


XXVII. 


XXVIII. 


XXIX. 


XXX. 




1 


o 



e 


o 



o 



? 


°0 


35°9 


o 
1 




1 


°0 




2 


1 










1 





359 


2 


2 


359 




3 


1 





359 




2 





358 


3 


3 


359 




4 


2 





359 




2 


359 


358 


4 


4 


359 




5 


2 





359 


2 


3 


359 


357 


6 


5 


359 




6 


3 


1 


359 


2 


4 


359 


356 


7 


6 


358 




7 


3 


1 


358 


2 


4 


359 


356 


8 


7 


358 




8 


4 


1 


358 


3 


5 


359 


355 


9 


8 


358 




9 


4 


1 


358 


3 


5 


359 


355 


10 


8 


357 




10 


4 


1 


358 


3 


6 


358 


354 


11 


9 


357 




20 


9 


2 


355 


7 


12 


357 


348 


22 


19 


354 




30 


13 


3 


353 


10 


18 


355 


342 


34 


28 


351 





16 



TABLE 111 .—Concluded. 

FOR THE ARGUMENTS. 

D. Variations of the Arguments in the difFerent Hours. The times are referred to the meridian of Washington. 



Days. 

1 
2 
3 

4 
5 
6 

7 

8 

9 

10 

30 



I. 



II. 



III. 



IV. 



V. 



VI. 



VII. 



VIII. 



IX. 



X. . 



359.996 
359.993 
359.990 
359.986 
359.983 
359.979 
359.976 
359.972 
359.969 
359.965 
359.930 



0.011 
0.022 
0.033 
0.044 
0.055 
0.066 
0.077 
0.088 
0.099 
0.110 

o.aao 



0.000 
0.001 
0.001 
0.001 
0.001 
0.002 
0.002 
0.002 
0.003 
0.003 
0.006 



0.007 
0.014 
0.022 
0.029 
0.036 
0.043 
0.050 
0.0.58 
0.065 
0.072 
0.144 



0.00 
0.01 
0.01 
0.02 
0.02 
0.02 
0.03 
0.03 
0.03 
0.04 
0.08 



o 
0.02 

0.04 

0.05 

0.07 

0.09 

0.11 

0.13 

0.14 

0.16 

0.18 

0.36 



0.02 
0.05 
0.07 
0.10 
0.12 
0.15 
0.17 
0.20 
0.22 
0.25 
0.50 



359.99 
359.97 
359.96 
359.94 
359.93 
359.92 
359.91 
359.89 
359.88 
359.86 
359.72 



o 
0.01 

0.02 

0.03 

0.04" 

0.05 

0.06 

0.07 

0.08 

0.09 

0.10 

0.21 



0.03 
0.06 
0.09 
0.11 
0.14 
0.17 
0.20 
0.23 
0.26 
0.29 
0.57 



17 



TABLE IV. 

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 

Terms multiplied with t. Argument = M. 



Arg. 



10 
11 
13 
13 
14 
15 
16 
17 
18 
19 

20 
21 
32 
23 
24 
25 
26 
27 
38 
29 

30 
31 
32 
33 
34 
35 
36 
37 
38 
39 

40 
41 
42 
43 
44 
45 



Diff. 



- 10.69 

7.21 
.3.75 

- 0.30 
^ 3.14 

6.55 

9.93 

13.28 

16.60 

19.87 

■1- 23.10 
26.29 
29.42 
32.49 
35.51 
38.48 
41.38 
44.21 
46.98 
49.67 

+ 52.59 
54.83 
57.29 
59.67 
61.97 
64.18 
66.30 
68.34 
70.29 
72.15 

+ 73.91 
75.58 
77.15 
78.63 
80.02 
81.32 
82.52 
83.62 
84.63 
85.55 

+ 86.37 
87.10 
87.73 
88.27 
88.72 

+ 89.07 



+3.48 
3.46 
3.45 
3.44 
3.41 
3.38 
3.35 
3.32 
3.27 

3.23 

+3.19 
3.13 
3.07 
3.02 
2.97 
2.90 
2.83 
2.77 
2.69 

2.63 

+2.54 
2.46 
2.38 
2.30 
2.21 

'2.12 
2.04 
1.95 
1.86 

1.76 

+1.67 
1.57 
1.48 
1,39 
1.30 
1.20 
1.10 
1.01 
0.92 



+0.73 
0.63 
0.54 
0.45 

+0.35 



Diff. 



-269.53 

269.27 
268.89 
268.40 
267.81 
267.10 
266.29 
265.37 
264.34 
263.21 

-261.98 
260.65 
259.23 
257.71 
256.09 
254.38 
252.59 
250.70 
248.73 
246.68 

-244.54 
242.34 
240.07 
237.72 
235.32 
232.86 
230.33 
227.75 
225.12 
222.44 

-219.72 
216.96 
214.16 
211.33 
208.46 
205.57 
202.67 
199.75 
190.81 
193.85 

-190.89 
187.92 
184.94 
181.97 
179.01 

-176.05 



+0.26 
0.38 
0.49 
0.59 
0.71 
0.81 
0.92 
1.03 
1.13 

1.23 

+1.33 
1.42 
1.53 
1.62 
T.71 
1.79 
1.89 
1.97 
2.05 

2.14 

+2.20 
2.27 
2.35 
2.40 
2.46 
3.53 
2.58 
2.63 
2.68 

3.72 

+3.76 
3.80 
2.83 
3.87 
2.89 
2.90 



2.96 

+2.97 
2.98 
2.97 
2.96 

+2.96 



25.56 



25.46' 



25.27 



24.99 



24.61 



24.15 



23.00 



22.96 



Diff. 



Arg. 



+0.10 



0.19 



0.64 



45 
46 
47 
48 
49 
50 
51 
52 
53 
54 

55 
56 
57 
58 
59 
60 
61 
62 
63 
64 

65 
66 



+ 89.07 
89.33 
89.51 
89.60 
89.60 
89.53 
89.37 
89.13 
88.81 
88.42 

+ 87.95 
87.40 
86.78 
86.10 
85.34 
84.52 
83.64 
82.70 
81.70 
80.65 



Diff, 





0.73 


67 
68 


22.23 




69 




0.81 


70 
71 


21.42 




72 
73 




0.88 


74 


20.54 




75 




0.96 


76 

77 


19.58 




78 




1.03 


79 
80 


18.55 




81 




1.09 


82 
83 


17.46 




84 




1.15 


85 
86 


16.31 




87 




+1.21 


88 
89 


- 15.10 




90 



+ 79.54 
78.39 
77.19 
75.94 
74.63 
73.29 
71.91 
70.50 
69.05 
67.57 

+ 66.06 
64.52 
62.96 
61.38 
59.78 
58.16 
56.62 
54.86 
53.30 
51.53 

+ 49.86 
48.18 
46.49 
44.81 
43.12 

+ 41.44 



+0.26 
0.18 

+0.09 
0.00 

-0.07 
0.16 
0.24 
0.32 
0.39 

0.47 

-0.55 
0.62 
0.68 
0.76 
0.82 
0.88 
0.94 
1.00 
1.05 

1.11 

-1.15 
1.20 
1.35 
1.31 
1.34 
1.38 
1.41 
1.45 
1.48 

1.51 

-1.54 
1.56 
1.58 
1.60 
1.62 
1.64 
1.66 
1.66 
1.67 

1.67 

-1.68 
1.69 
1.68 
1.69 

-1.68 



Diff. 



-176.05 
173.10 
170.16 
167.24 
164.35 
161.48 
158.03 
155.81 
153.02 
150.27 

-147.55 
144.87 
143.33 
139.63 
137.07 
134.56 
132.10 
129.68 
127.32 
125.01 

-122.75 
120.54 
118.39 
116.29 
114.25 
112.27 
110.35 
108.49 
106.69 
104.95 

-103.27 
101.65 
100.09 
98.60 
97.17 
95.80 
94.49 
93.24 
92.05 
90.92 

- 89.85 
88.84 
87.89 
87.00 
86.16 

- 85.38 



c 



+2.95 
2.94 
2.92 
2.89 
2.87 
2.85 
2.82 
2.79 
2.75 

2.72 

+2.68 
2.64 
2.60 
2.56 
2.51 
2.46 
2.42 
S36 
2.31 



+2.21 
2.15 
3.10 
2.04 
1.98 
1.92 
1.86 
1.80 
1.74 



+1.62 
1.56 
1.49 
1.43 
1.37 
1.31 
1.25 
1.19 
1.13 

1.07 

+1.01 
0.95 
0.89 
0.84 

+0.78 



15.10 



13.84 



12.53 



11.19 



9.82 



8.41 



6.97 



5.51 



4.03 



2.54 



- 1.04 



+ 0.47 



1.97 



3.46 



4.94 



+ 6.41 



Diff. 



+l.i 



1.34 



1.37 



1.41 



1.44 



1.48 



1.49 



1.50 



1.51 



1.50 



+1.47 



18 











TABLE IV. Continued. 












PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH 


DECIMAL. 












Terras multiplied wi 


h t. Argument = M. 












Arg. 


? 


DifF. 


n' 


Diff. 


. f 


Diif. 


Arg. 


f 


DifF. 


v' 


DifF. 


f 


DifF. 




o 

90 


+ 41.44 




- 85.38 




+ 6.41 




o 

- 135 


- 12.15 




- 91.28 




+ 24.66 






91 


39.76 


-1.68 


84.66 


+0.72 




+1.45 


136 


12.62 


-0.47 


91.86 


-0.58 




+0.85 




92- 


38.08 


1.68 


83.99 


0.67 






137 


13,05 


0.43 


92.44 


0.58 








93 


36.41 


1.67 


83.38 


0.61 


7.86 




138 


13.45 


0.40 


93.02 


0.68 
0.57 
0.58 


25.51 






94 


34.75 


1.66 


82.83 


0.56 




1.43 


139 


13.82 


0.37 


93.59 




, 0.80 




95 


33.] 


1.65 


82.31 


0.51 






140 


14.16 


0.34 


94.17 








96 


31.47 


1.63 


81.85 


0.46 


0.29 




141 


14.47 


0.31 


94.73 


0.56 


26.31 






97 


29.86 


1.61 


81.44 


0.41 




1.40 


142 


14.75 


0.98 


95.29 


0.56 




0.74 




98 


28.25 


1.61 


81.09 


0.35 






143 


15.00 


0.95 


95.84 


0.55 








99 


26.66 


1.59 
1.57 


80.78 


0.31 
0.26 


10.69 




144 


15.33 


0.93 
0.20 


96.39 


0.55 
0.54 


27.05 






100 


+ 25.09 




- 80.52 






1.38 


145 


- 15.43 




- 96.93 






0.68 




101 


23.54 


-1.55 


80.31 


+0.21 






146 


15.60 


-0.17 


97.46 


-0.53 








102 


22.00 


1.54 


80.14 


0.17 


12.07 




147 


15.74 


0.14 


97.98 


0.52 


37.73 






103 


20.49 


1.51 


80.01 


0.13 




1.35 


148 


15.85 


0.11 


98.49 


0.51 




0.63 




104 


19.01 


1.48 


79.93 


0.08 






149 


15.93 


0.08 


98.98 


0.49 








105 


17.55 


1.46 


79.89 


+0.04 


13.42 




150 


15.99 


0.06 


99.46 


0.48 


28.36 






106 


16.11 


1.44 


79.89 


0.00 




1.39 


151 


16.03 


0.04 


99.93 


0.47 




0.56 




107 


14.70 


1.41 


79.93 


-0.04 






152 


16.04 


-0.01 


100.38 


0.45 








108 


13.31 


1.39 


80.01 


0.08 


14.74 




153 


16.03 


+0.01 


100.83 


0.44 


28.93 






109 


11.95 


1.36 
1.34 


80.12 


0.11 
0.15 




1.98 


154 


16.00 


0.03 
0.05 


101.24 


0.42 
0.40 




0.51 




110 


+ 10.61 




- 80.27 








155 


- 15.95 




-101.64 










111 


9.30 


-1.31 


80.45 


-0.18 


16.02 




156 


15.88 


+0.07 


102.02 


-0.38 


29.43 






112 


8.02 


1.28 


80.66 


0.21 




1.24 


157 


15.79 


0.09 


102.38 


0.36 




0.45 




113 


6.77 


1.95 


80.90 


0.24 






158 


15.68 


0.11 


103.73 


0.34 








114 


5.55 


1.22 


81.18 


0.28 


17.26 




159 


15.56 


0.12 


103.04 


0.39 


29.88 






115 


4.37 


1.18 


81.48 


0.30 




1.20 


160 


15.42 


0.14 


103.34 


0.30 




0.38 




116 


3.23 


1.15 


81.81 


0.33 






161 


15.26 


0.16 


103.63 


0.29 








117 


2.11 


l.U 


82.16 


0.35 


18.46 




162 


15.10 


0.16 


103.89 


0.96 


30.36 






118 


+ 1.03 


1.08 


82.53 


0.37 






163 


14.92 


0.18 


104.13 


0.94 








119 


- 0.02 


1,05 
1.02 


82.92 


0.39 
0.42 




1.15 


164 


14.72 


0.90 
0.90 


104.35 


0.99 
0.90 




0.31 




120 


- 1.04 




- 83.34 




19.61 




165 


- 14.52 




-104.55 




30.57 






121 


2.02 


-0.98 


83.77 


-0.43 




1.10 


166 


14.30 


+0.92 


104.73 


-0.18 




0.94 




123 


2.97 


0.95 


84.22 


0.45 






167 


14.07 


0.93 


104.88 


0.15 








123 


3.88 


0.91 


84.69 


0.47 


20.71 




168 


13.84 


0.23 


105.01. 


0.13 


30i81 






124 


4.76 


0.88 


85.18 


0.49 




1.06 


169 


13.60 


0.94 


105.12 


■ 0.11 




0.19 




125 


5.61 


0.85 


85.69 


0.51 






170 


13.35 


0.95 


,■ 105.20 


0.08 








126 


6.42 


0.81 


86.21 


0.52 


21.77 




171 


13.09 


0.26 


105.26 


0.06 


31.00 






127 


7.19 


0.77 


86.74 


0.53 




1.02 


172 


12.83 


0.26 


105.29 


0.03 




0.13 




128 


7.93 


0.74 


87.29 


0.55 






173 


12.57 


■ 0.26 


105.30 


-0.01 








129 


8.63 


0.70 
0.67 


87.84 


0.55 
0.56 


22.79 




174 


12.31 


0.26 
0.96 


105.29 


+0.01 
0.04 


31.13 






130 


- 9.30 




- 88.40 






0.97 


175 


- 12.05 




-105.25 






+0.06 




131 


9.94 


-0.64 


88.97 


-0.57 






176 


11.79 


+0.26 


105.19 


+0.06 








132 


10.54 


0.60 


89.54 


0.57 


23.76 




177 


11.53 


0.26 


105.10 


0.09 


31.19 






133 


11.11 


0.57 


90.12 


0.58 




+0.90 


178 


11.27 


0,26 


104.99 


0.11 




0.00 




134 


11.65 


0.54 


90.70 


0.68 






179 


11.02 


0.25 


104.85 


0.14 








135 


- 12.15 


-0.50 


- 91.28 


-0.58' 


+ 24.66 1 


180 


- 10.76 


+0.96 


-104.69 


+0.16 


+ 31.19 







19 











TABLE IV. Continued. 










PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH 


DECIMAL. 










Terms multiplied with (. Argument = 


--M. 










Arg. 


f 


DifF. 


v' 


DifF. 


C 


Diff. 


Arg. 


? 


DifF. 


v' 


DifF. 


f 


DifF. 


180 


- 10.76 




-104.69 




+ 31.19 




O 

225 


- 18.05 




- 80.05 




+ 33.63 




tsi 


10.51 


+0.25 
0.24 


104.50 


+0.19 
0.31 




-0.07 


226 


18.88 


-0.83 
0.86 


79.40 


+0.65 
0.64 




-0.97 


182 


10.27 




104.29 








237 


19.74 




78.76 








183 


10.03 


0.24 


104.06 


0.23 


31.13 




228 


30.64 


0.90 


78.14 


0.63 


23.66 




184 


9.80 


0.23 


103.81 


0.25 




0.13 


339 


21.57 


0.93 


77.53 


0.61 




1.02 


185" 


9.58 


0.22 


103.53 


0.28 






230 


22.54 


0.97 


76.93 


0.60 






186 


9.37 


0.21 


103.33 


0.30 


30.99 




231 


23.55 


1.01 


76.35 


0.68 


31.64 




187 


9.17 


0.20 
0.18 


103.91 


0.32 
0.35 




0.20 


233 


24.59 


1.04 
1.08 


75.79 


0.56 
0.54 




1.07 


188 


8.99 




102.56 








233 


25.67 




75.35 








189 


8.81 


0.18 
0.16 


103.19 


0.37 
0.39 


30.79 




234 


26.78 


1.11 
1.15 


74.73 


0.52 
0.50 


20.57 




190 


- 8.65 




-101.80 






0.26 


235 


- 27.93 




- 74.23 






1.11 


191 


8.51 


+0.14 
0.13 


101.40 


+0.40 
0.43 






336 


39.11 


-1.18 
1.21 


. 73.76 


+0.47 
0.45 






192 


8.38 


100.97 


30.53 




337 


30.33 


73.31 


19.46 








0.11 




0.45 










1.25 




0.42 






193 


8.37 


0.09 


100.53 


0.47 




0.32 


338 


31.57 


1.28 


72.89 


0.39 




1.15 


194 


8.18 


0.07 


100.05 


0.48 






339 


33.85 


1.31 


72.50 


0.36 






195 


8.11 


99.57 


30.31 




240 


34.16 


73.14 


18.31 








0.05 




0.50 










1.34 




0.33 






196 


8.06 


0.04 


99.07 


0.52 




0.39 


241 


35.50 


1.37 


71.81 


0.30 




1.20 


197 


8.02 




98.55 








242 


36.87 




71.51 








198 


8.00 


+0.02 


98.01 


0.54 


29.82 




243 


38.37 


1.40 


71.25 


0.20 


17.11 




199 


8.00 


0.00 
-0.03 


97.45 


0.56 
0.57 




0.45 


244 


39.70 


1.43 
1.46 


71.03 


' 0.23 
0.19 




1.24 


200 


- 8.03 




- 96.88 








245 


- 41.16 




- 70.83 








201 


8.08 


-0.05 


96.29 


+0..S9 


29.37 




246 


42.65 


-1.49 


70.68 


+0.15 


15.87 




203 


8.16 


0.08 


95.69 


0.60 




0.52 


347 


44.17 


1.52 


70.57 


0.11 




1.28 


203 


8.36 


0.10 


95.07 


0.62 






348 


45.72 


1.55 


70.49 


0.08 






204 


8.39 


0.13 


94.44 


0.63 


28.85 




349 


47.30 


1.58 


70.46 


+0.03 


14.59 




205 


8.54 


0.15 


93.80 


0.64 




0.58 


350 


48.90 


1.60 


70.47 


-0.01 




1.31 


206 


8.72 


0.18 


93.15 


0.65 






251 


.50.52 


1.62 


70.53 


0.05 






207 


8.93 


0.21 


92.49 


0.66 


28.27 




252 


52.16 


1.64 


70.61 


0.09 


13.28 




308 


9.17 


0.34 


91.82 


0.67 






253 


53.82 


1.66 


70.75 


0.14 






209 


9.44 


0.27 
0.29 


91.14 


0.68 
0.68 




0.63 


254 


55.50 


1.68 
1.69 


70.93 


0.18 
0.24 




1.34 


210 


- 9.73 




- 90.46 




27.64 




255 


- 57.19 




- 7J.17 




11.94 




211 


10.05 


-0.32 


89.77 


+0.69 




0.69 


256 


58.90 


—1.71 


71.45 


-0.28 




1.37 


212 


10.41 


0.36 


89.07 


0.70 






257 


60.63 


1.73 


71.79 


0.34 






213 


10.80 


0.39 


88.37 


0.70 


26.95 




258 


62.38 


1.75 


73.18 


0.39 


10.57 




214 


11.22 


0.42 


87.67 


0.70 




0.76 


259 


64.14 


1.76 


73.63 


0.44 




1.40 


215 


11.67 


0.45 


86.96 


0.71 . 






260 


65.92 


1.78 


73.11 


0.49 






216 


12.15 


0.48 


86.25 


0.7J 


26.20 




361 


67.70 


1.78 


73.66 


0.55 


9.17 




217 


12.67 


0.62 


85.55 


0.70 




0.80 


362 


69.49 


1.79 


74.36 


0.60 




1.43 


218 


13.22 


0.55 


84.84 


0.71 






263 


71.29 


1.80 


74.93 


0.66 






219 


13.81 


0.59 
0.63 


84.14 


0.70 
0.70 


25.40 




264 


73.09 


1.80 
1.80 


75.63 


0.71 
0.77 


7.74 




230 


- 14.43 




- 83.44 






0.86 


265 


- 74.89 




- 76.40 






1.45 


221 


15.08 


-0.65 


82.75 


+0.69 






266 


76.70 


-1.81 


77.23 


-0.83 






223 


15.77 


0.69 


83.06 


0.69 


24.54 




267 


78.51 


1.81 


78.13 


0.89 


6.29 




223 


16.49 


0.73 


81.38 


0.68 




-0.91 


268 


80.31 


1.80 


79.07 


0.96 




-1.46 


224 


17.25 


0.76 


80.71 


0.67 






369 


83.11 


1.80 


80.09 


1.02 






225 


- 18.05 


-0.80 


- 80.05 


+0.66 


+ 23.63 


« 


270 


- 83.90 


-1.79 


- 81.16 


-1.07 


+ 4.83 





20 



TABLE lY .—Qontinued. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 

Terms multiplied with t. Argument =^ M. 



Arg. 



270 
271 
272 
273 
274 
275 
276 
277 
278 
279 

280 
281 
283 
283 
284 
285 
286 
287 
288 
289 

290 
291 
292 
293 
294 
295 
296 
297 
298 
299 

300 
301 
302 
303 
304 
305 
306 
307 
308 
309 

310 
311 
312 
313 
314 
315 



- 83.90 
85.68 
87.46 
89.23 
90.98 
92.71 
94.43 
96.13 
97.81 
99.46 

-101.08 
] 02.68 
104.24 
105.76 
107.25 
108.71 
110.13 
111.50 
112.82 
114.09 

-115.32 
116.50 
117.62 
118.68 
119.69 
120.64 
121.52 
122.33 
123.07 
123.75 

-124.36 
124.89 
125.34 
125.71 
126.00 
126.21 
126.34 
126.38 
126.35 
126.22 

-126.01 
125.71 
125.32 

■ 124.83 
124.25 

-123.58 



Diff. 



-1.78 
1.78 
1.77 
1.75 
1.73 
1.72 
1.70 
1.68 
1.65 

1.62 

-1.60 
1.56 
1.52 
1.49 
1.46 
1.42 
1.37 
1.32 
1.27 

1.23 

-1.18 
1.12 
1.06 
1.01 
0.95 
0.88 
0.81 
0.74 
0.68 

0.61 

-0.53 
0.45 
0.37 
0.29 
0.21 
0.13 
-0.04 
+0.03 
0.13 

0.21 

+D.30 
0.39 
0.49 
0.68 

+0.67 



- 81.16 

82.29 
83.49 
84.75 
86.07 
87.45 
88.90 
90.41 
91.97 
93.60 

- 95.29 
97.04 
98.86 

100.74 
103.68 
104.67 
• 106.72 
108.84 
111.01 
113.24 

-115.52 
117.86 
120.25 
122.69 
125.18 
137.72 
130.31 
132.95 
135.63 
138.36 

-141.12 
143.92 
146.76 
149.63 
152.53 
155.46 
158.41 
161.39 
164.39 
167.41 

-170.44 
173.49 
176.54 
179.59 
182.65 

-185.72 



Diff. 



-1.13 
1.20 
1.26 
1.32 
1.38 
1.45 
1.61 
1.56 
1.63 

1.69 

-1.75 
1.82 
1.88 
1.94 
1.99 
2.05 
2.12 
2.17 
2.23 



-^.34 
2.39 
2.44 
2.49 
2.64 
2.59 
2.64 
2.68 
2.73 

2.76 

-2.80 
2.84 
2.87 
2.90 
2.93 
2.95 
2.98 
3.00 
3.02 

3.03 

-3.05 
3.05 
3.05 
3.06 

-3.07 



f 



+ 4.83 



3.35 



1.87 



+ 0.38 



- l.U 



2.60 



4.08 



5..54 



6.99 



8.42 



9.83 



11.21 



12.55 



13.85 



15.10 



- 16.30 



Diff. 



1.48 



1.49 



1.49 



1.43 



Arg. 



1.38 



1.34 



1.30 



1.25 



-1.20 



315 
316 
317 
318 
319 
320 
321 
322 
323 
324 

325 
326 
327 
328 
329 
330 
331 
332 
333 
334 

335 
336 
337 
338 
339 
340 
341 
342 
343 
344 

345 
346 
347 
348 
349 
350 
351 
352 
353 
354 

355 
356 
357 
358 
359 
360 



-123.58 
122.82 
121.96 
121.01 
119.96 
118.82 
117.58 
116.25 
114.82 
113.30 

-111.68 

109.97 

108.16 

106.26 

104.28 

102.21 

100.05 

97.81 

95.48 

93.07 

- 90.58 
88.01 
85.36 
82.64 
79.85 
76.99 
74.06 
71.08 
68.04 
64.94 

- 61.78 
58.58 
55.33 
52.04 
48.71 
45.35 
41.96 
38.55 
35.11 
31.65 

- 28.17 
24.67 
21.18 
17.69 
14.19 

- 10.C9 



Diff. 



+0.76 
0.86 
0.95 
1.05 
1.14 
1.24 
1.33 
1.43 
1.62 

1.62 

+1.71 
1.81 
1.90 
1.98 
2.07 
2.16 
2.24 
2.33 
2.41 



+2.57 
2.65 
2.72 
2.79 
2.86 
2.93 
2.98 
3.04 
3.10 

3.16 

+3.20 
3.25 
3.29 
3.33 
3.36 
3.39 
3.41 
3.44 
3.46 

3.48 

+3.60 
3.49 
3.49 
3.60 

+3.50 



-185.72 
188.78 
191.83 
194.86 
197.88 
200.88 
203.86 
206.82 
209.75 
212.65 

-215.51 
218.34 
221.12 
223.85 
226.54 
229.19 
231.76 
234.89 
236.74 
239.13 

-241.46 
243.70 
245.87 
247.96 
249.97 
251.90 
253.74 
255.49 
257.15 
258.71 

-260.18 
261.55 
262.82 
263.99 
265.05 
266.00 
266.85 
267.59 
268.23 
268.75 

-269.16 
269.45 
269.64 
269.72 
269.68 

-269.53 



Diff. 



-3.06 
3.05 
3.03 
3.02 
3.00 
2.98 
2.96 
2.93 
2.90 



-2.83 
2.78 
2.73 
2.69 
2.65 
2.57 
2.63 
2.45 
2.39 

2.33 

-2.24 
2.17 
2.09 
2.01 
1.93 
1.84 
1.75 
1.66 
1.66 

1.47 

-1.37 
1.S7 
1.17 
1.06 
0.95 
0.85 
0.74 
0.64 
0.52 

0.41 

-0.29 
0.19 
-0.08 
+0.04 
+0.15 



C 



- 16.30 



17.45 



18.53 



19.55 



20.50 



21.38 



22.19 



22.92 



23.56 



24.12 



24.,5i) 



24.97 



25.26 



25.45 



25.55 



- 25.56 



Diff. 



0.88 



0.10 



-0.01 



21 



TABLE IN .—Continued. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 

ARGUMENT I. 



Arg. 


? 


Diif. 


v' 


Diff. 


o 




- 2528 


-832 


-15741 


+187 


1 


3360 


820 
807 


15554 


230 
271 


2 


4180 


15324 


3 


4987 


15053 






790 




313 


4 


5777 


772 


14740 


354 


5 


6549- 


762 
730 
705 


14386 


393 
432 
469 


6 


7301 


13993 


7 


8031 


13o61 


8 


8736 


13092 


9 


9415 


651 


12588 


539 


10 


-10066 


-621 


-12049 


+572 


11 


10687 




11477 


603 
632 


12 


11277 


557 


10874 


13 


11834 


10242 


14 


12357 


487 


9582 


686 


15 


12844 


8896 






449 






16 


13293 




8185 




17 


13704 


411 
372 


7453 


733 
752 


18 


14076 


331 


6701 


771 


19 


14407 


5930 






290 




786 


20 


-14697 


-248 


- 5144 


+799 


21 


14945 




4345 




22 


15151 


206 


3534 


810 


23 


15313 


162 


2714 


820 
827 
832 


24 


15432 




1887 


25 


15507 




1055 






— 31 




834 


26 


15538 


+ 13 


- 221 


834 


27 


15525 




+ 613 


832 


28 


15467 




1445 


h 


15366 


101 
144 


2273 


828 
820 


30 


-15222 




+ 3093 




31 


15035 


+187 


3905 


+812 
800 
786 
771 


32 


14805 




4705 


33 


14533 




5491 


34 


14221 




6262 


35 


13868 


353 


7015 


753 


36 


13476 


392 


. 7749 


734 


37 


13046 


430 


8460 


711 


38 


12580 


466 


9148 


688 


39 


12078 


502 
536 


9810 


662 
634 


40 


-11542 




+10444 




41 


10973 


+569 


11049 


+605 


42 


10374 


599 


11624 


575 


43 


9745 


629 


12166 


542 


44 


9088 


657 


12674 


508 


45 


- 8406 


+682 


+13147 


+473 



■22 



22 



21 



19 



17 



14 



11 



Diff. Arg. 



+ 4 



11 



14 



17 



+ 19 



+ 1 



45 
46 
47 
48 
49 
50 
51 
52 
53 
54 

55 
56 
57 
58 
59 
60 
61 
62 
63 
64 

65 
66 
67 
68 
69 
70 
71 
72 
73 
74 

75 

76 

77 

78 

79 

80- 

81 

82 

83 

84 

85 
86 
87 
88 
89 
90 



- 8406 
7700 
6972 
6225 
5459 
4677 
3882 
3077 
2263 
1443 

- 618 
+ 210 

1038 
1864 
2685 
3498 
4303 
5097 
5877 
6641 

+ 7387 

8114' 

8819 

9500 

10156 

10784 

11383 

11952 

12488 

12990 

+13458 
13889 
14283 
14638 
14954 
15229 
15464 
15656 
15807 
15916 

+15982 
16005 
15985 
15922 
15817 

+15670 



Diff. 



+706 
728 
747 
766 
782 
795 
805 
814 



+828 



821 
813 
805 
794 
780 
764 

746 

+727 
705 
681 
656 
628 
599 
569 
536 
502 

468 

+431 
394 
355 
316 
275 
235 
192 
151 
109 



+ 23 

- 20 

63 

105 

-147 



V 



+13147 
13583 
13982 
14342 
14661 
14941 
15179 
15374 
15528 
15639 

+15706 
15730 
15710 
15648 
15542 
15394 
15203 
14970 
14696 
14382 

+14029 
13637 
13208 
12743 
12243 
11709 
11144 
10548 
9923 
9272 

+ 8596 
7896 
7176 
6436 
5678 
4906 
4120 
3324 
2519 
1708 

+ 893 
+ 76 

- 741 
1555 
2364 

- 3167 



Diff. 






+436 
399 
360 
319 
280 
238 
195 
154 
111 

67 

+ 24 
- 20 
62 
106 
148 
191 
233 
274 
314 

353 

-392 
429 
465 
500 
534 
565 
596 
625 
651 

676 

-700 
720 
740 
758 
772 
786 
796 
805 
811 

815 

-817 
817 
814 
E09 

-803 



+ 19 



21 



22 



23 



23 



22 



20 



16 



13 



Diff. 



+ 2 



+ 1 



11 



22 



TABLE lY .—Gontinued. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 

ARGUMENT I. 



Arg. 



90 
91 
93 
93 
94 
95 
96 
97 
98 
99 

100 
101 
102 
103 
104 
105 
106 
107 
108 
109 

110 

ni 

112 
113 
114 
115 
116 
117 
118 
119 

120 
121 
122 
123 
124 
125 
126 
127 
,128 
129 

130 
131 
132 
133 
134 
135 



+15670 
15481 
15251 
14980 
14669 
14320 
13933 
13509 
13050 
12557 

+12031 
11474 

' 10887 
10272 
9630 
8964 
8275 
7566 
6838 
6093 

+ 5334 
4562 
3780 
2990 
21P4 
1393 

+ 591 

- 210 
1008 
1801 

- 2587 
3363 
4128 
4880 
5615 
6332 
7030 
7707 
8360 
8987 

- 9587 
10158 
10699 
11208 
11684 

-12126 



Biff. 



-189 
230 
271 
311 
349 
387 
424 
459 
493 

526 

-557 
587 
615 
642 



709 
728 
745 



-772 
782 
790 
796 
801 
802 
801 
798 
793 



-776 
765 
752 
735 
717 
698 
677 
653 
627 

600 

-571 
541 
509 
476 

-442 



- 3167 
3960 
4742 
5510 
6263 
6998 
7713 
8407 
9077 
9722 

-10340 
10929 
11488 
12015 
12509 
12968 
13392 
13779 
14128 
14438 

-14708 
14938 
15128 
15276 
15382 
15447 
15469 
15450 
15388 
15285 

-15140 
14955 
14729 
14464 
14159 
13817 
13438 
13023 
12573 
12090 

-11574 

11029 

10455 

9853 

9225 

- 8574 



Biff. 



-793 
782 
768 
753 
735 
715 
694 
670' 
645 



-589 
559 
527 
494 
459 
424 
387 
349 
310 



-230 

190 

148 

106 

65 

- 22 

- 19 



145 

+185 
226 
265 
305 
342 
379 
415 
450 
483 

516 

+545 
574 
602 
628 

+651 



Biff. 



- 11 



15 



19 



22 



25 



28 



30 



31 



32 



32 



32 



31 



30 



■28 



26 



- 24 



+ 1 



Arg. 



135 
136 
137 
138 
139 
140 
141 
142 
143 
144 

145 
146 
147 
148 
149 
150 
151 
152 
153 
154 

155 
156 
157 
158 
159 
160 
161 
102 
163 
164 

165 
166 

167 
168 
169 
170 
171 
172 
173 
174 

175 
176 

177 
178 
179 
180 



-12126 
12532 
12901 
18233 
13525 
13779 
13992 
14164 
14296 
14386 

-14434 
14441 
14406 
14329 
14210 
14051 
13850 
13610 
13331 
13013 

-12658 

12266 

11839 

11378 

10885 

10360 

9805 

9221 

8611 

7976 

- 7318 
6639 
5941 
5226 
4495 
3751 
2996 
2233 
1463 

- 689 

+ 87 

863 

1637 

2407 

3169 

+ 3922 



Diff. 



-406 
369 
332 
292 
254 
213 
172 
132 
90 

48 

- 7 
+ 35 
77 
119 
159 
201 
240 
279 
318 

355 

+392 
427 
461 
493 
525 
555 
584 
610 
635 

658 

+679 
698 
715 
731 
744 
755 
763 
770 
774 

776 

+776 
774 
770 
762 

+753 



- 8574 
7901 
7208 
6498 
5771 
5030 
4277 
3515 
2745 
1970 

- 1191 

- 411 
+ 367 

1141 
1910 
2671 
3422 
4161 
4886 
5594' 

+ 6284 

6954 

7601 

8224 

8822 

9392 

9933 

10443 

10921 

11366 

+11775 
12149 
12486 
12784 
13044 
13263 
13443 
13582 
13679 
13735 

+13749 
13721 
13652 
13540 
13388 

+13195 



.Biff. 



+673 
693 

, 710 
727 
741 
753 
762 
770 
775 

779 

+780 
778 
774 
769 
761 
751 
'739 
725 
708 

690 

+670 
647 
623 
598 
570 
541 
510 
478 
445 

409 

+374 
337 



219 

180 
139 
97 
56 

+ 14 



69 

112 

152 

-193 



Biff. 



24 



21 



19 



16 



13 



11 



+ 3 



+ 1 



23 



TABLE lY .—Continued. 

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 

ARGUMENT I. 



Arg. 



180 
181 
182 
183 
184 
185 
186 
187 
188 
189 

190 
191 
192 
193 
194 
195 
196 
197 
198 
199 

200 
201 
203 
203 
204 
205 
206 
207 
208 
209 

210 
2U 
212 
213 
214 
215 
216 
217 
218 
219 

220 
231 
232 
233 
224 
225 



+ 3922 
4604 
5393 
6107 
6803 
7479 
8134 
8766 
9372 
9951 

+10501 
11021 
11510 
11965 
12385 

- 12769 
13116 
13435 
13695 
13925 

+14115 
14263 
14369 
14433 
14455 
14433 
14369 
14263 
14113 
13922 

+13690 
13416 
13102 
12749 
12357 
11927 
11460 
10958 
10422 
9854 

+ 9254 
8624 
7967 
7283 
6575 

+ 5845 



Diff. 



+742 
729 
714 
696 
676 
655 
632 
606 
579 

550 

+520 
489 
455 
420 
384 
347 
309 
270 
230 

190 

+148 

106 

64 

+ 22 

- 22 

64 

106 

150 

191 



-274 
314 
353 
392 
430 
467 
S02 
536 
568 

600 

-630 
657 
684 
708 

-730 



+13195 

12961 
12687 
12374 
12024 
11636 
11211 
10752 
10259 
9734 

+ 9178 
8592 
7979 
7340 
6677 
5991 
5285 
4561 
3820 
3065 

+ 2297 

1520 

+ 734 

- 57 
651 

1647 
2441 
3232 
4018 
4795 

- 5563 
6319 
7060 
7785 
8491 
9177 
9840 

10479 
11091 
11675 

-12230 
J 2753 
13244 
13700 
14120 

-14504 



Diff. 



-234 
274 
313 
350 
388 
425 
459 
493 
525 



-586 
613 
639 
663 
686 
706 
724 
74: 
755 

768 

-777 
786 
791 
794 
796 
794 
791 
786 
777 

768 

-756 
741 
725 
706 
686 
663 
639 
612 
584 

555 

-523 
491 
456 " 
420 

-384 



C 



11 



14 



17 



21 



24 



28 



31 



35 



38 



40 



42 



44 



45 



45 



44 



Diff. 



Arg. 



+ 1 



225 
226 
227 
228 
229 
230 
231 
232 
233 
234 

235 
236 
237 
238 
239 
240 
241 
242 
243 
244 

245 
246 
247 
248 
249 
250 
251 
252 
253 
254 

255 
256 
257 
258 
259 
260 
261 
262 
263 
264 

265 
266 
267 
268 
269 
270 



r' 



+ 5845 
5094 
4325 
3539 
2739 
1926 
1103 

+ 273 

- 563 
1402 

- 2242 
3081 
3910 
4746 
5567 
6378 
7176 
7959 
8726 
9474 

-10200 
10904 
11583 
12234 
12857 
13449 
14010 
14537 
15028 
15483 

-15900 
16278 
16616 
16913 
17167 
17379 
17548 
17672 
17752 
17787 

-17778 
17733 
17634 
17480 
17292 

-17060 



Diff. 



-751 
769 
786 
800 
813 
823 
830 
836 



-839 
835 
830 
821 
811 
798 
783 
767 
748 



-704 
679 
651 
623 
592 
561 
527 
491 
455 

417 

-378 
338 
297 
254 
212 
169 
124 
80 

- 35 

+ 9 

+ 55 

99 

144 

188 

+232 



-14504 
14849 
15155 
15422 
15047 
15830 
15971 
16070 
16125 
16137 

-16105 
16029 
15911 
15748 
15543 
15295 
15005 
14673 
14301. 
13889 

-13439 

12951 

12427 

11867 

11274 

10649 

9993 

9309 

8597 

7860 

- 7100 
6318 
5517 
4698 
3864 
3017 
2159 
1293 

- 420 
+ 456 

+ 1334 
2212 
3087 
3956 
4818 

+ 5671 



Diff. 



267 
225 
183 
141 
99 
65 
-.12 

+ 32 

+ 76 
118 
163 
205 
248 
290 
332 
372 
412 

450 

+488 
524 
560 
593 
625 
656 
684 
712 
737 

760 

+782 
801 
819 
834 
847 
858 
866 
873 
876 

878 

+878 
875 



+8.53 



f 



44 



42 



40 



37 



33 



28 



22 



16 



- 2 



+ 5 



12 



20 



27 



35 



+ 42 



Diff. 



+ 2 



+ 7 



24 











TABLE IV. Oontinued. 










PERTURBATIONS OF THE CO-ORDINATES IN UNITS 


OF THE SIXTH DECIMAL. 












ARGUMENT I. 












Arg. 


? 


Diff. 


v' 


Diff.- 


f 


DifF. 


Arg. 


r 


Diff. 


v' 


Diff, 


? 


DifF- 


270 


-17060 




+ 5671 




+ 42 




O 

315 


+14682 




+ 9975 




+ 48 




271 


16784 


+276 


6511 


+840 




+ 6 


316 


15136 


+454 _ 


9211 


-764 




- 6 


272 


16465 


319 


7337 


826 






317 


15550 


414* 


8426 


785 






273 


16104 


361 


8146 


809 


48 




318 


15923 


373 


7621 


805 


42 




274 


15702 


402 


8937 


791 




6 


319 


16254 


331 


6799 


822 




6 


275 


15260 


442 


' 9707 


770 






320 


16542 


288 


5961 


838 






276 ' 


14779 


481 


10454 


747 


54 




321 


16786 


244 


5111 


850 


36 




277 


14260 


519 


11176 


722 




5 


322 


16986 


200 


4250 


861 




6 


278 


13705 


565 


11872 


696 






323 


17142 


156 


3380 


870 






279 


13115 


690 
624 


12539 


667 
636 


59 




324 


17252 


110 
65 


2505 


875 
879 


30 




280 


-12491 




+13175 






4 


325 


+17317 




+ 1626 






7 


281 


11835 


+656 


13780 


+605 






326 


17337 


+ 20 


+ 745 


-881 






282 


11149 


686 


14351 


571 


63 




327 


17312 


- 25 


- 135 


880 


23 




283 


10434 


716 


14887 


536 




3 


328 


17241 


71 


1011 


876 




6 


284 


9692 


742 


15386 


499 






329 


17125 


116 


1882 


871 






285 


8926 


766 


15847 


461 


60 




330 


16965 


160 


2745 


863 


17 




286 


8137 


789 


16269 


422 




3 


331 


16760 


205 


3598 


853 




7 


287 


7327 


810 


16651 


382 






332 


16511 


249 


4438 


840 






288 


6498 


829 


16991 


340 


69 




333 


16220 


291 


5263 


825 


10 




289 


5653 


845 
859 


17289 


298 
265 




1 


334 


15887 


333 

374 


6072 


809 
790 




6 


290 
291 


- 4794 
3922 


+872 
881 
889 
894 


+17544 
17755 


+211 


70 




335 
336 


+15513 
15099 


-414 


- 6862 
7630 


-768 


+ 4 




299 
293 


3041 
2152 


17921 
18043 


166 
122 




+ 1 


337 
338 


14646 
14156 


453 
490 


8376 
9097 


746 
721 




5 


294 


1258 


18120 


77 


71 




339 


13630 


526 


9790 


693 


- 1 




295 

296 


362 
+ 535 


896 '• 

897 

895 

891 

884 


•18151 
18137 


+ 31 
.- 14 




- 1 


340 
341 


13069 
12475 


661 
594 


10455 
11089 


665 
634 




5 


297 


1430 


18077 


60 


70 




342 


11849 


626 


11691 


602 


6 




298 
299 


2321 
3205 


17972 
17823 


105 
149 




1 


343 
344 


11193 
10510 


656 
683 


12259 
12793 


568 
534 




5 






875 




195 










709 




497 






300 
301 
302 
303 
304 
305 
306 
307 
308 


+ 4080 
4944 
5794 
6629 
7446 
8242 
9017 
9768 
10492 


+864 
860 
835 
817 
796- 
775 
761 
734 
696 


+17628 
17389 
17107 
16783 
16416 
16008 
15561 
15075 
14552 


-239 
282 
324 
367 
408 
447 
486 
523 


69 
66 
63 


•3 
3 
4 


•345 
, 346 

347 
'■'348 

349 

350 '.■ 

351" 

352 

353 


+ 9801 
9067 
8311 
7535 
: 6741 
5932 
5109 
■4275 
•3432. 


-734 
756 
776 
794" 
809 
823 
834 
843 


-13290 

13748 
14168 
14548 
14886 
15183 
15437 
15647 
15814 


-458 
420 
380 
338 
297 
254 
210 
167 


11 

15 
18 


4 
3 

a 


309 


11188 


13993 


559 


59 




354 


2582 ' 


850 ■ 


15937 


1S3 


20 








667 




593 










•8M 




79 






310 


+11855 


+635 
602 
567 
530 


+13400 


-626 




5 


355 


+ 1728 




-16016 






1 


311 


12490 


12774 






356 


871 


-857 :.', 


■ 1,6050 


-34 






312 


13092 


12116 


658 


54 




357 


+ 16 


855 . 


16039 


+ 11 


a 




313 


13659 


11429 


687 

714 

-740 




- 6 


358 


- 838 


854 


15984 


55 




— 1 


314 
315 


14189 
+14682 


+493 


10715 
+ 9975 


+ 48 




359 
360 


1687 
- 2528 


849 
-841 


15884 
-15741 


100 
+143 


-2 





25 











TABLE IV. Continued. 












PERTURBATIONS OF THE CO-ORDINATES IN UNITS 


OF THE SIXTH DECIMAL. 












ARGUMENT 11. 














Arg. 


?' 


Diff. 


V< 


UiltF. 


f 


Diff. 


Arg. 


? 


Diff. 


v' 


Diff 


i' 


Diff. 




o 



1 

2 


+ 3698 
3953 
4206 


+255 
253 


-14558 
14500 
14437 


+ 58 
63 


- 64 


-18 




45 
46 

47 


+12944 
13077 
13205 


+133 
128 


- 8037 
7817 
7595 


+220 
222 


-287 


-10 




3 


4458 


252 


14370 


67 


82 




48 


13330 


125 


7370 


225 


297 






4 
5 


4709 
4958 


251 
249 
248 
246 
244 
243 


14299 
14223 


71 
76 
80 




17 


49 

50 


13451 
13567 


121 
116 


7143 
6914 


227 
229 




9 




6 


5206 


14143 


99 




51 


13680 


113 


6683 


231 


306 






7 
8 
9 


5452 
5696 
5939 


14058 
13970 
13877 


85 
88 
93 


117 


18 


52 
53 
54 


13788 
13892 
13992 


108 
104 
100 


6450 
6215 

5978 


233 
235 
237 


315 


9 








241 




97 










96 




239 








10 
11 


+ 6180 
6419 


+239 
237 
235 
232 
231 
228 
226 
224 
221 


-13780 
13678 


+102 
105 
110 
113 
118 
121 
126 
130 




17 


55 
56 


+14088 
14179 


+ 91 


- 5739 
5498 


+241 
242 
244 
245 




7 




12 


6656 


13573 


134 




57 


14266 


87 


5256 


322 






13 
14 


6891 
7J23 


13463 
13350 




16 


58 
59 


14349 
14427 


83 
78 


5012 
4767 




7 




15 
16 


7354 

7582 


13232 
13111 


150 


17 


00 
61 


14501 
14571 


74 
■70 


4520 
4272 


247 
248 
250 
251 


• 329 


5 




17 
18 


7808 
8032 


12985 
12855 


167 




62 
63 


14636 
14696 


65 
60 


4022 
3771 


334 






19 


8253 


12722 


133 






64 


14753 


57 


3519 


252 












219 




137 




15 






52 




253 




5 




20 
91 


+ 8472 
8688 


+216 
214 
211 
208 
205 
202 
199 
1M7 
193 


-12585 
12443 


+142 
145 
148 
153 
156 
159 
164 
166 
170 


182 




65 
66 


+14805 
14852 


+ 47 


- 3266 
3012 


+254 
255 
255 

*257 
257 
258 
258 
259 
259 


339 






22 
23 
24 


8902 
9113 
9321 


12298 
12150 
11997 


198 


16 


67 
68 
69 


14895 
14933 
14967 


43 
38 
34 


2757 
2502 

2245 


343 


4 




25 

26 
27 


9526 
9728 
9927 


11841 
11682 
11518 


212 


■14 


70 
71 

72 


14996 
15021 
15041 


29 
25 
20 


1988 
1730 
1472 


346 


3 




28 
29 


10124 
10317 


11352 
11182 




15 


73 
74 


15056 
15067 


15 

11 


1213 

954 




1 








190 




174 










6 




260 








30 
31 
33 


+10507 
10694 

10877 


+187 
183 
181 
177 
173 
170 


-11008 
10831 
10651 


+177 
180 
183 
186 
190 
193 


227 


13 


75 

76 

77 


+15073 
15075 
15072 


+ 2 
- 3 


- 694 
434 

- 174 


+260 
260 
260 
260 
259 
260 
260 
259 
258 


347 


- 1 




33 


11058 


10468 


240 




78 


15065 


7 
12 
16 
21 


+ 86 


348 






34 


11235 


10282 




13 


79 


15053 


346 









35 
36 


11408 
11578 


10092 
9899 


253 




80 
81 


15037 
15016 


605 

865 


348 






37 
38 
39 


11744 
11907 
12067 


166 
163 
160 


9704 
9505 
9303 


195 
199 
202 


265 


12 


82 
83 
84 


14990 
14960 
14925 


26 
30 
35 


1125 

• 1384 

1642 


347 


+ 1 








155 




204 










39 




259 








40 
41 


+12222 
12374 


+152 


- 9099 
8892 


+207 




12 


85 
86 


+14886- 
14842 


- 44 


+ 1901 
2158 


+257 
257 
256 
256 

+254 




1 




42 


12523 


149 


8682 


210 


277 




87 


14794 


48 


2415 


346 






43 


12667 


144 


8470 


212 




-10 


88 


14741 


53 


2671 




+ 3 




44 
45 


12807 
+12944 


140 
+137 


8255 
- 8037 


215 
+218 


-287 




89 
90 


14684 
+14623 


57 
- 61 


2927 
+ 3181 


-343 







26 











TABLE lY .—Continued. 












PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH 


DECIMAL. 












ARGUMENT II. 












Arg. 


f 


Diff. 


v' 


DifF. 


i' 


Diff. 


Arg. 


f 


Diff. 


n< 


Diff. 


f . 


Diff. 




O 

90 


+14623 




+ 3181 




-343 




o 

135 


+ 7759 




+12560 




-197 






91 


14557 


- 66 


3435 


+264 




+ 4 


136 


7532 


-227 


12700 


+140 




+15 




92 


14486 


71 


3688 


253 






137 


7303 


229 


12835 


135 








93 


14411 


75 


3939 


251 


339 




138 


7072 


231 


12966 


131 


182 






94 


14332 


79 


4189 


250 




5 


139 


6838 


234 


13093 


127 




16 




95 


14248 


84 


4438 


249 






140 


6603 


235 


13217 


124 








96 


14160 


88 


4686 


248 


334 




141 


6365 


238 


13336 


119 


166 






97 


14068 


92 


4932 


246 




6 


142 


6126 


239 


13452 


116 




16 




98 


13971 


97 


5177 


245 






143 


5884 


242 


13563 


111 








99 


13870 


101 
105 


5421 


244 
241 


328 




144 


5641 


243 
245 


13670 


107 
103 


150 






100 


+13765 




+ 5662 






6 


145 


+ 5396 




+13773 






17 




101 


13656 


-109 


5902 


+240 






146 


5150 


-246 


13872 


+ 99 








102 


13543 


113 


6141 


239 


322 




147 


4902 


248 


13966 


94 


133 






103 


13426 


117 


6377 


236 




8 


148 


4652 


250 


14056 


90 




17 




104 


13304 


122 


6611 


234 






149 


4401 


251 


14142 


86 








105 


13178 


126 


6843 


232 


314 




150 


4148 


253 


14224 


82 


116 






106 


13049 


129 


7074 


231 




8 


151 


3895 


253 


14301 


77 




17 




107 


12915 


134 


7302 


228 






152 


3640 


255 


14374 


73 








108 


12778 


137 


7528 


226 


30C 




153 


3383 


257 


14443 


69 


99 






109 


12637 


141 
146 


7751 


223 
222 




9 


154 


3126 


257 
258 


14507 


64 
60 




18 




no 


+12491 




+ 7973 








155 


+ 2868 




+14567 










111 


12342 


—149 


8192 


+219 


297 




156 


2609 


-259 


14622 


+55 


81 






112 


12190 


152 


8408 


216 




10 


157 


2350 


259 


14673 


51 




18 




113 


12033 


157 

* 


8622 


214 






158 


2089 


261 


14719 


46 








114 


11873 


160 


8833 


2)1 


287 




159 


1828 


261 


14761 


42 


63 






115 


11709 


164 


9042 


209 




11 


160 


1566 


262 


14798 


37 




18 




116 


11542 


167 


9248 


206 






161 


1304 


262 


14831 


33 








117 


11371 


171 


9451 


203 


276 




162 


1041 


263 


14860 


29 


45 






118 


11197 


174 


9651 


200 






163 


778 


263 


14884 


24 








119 


11019 


178 
181 


9848 


197 
195 




11 


164 


515 


263 
263 


14903 


19 
14 




18 




120 


+10838 




+10043 




265 




165 


+ 252 




+14917 




27 






121 
122 


10653 
10466 


-185 
187 


10234 
10422 


+191 
188 




12 


166 
167 


- 12 
275 


-264 
263 


14927 
14933 


+ 10 
6 




18 




123 

124 
125 


10275 

10081 

9884 


191 
194 
197 


10607 
10789 
10967 


185 
182 
178 


253 


13 


168 
169 
170 


539 

802 

1065 


264 
263 
263 


14934 
14930 
14922 


+ 1 

- 4 

8 


- 9 


18 




126 


9684 


200 


11142 


175 


240 




171 


1328 


263 


14910 


12 


+ 9 






127 


9481 


203 


11314 


172 




14 


172 


1590 


262 


14893 


17 




19 




128 


9275 


206 


11483 


169 






173 


1852 


262 


14871 


22 








129 


9067 


208 
212 


11647 


164 
162 


220 




174 


2113 


261 
261 


14844 


27 
31 


28 






130 


+ 8855 




+11809 






14 


175 


- 2374 




+14813 






18 




131 


8641 


—214 


11967 


+158 






176 


2634 


-260 


14778 


- 35 








132 
133 
134 


8424 

8205 
7983 


217 
219 
222 


12121 
12271 
12418 


154 
150 
147 


212 


+ 15 


177 
178 
179 


2894 
3152 
3409 


260 
258 
257 


14739 
14695 
14646 


39 
44 
49 


46 


+ 18 




135 


+ 7759 


-224 


+12560 


+144 


-197 




180 


- 3666 


-257 


+14592 


- 54 


+ 64 







27 











TABLE \N .—Continued. 












PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH 


DECIMAL. 












ARGUMENT II. 












Arg. 


? 


Biff. 


n' 


Diff. 


c 


Diff. 


Arg. 


? 


Diff 


n' 


Diff. 


f' 


Diff. 




180 


- 3666 


-255 


+14592 


- 57 


+ 64 




225 


-18966 


—134 


+ 8058 


-221 


+ 287 






181 


3921 


254 


14535 


63 




+ 18 


226 


13100 


129 


7831 


224 




+ 10 




182 


4175 


253 


14472 


67 






337 


13339 


126 


7607 


226 








183 


4428 


232 


14405 


71 


82 




228 


13355 


122 


7381 


228 


297 






184 


4680 


14334 




17 


239 


13477 


7153 




9 








S50 




75 










117 




230 








185 


4930 


249 
247 
245 
244 


14259 


80 
84 
89 
93 






230 


13594 


114 

109 
105 
101 


6923 


233 
234 
237 
238 








186 


5179 


14179 


99 




331 


13708 


6690 


306 






187 


5426 


14095 




18 


232 


13817 


6456 




9 




188 


5671 


14006 






233 


13932 


6319 








189 


5915 


13913 


117 




234 


14033 


5981 


315 










242 




97 










96 




240 








190 


- 6157 


—240 


+13816 


—101 




17 


235 


-14119 


— 92 


+ 5741 


—242 




7 




191 


6397 


238 


13715 


105 






236 


14211 


88 


5499 


244 








192 


6635 


236 


13610 


110 


134 




237 


14299 


84 


5255 


245 


332 






193 


6871 


13500 




16 


238 


14383 


5010 




7 








234 




113 










79 




247 








194 


7105 


232 


13387 


118 






239 


14462 


75 


4763 


248 








195 


7337 


229 


13269 


122 


150 




240 


14537 


70 


4515 


249 


339 






196 


7566 


13147 




17 


241 


14607 


4366 




5 




197 


7794 


228 
225 


13021 


126 
130 






242 


14672 


65 
61 


4015 


251 
262 








198 


8019 




12891 




167 




243 


14733 




3763 




334 






199 


8341 


222 
220 


12758 


133 
138 




15 


244 


14790 


67 
52 


3510 


253 
255 




5 




200 


- 8461 


-218 


+12620 


—142 






245 


-14842 


- 48 


+ 3355 


-255 








201 


8679 




12478 




183 




246 


14890 




3000 




339 






202 


8894 


215 


12333 


145 




16 


247 


14933 


43 


3744 


256 




4 




203 


9106 


212 


12184 


149 






848 


14972 


39 


8487 


267 








204 


9315 


209 


12031 


153 


198 




249 


15006 


34 


2239 


258 


343 






205 


9521 


206 


11874 


157 




14 


350 


15035 


29 


1971 


258 




3 




206 
207 
208 
209 


9725 

9926 

10124 

103] 8 


204 
201 
198 
194 

. 192 


11714 
11550 
11383 
11212 


160 
164 
167 
171 

174 


212 


15 


251 
253 
253 
254 


15060 
15080 
15096 
15107 


25 
20 
16 
11 

6 


1712- 
1453 
1193 
. 932 


259 
260 
260 
260 

260 


346 


1 




210 
211 
212 
213 
214 
215 
216 
217 
218 
219 


-10510 
10698 
10883 
11065 
11243 
11418 
11589 
11757 
11921 
12082 


-188 
185 
182 
178 
175 
171 
168 
164 
161 

157 


+11038 

10860 

10679 

10495 

10308 

10117 

9924 

9727 

9527 

9325 


-178 
181 
184 
187 
191 
193 
197 
200 
202 

206 


327 
240 
253 
265 


13 
13 
12 


255 
256 
257 
258 
259 
260 
861 
363 
363 
364 


-15113 
15115 
15112 
15104 
15092 
15075 
15053 
15027 
14997 
14963 


- 2 
+ 3 

8 
12 
17 
22 
26 
30 
35 

40 


+ 672 

411 

+ 150 

- Ill 

372 

633 

893 

1153 

1413 

1673 


-261 
261 
261 
261 
260 
261 
260 
260 
260 

258 


347 
348 
348 
347 


+ 1 


- 1 




220 
221 


-12239 
12392 


-153 


+ 9119 
8911 


-208 




12 


365 
366 


-14923 

14878 


+ 44 
49 
53 
58 

+ 63 


- 1931 
2190 


-269 
267 
257 
256 

-256 




1 




222 


12541 


149 


8700 


211 


277 




367 


14839 


2447 


346 






223 


12686 


145 


8486 


214 




+ 10 


268 


14776 


2704 




- 3 




224 
225 


12828 
-12966 


142 
-138 


8270 
+ 8052 


216 
■^'^ +287 




269 
870 


14718 
-14655 


2960 
- 3216 


+ 343 







28 











TABLE IV. Continued. 










PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH 


DECIMAL. 












ARGUMENT II. 










Arg. 


f 


Diff. 


„< 


Diff. 


C 


Diff. 


Arg. 


f 


Diff. 


n' 


Diff. 


C 


Diff. 


o 

270 


-14655 




- 3216 




+ 343 




315 


- 7737 




-12575 




+ 197 




271 


14588 


+ 67 


3470 


-254 




- 4 


316 


7509 


+228 


19713 


-138 




- 15 


279 


14517 


71 


3722 


252 






317 


7379 


230 


12847 


134 






273 


14441 


76 


3974 


252 


339 




318 


7047 


232 


12977 


130 


182 




274 


14361 


80 


4325 


251 




5 


319 


6819 


235 


13103 


126 




)6 


275 


14276 


85 


4474 


249 






320 


6576 


236 


13225 


122 






276 


14187 


89 


4723 


248 


334 




321 


6337 


239 


13343 


118 


166 




277 


14094 


93 


4969 


247 




6 


392 


6097 


240 


13457 


114 




16 


278 


13996 


98 


5214 


245 






323 


5854 


243 


13567 


110 






279 


13895 


101 
107 


5457 


243 
• 242 


328 




324 


5610 


244 
246 


13673 


106 
102 


150 




280 


-13788 




- 5699 






6 


325 


- 5364 




-13775 






17 


281 


13678 


+110 


5939 


-240 






326 


5117 


+247 


13872 


- 97 






282 


13564 


114 


6177 


238 


322 




327 


4868 


249 


13965 


93 


133 




283 


13445 


119 


6414 


237 




8 


328 


4618 


' 250 


140.54 


89 




17 


284 


13322 


123 


6648 


234 






329 ■ 


4366 


252 


14139 


85 






285 
286 


13196 
13065 


126 
131 


_ 6880 
7110 


232 
230 


314 


8 


330 
331 


4113 

3858 


253 
255 


14919 
14295 


80 
76 


116 


17 


287 


12930 


135 
139 
142 


7378 


228 






332 


3603 


255 


14367 


72 






288 
289 


12791 
12649 


7564 

7787 


226 
223 


306 




333 
334 


3346 
3089 


257 
257 


14434 
14497 


67 
63 


99 








147 




221 




9 






259 




59 




18 


290 


-12502 




- 8008 








335 


- 2830 




-14556 








291 
293 
293 


12352 
12198 
12040 


+150 
154 
158 


8227 
8443 
8656 


-219 
216 
213 


297 


10 


336 
337 
338 


2571 
2311 
2050 


+259 
260 
261 


14610 
14659 
14704 


- 54 
49 
45 


81 


18 


294 
295 
296 
297 
298 
299 


11878 
11713 
11544 
11372 
11197 
11018 


162 
165 
169 
172 
175 
179 

183 


8867 
9075 
9280 
9482 
9682 
9878 


211 
208 
205 
202 
200 
196 

194 


287 
276 


11 
11 


339 
, 340 
341 
342 
343 
344 


1789 
3527 
1305 
1002 
739 
476 


261 
262 
262 
263 
263 
263 

264 


14745 
14782 
.14814 
14841 
14863 
14881 


41 
37 
32 
27 
22 
18 

14 


63 
45 


18 
18 


300 
301 
302 
303 
304 
305 
306 
307 
308 
309 


-10835 

10650 

10461 

10268 

10073 

9875 

9673 

9469 

9262 

9052 


+185 
189 
193 
195 
198 
202 
204 
207 

. 210 

213 


-10072 
10263 
10450 
10634 
10815 
10993 
11167 
11338 
11505 
11669 


-191 
187 
184 
181 
178 
174 
171 
167 
164 

160 


265 
253 
240 
226 


12 
13 
14 


345 
346 
347 
348 
349 
350 
351 
352 
353 
354 


- 219 

+ 51 

314 

577 
840 
1103 
1366 
1628 
1889 
2150 


+263 
263 
263 
263 
263 
263 
262 
261 
261 

260 


-14895 
14904 
14909 
14909 
14904 
14895 
14882 
14864 
14841 
14814 


- 9 

- 5 


+ 5 
9 
13 
18 
23 _ 
27 

31 


27 
+ 9 
- 9 

28 


18 
18 
19 


310 
311 
312 
313 
314 


- 8839 
8624 
8406 
8185 
7962 


+215 
218 
321 
223 


-11829 
11986 
12139 
12288 
12433 


-157 
153 
149 
145 


212 


14 
-15 


355 
356 
357 
358 
359 


+ 2410 . 
2670 
2928 
3186 
3443 


+260 
258 . 
258 
257 


-14783 
14747 
14706 
14661 
14612 


+ 36 
41 
45 
49 


46 


18 
-18 


315 


- 7737 


+225 


-12575 


—142 

: 


+ 197 




360 


+ 3698 


+255 


-14558 


+ 54 


- 64 

































29 



TABLE lY .—Continued. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 

ARGUMENT 111. 



Arg. 



10 
11 

la 

13 
14 
15 
16 
17 
18 
19 

20 
21 
22 
23 
24 
25 
26 
27 
28 
29 

30 
31 
32 
33 
34 
35 
36 
37 
38 
39 

40 
41 
42 
43 
44 
45 



3825 
388& 
3947 
4006 
4063 
4120 
4175 
4229 
4282 
4333 

■ 4383 
4432 
4479 
4525 
4569 
4612 
4653 
4693 
4732 
4769 

4805 
4839 
4872 
4903 
4933 
4961 
4988 
5013 
5037 
5059 

5079 
5098 
5116 
5132 
5146 
5159 
5170 
5180 
5188 
5194 

5199 
5203 
5205 
5205 
5204 
5201 



Diff. 



61 
61 
59 
57 
57 
55 
54 
53 
51 



■ 49 
47 
46 
44 
43 
41 
40 
39 
37 

36 

• 34 
33 
31 
30 
28 
27 
25 



20 

19 
18 
16 
14 
13 
11 
10 



- 3624 
3556 
3487 
3417 
3347 
3275 
3202 
3129 
3054 
2979 

- 2902 
2825 
2747 
2668 
2588 
2508 
2427 
2345 
2263 
2180 

- 2096 
2011 
1926 
1841 
1755 
1668 
1581 
1494 
1406 
1317 

- 1229 
1140 
1051 

961 
871 
781 
691 
600 
510 
419 

- 328 
238 
147 

- 56 
+ 35 
+ 126 



Diff-. 



+ 68 
69 
70 
70 
72 
73 
73 
75 
75 

77 

+ 77 
78 
79 
80 
80 
81 
82 
82 
83 

84 

+ 85 
85 
85 
86 
87 
87 
87 



C 



90 
90 
90 
90 
91 
90 
91 

91 

+ 90 
91 
91 
91 

+ 91 



+ IS 



23 



27 



31 



35 



38 



41 



+ 44 



Diff-. 



Arg. 



+ 5 



+ 3 



+ 2 



45 
46 
47 
48 
49 
50 
51 
52 
53 
54 

55 
56 
57 
58 
59 
GO 
61 
62 
63 
64 

65 
66 
67 
68 
69 
70 
71 
72 
73 
74 

75 
76 
77 
78 
79 
80 
81 
82 
83 
84 

85 
86 
87 
88 
89 
90 



f 



5201 
5196 
5190 
5183 
5174 
5163 
5151 
5137 
5122 
5105 

5087 
5067 
5045 
5022 
4998 
4972 
4945 
4916 
4886 
4854 

4821 
4786 
4750 
4713 
4674 
4634 
4593 
4550 
4506 
4460 

4413 
4365 
4316 
4265 
4213 
4160 
4105 
4050 
3993 
3935 

■ 3875 
3815 
3754 
3691 
3628 

• 3563 



Diff-. 



+ 5 
6 
7 
9 
11 
12 
14 
15 
17 

18 

+ 20 
22 
23 
24 
26 
27 
29 
30 
32 

33 

+ 35 
36 
37 
39 
40 
41 
43 
44 
46 



49 
51 
52 
53 
55 
55 
57 
58 

60 

+ 60 
61 
63 
63 

+ 65 



126 
217 
307 

398 
488 
579 
669 
759 
848 
938 

1027 
1115 
1204 
1292 
1379 
1466 
1553 
1639 
1725 
1810 

1894 
1978 
2062 
2144 
2926 
2308 
2389 
2468 
2548 
2626 

2704' 

2780 

2856 

2932 

3006 

3079 

3151 

3223 

3293 

3363 

3431 
3499 
3565 
3631 
3695 
■ 3758 



Diff-. 



+ 91 
90 
91 
90 
91 
90 
90 
89 
90 



+ 88 



87 
87 
87 



85 

84 

+ 84 
84 
82 



81 
79 
80 
78 

78 

+ 76 
76 
76 
74 
73 
72 
72 
70 
70 

68 

+ 68 



64 
+ 63 



f 



Diff-. 



+ 46 



47 



48 



49 



49 



48 



47 



+ 45 



+ •2 



+ ] 



30 



TABLE lY .—Gontinued. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 

ARGUMENT III. 



Arg. 



90 
91 
92 
93 
94 
95 
96 
97 
98 
99 

100 
101 
102 
103 
104 
105 
106 
107 
108 
109 

110 
111 
112 
113 
114 
115 
116 
117 
118 
119 

120 
121 j 

122 
123 
124 
125 
126 
127 
128 
129 

130 
131 
132 
133 
134 
135 



- 3563 
3497 
3430 
3363 
3294 
3224 
3154 
3082 
3009 
2936 

2862 

2787. 

2711 

2634 

2557 

2478 

2399 

2320 

2239 

2158 

• 2077 
1994 
1911 
1828 
1744 
1659 
1574- 
1489 
1403 
1316 

1230 
1143 
1055 

967 

879 

791 

702 

613 

524 

435 

345 
256 
166 

77 

13 
103 



DifF. 



.+ 66 
67 
67 
69 
70 
70 
72 
73 
73 

74 

+ 75 
76 
77 
77 
79 
79 
79 
81 
81 

81 

+ 83 
83 
83 
84 
85 
85 
85 



+ 87 



88 



89 
90 

+ 89 
90 
89 
90 

+ 90 



+ 3758 
3820 
3881 
3941 
3999 
4057 
41)3 
4168 
4221 
4274 

+ 4325 
4375 
4424 
4471 

4517 
4561 
4605 
4647 
4687 
4726 

+ 4704 
4800 
4835 
4868 
4900 
4931 
4960 
4988 
5014 
5038 

+ 5061 
5083 
5103* 
5122 
5139 
5154 
5168 
5181 
5192 
5201 

+ 5209 
5215 
5220 
5223 
5224 

+ 5224 



DifF. 



61 
60 
S8 
88 
S6 
55 
63 
53 

51 

+ 50 
49 
47 
46 
44 
44 
42 
40 
39 

38 

+ 36 
35 
33 
32 
31 



26 
S4 

23 

+ 22 
SO 
19 
17 
15 
14 
13 
11 



f 



+ 45 



43 



40 



DifF. Arg. 



37 



34 



30 



26 



+ 21 



135 
136 
137 
138 
139 
140 
141 
142 
143 
144 

145 
146 
147 
148 
149 
150 
151 
152 
153 
154 



165 
166 
167 
168 
169 
170 
171 
172 
173 
174 

175 
176 

177 
178 
179 
180 



+ 103 
192 
282 
372 
461 
550 
640 
729 
818 
907 

+ 995 
1083 
1171 
1259 
1346 
1433 
1519 
1605 
1691 
1776 



155 


+ 1860 


156 


1944 


157 


2028 


158 


2111 


159 


2193 


160 


2275 


161 


2356 


162 


2436 


163 


2516 


164 


2595 



+ 2673 
2751 
2827 
2903 
2978 
3052 
3125 
3198 
3269 
3340 

+ 3409 
3478 
3545 
3612 
3677 

+ 3741 



DifF. 



90 
90 



90 



+ 88 
88 
88 
87 
87 
86 
86 
86 
85 

84 

+ 84 
84 
83 



81 
80 
80 
79 

78 

+ 78 
76 
76 
75 
74 
73 
73 
71 
71 



+ 69 
67 
67 
65 

+ 64 



+ 5224 
5223 
5220 
5215 
5209 
5201 
5192 
5181 
5168 
5154 

+ 5138 
5121 
5103 
5083 
5061 
5037 
5012 
4986 
4958 
4929 



+ 4510 
4463 
4415 
4366 
4315 
4263 
4210 
4155 
4099 
4042 

+ 3984 
3924 
3863 
3801 
3738 

+ 3674 



DifF. 



11 

13 
14 



• 17 
18 
20 
22 
24 
25 
26 



+ 4898 




4866 


- 32 


4832 


34 


4797 


35 


4760 


37 


4722 


38 


4682 


40 


4641 


41 


4599 


42 


4555 


44 



- 47 
48 
49 
51 
52 
53 
55 
56 
57 



61 



63 
■ 64 



+ 17 



DifF. 



12 



- 3 



14 



- 18 



- 4 



^: 



31 



TABLE lY . — Continued. 

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 

ARGUMENT III. 



Arg. 



180 
181 
182 
183 

184 
185 
186 
187 
188 
189 

190 
191 
192 
193 
194 
195 
196 
197 
198 
199 

200 

201 

202' 

203 

204 

205 

206 

207 

208 

209 

210 
211 
212 
213 
214 
215 
216 
217 
218 
219 

220 
221 
222 
223 
224 
225 



? 



+ 3741 
3804 
3866 
3927 
3987 
4046 
4103 
4159 
4314 
4268 

+ 4320 
4371 
4421 
4470 
4517 
4563 
4607 
4650 
4692 
4732 

+ 4771 
4808 
4844 
4879 
4912 
4943 
4973 
5002 
5029 
5054 

+ 5078 
5100 
5121 
5141 
5158 
5174 
5189 
5202 
5313 
5333 

+ 5831 
5337 
5242 
5246 
5247 

+ 5247 



Diff. 



+ 63 
63 
61 
60 
59 
57 
56 
55 
54 



+ 51 
50 
49 
47 
46 
44 
43 
42 
40 

39 

+ 37 
36 
35 
33 
31 
30 
S9 
27 
25 

24 

+ 22 
21 
20 
17 
16 
15 
13 
U 
10 



+ 6 
5 
4 

+ 1 




+ 3C74 
3608 
3543 
3474 
3405 
3335 
3264 
3193 
3119 
3045 

+ 2970 
2895 
2818 
2740 
2663 
2582 
2502 
2431 
3340 
2257 

+ 2174 
2090 
2005 
1930 
1834 
1748 
1661 
1573 
1485 
1397 

+ 1308 

1318 

1128 

1038 

947 

856 

765 

674 

583 

490 

+ 398 

306 

213 

121 

+ 28 

- 64 



Diff. 



66 
68 
69 
70 
71 
72 
73 
74 



75 
77 
78 
78 
80 
80 
81 
81 
83 



84 
85 
85 
86 
86 
87 



90 
90 
90 
91 
91 
91 
91 
92 
92 

92 

92 
93 
92 
93 



c 



18 



23 



27 



31 



35 



38 



41 



- 44 



Diff. 



Arg. 



225 
226 
227 
228 
229 
330 
231 
233 
233 
334 

235 
236 
237 
238 
239 
240 
241 
242 
243 
244 

245 
246 
247 
248 
249 
250 
251 
252 
253 
254 

255 
256 
257 
258 
259 
260 
361 
303 
363 
204 

265 
266 
267 
268 
269 
270 



+ 5247 
5346 
5243 
5238 
5231 
5223 
5214 
5203 
5190 
5175 

+ 5159 
5141 
5122 
5101 
5079 
5055 
5029 
5003 
4973 
4943 

+ 4911 

4877 
4842 
4806 
4768 
4739 
4688 
4645 
4601 
4556 

+ 4509 
446] 
441J 
4360 
4308 
4254 
4199 
4143 
4085 
4026 

+ 3966 
3905 
3842 
3778 
3713 

+ 3647 



Diff. 



■ 1 
3 

5 

7 

8 

9 

11 

13 

15 



■ 18 
19 
21 
22 



27 
29 
30 



■ 34 
35 
36 
38 
39 
41 
43 
44 
45 



■ 48 
50 
51 
52 
54 
55 
56 
58 
59 



61 
63 
64 
65 
66 



04 
157 
249 
342 
434 
527 
619 
711 
803 
894 

986 
1077 
1168 
1258 
1348 
1438 
1537 
1616 
1704 
1793 

1879 
1966 
30.53 
2137 
2223 
2306 
2390 
2473 
2555 
2636 

2716 
2796 
2874 
2953 
3029 
3105 
3180 
3254 
3327 
3399 

3470 
3540 
3609 
3676 
3743 
3808 



Diff. 



• 93 
92 
93 
92 
93 
92 
92 
92 
91 



91 
91 
90 
90 
90 



87 

■ 87 
86 
85 
85 
84 
84 
83 
82 
81 



80 
78 
78 
77 
76 
75 
74 
73 
72 

71 

■ 70 
69 
67 
67 

■ 65 



f 



46 



47 



49 



49 



48 



47 



- 45 



Diff. 



+ 1 



+ 3 



32 



TABLE IV. Oontinued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT HI. 


Arg. 


? 


Diff. 


v' 


Diff. 


c 


Diff. 


Arg. f 


Diff 


V' 


Diff 


f 


Diff 


o 

270 


+ 3647 




- 3808 




- 45 






315 


- 149 




- .5286 






+ 4 


271 


3579 


- 68 


3872 


- 64 






316 


242 


- 93 


5283 


+ 3 
5 

7 
8 






272 


3511 


68 


3935 


63 






317 


335 


93 


5278 






273 


3441 


70 


3997 


62 




+ 2 


318 


427 


92 


5271 


- 17 




274 


3370 


71 


4058 


61 






319 


519 


92 


5263 






275 


3298 


72 
72 


4117 


59 
58 






320 


611 


92 
92 


5253 


10 
12 






276 


3226 




4175 




43 




321 


703 




5241 


13 
14 
17 




5 


277 


3152 


74 


4231 


56 






322 


795 


93 


5228 






278 


3077 


75 


4287 


56 






323 


886 


91 


5214 






■279 


3001 


76 


4341 


54 




3 


324 


977 


91 


5197 


12 








77 




62 










91 




48 






280 


+ 2924 




- 4393 








325 


- 1068 




- 5179 








281 


2847 


- 77 


4445 


- 52 






326 


1158 


- 90 


5160 


+ 19 




5 


282 


2768 


79 


4495 


50 


40 




327 


1248^ 


90 


5139 


91 






283 


2689 


79 


4543 


48 






328 


1337 


89 


5116 


23 






284 


2608 


81 


4590 


47 






329 


1426 


89 


5092 


24 






285 


2537 


81 


4636 


46 




3 


330 


1515 


89 


5066 


26 


7 




286 


2445 


82 


4680 


44 






331 


1603 


88 


5038 


28 






287 


2363 


82 


4723 


43 






332 


1691 


88 


5009 


29 






288 


2279 


84 


4764 


41 ■ 


37 




333 


1778 


87 


4979 


30 




5 


289 


2195 


84 
85 


4804 


40 
38 






334 


1864 


86 
86 


4947 


33 

34 






290 


•+ 2110 




- 4842 






3 


335 


- 1950 




- 4913 








291. 


2025 


— 85 


■ 4879 


- 37 






336 


2035 


-86 


4878 


+ 35 


- 2 




292 


1939 


86 


4914 


35 






337 


2120 


85 


4842 


36 




. 


293 


1852 


87 
87 


4948 


34 






338 


2204 


84 


4804 


38 






294 


1765 


4980 


32 


34 




339 


2287 


83 


4764 


40 




5 


295 


1677 


88 


5011 


31 






340 


2369 


82 


4723 


41 






296 


1589 


88 


5040 


29 






341. 


2451 


82 


4681 


43 






297 


1500 


89 
89 
90 


5067 


S7 




4 


342 


2532 


81 


4637 


44 


+ 3 




298 


1411 


5093 


26 






343 


2612 


80 


4592 


45 






299 


1321 


5117 


24 






344 


2691 


79 


4545 


47 










90 




23 










78 




48 






300 


+ 1231 




- 5140 




30 




345 


- 2769 




- 4497 






6 


301 
302 
303 


1140 
1050 

958 


— 91 
90 
93 
91 
92 
92 
92 
92 
93 


5161 
5181 
5199 


— 21 
20 
18 
16 




4 


346 
347 

348 


2840 
2923 
2999 


- 77 
77 
76 


4448 
4397 
4345 


+ 49 
51 
53 


9 




304 


807 


5215 






349 


3073 


74 


4292 


53 






305 


775 


5230 


15 






350 


3147 


74 


4237 


55 






306 
307 


683 
591 


5243 
5254 


13 
11 


26 




351 
352 


3219 
3291 


72 
72 


4181 
4124 


56 
57 




5 


308 


499 


5264 


10 






353 


3362 


71 


4066 


58 






309 


406 


5272 


8 




5 


354 


3431 


69 


4006 


60 


14 








92 




6 










69 




61 






310 
311 


+ 314 
221 


- 93 
92 
93 
93 

- 92 


- 5278 
5283 


- 5 
3 

- 2 







355 
356 


- 3500 
3567 


- 67 


- 3945 

3883 


+ 62 






312 
313 


129 
+ 36 


5286 
5288 


- 21 




357 

358 


3633 

3098 


66 
65 


3820 
3756 


63 

64 




+ 4 


314 


- 57 


5288 






359 


3762 


64 


3690 


66 






315 


- 149 


- 5286 


+ 2 




+ 4 


360 


- 3825 


- 63 


- 3624 


+ 66 


+ 18 





33 



TABLE 1^ .—Continued. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 

ARGUMENT IV. 



Arg. 



10 
11 
12 
13 
14 
15 
16 
17 
18 
19 

20 
21 
22 
23 
24 
25 
26 
27 
28 
29 

30 
31 
32 
33 
34 
35 
36 
37 
38 
39 

40 
41 
43 
43 
44 
45 



DifF. 



+ 1157 
1320 
1479 
1633 
1783 
1927 
2066 
2198 
2324 
3443 

+ 2556 
2661 
2759 
3849 
2931 
3004 
3070 
3127 
3176 
3216 

+ 3247 
3270 
3284 
3289 
3285 
3273 
3252 
3223 
3185 
3139 

+ 3065 
3023 
2952 
2875 
2791 
2700 
3602 
2497 
2387 
2371 

+ 3149 
3023 
1891 
1756 
1617 

+ 1474 



+163 
159 
154 
150 
144 
139 
132 
126 
119 

113 

+105 
98 
90 
82 
73 
66 
57 
49 
40 

31 

+ 23 

14 

+ 5 

- 4 
12 
21 
29 
38 
46 

54 

- 63 
70 
77 
84 
91 
98 

105 
110 
116 



-126 
131 
135 
139 

-143 



- 3275 
3304 
3134 
3037 
2942 
2840 
3732 
3616 
2494 
2366 

- 2232 
2094 
1951 
1803 
1652 
1496 
1338 
1177 
1013 

847 

- 681 
513 
345 
176 

8 
+ 159 
324 
488 
650 
809 

+ 965 
1118 
1266 
1411 
1551 
1686 
1815 
1939 
2057 
2169 

+ 2274 
3373 
2464 
2548 
2625 

+ 2694 



Diff. 



+ 71 
80 
87 
95 
102 
108 
116 
122 
128 

134 

+138 
143 
148 
151 
156 
158 
161 
164 
166 

166 

+168 
168 
169 
168 
167 
165 
164 
162 
159 

156 

+153 
148 
145 
140 
135 
129 
124 
118 
112 

105 

+ 99 
91 

84 
77 



DifF. 



10 



13 



15 



15 



13 



- 10 



+ 2 



+ 4 



Arg. 


? 


DifF. 


7I< 


DifF. 


O 

45 
46 
47 


+ 1474 
1338 
1180 


-146 

148 


+ 2694 
2755 

3808 


+ 61 
53 


48 


1030 




2853 


37 
29 
21 
13 
+ 4 
- 4 


49 
50 


877 
734 


153 


2890 
2919 


51 
53 
53 
54 


570 

415 

260 

+ 106 


155 
155 
164 


2940 
2953 
3957 
2953 






153 




12 


55 
56 


- 47 
300 


-153 
150 


+ 2941 
2931 


- 20 

28 


57 


350 


2893 


58 


498 




3857 


44 


59 


644 




2813 


60 


787 




2762 




61 


926 




2703 




62 


1062 




2637 




63 


1194 




2564 




64 


1321 


122 


2485 


86 


65 
66 
67 
68 
69 
70 


- 1443 

1560 
1672 

1778 
1878 
1972 


-117 

112 

106 

100 

94 


+ 2399 
2307 
2309 
2106 
1997 
1883 


- 92 
98 
103 
109 
114 
118 
122 


71 

72 


2059 
2140 


81 


1765 
1643 


73 


2214 




1516 


129 


74 


3380 




1387 






60 




132 


75 
76 


- 2340 
2392 


- 52 


+ 1254 
1119 


-135 


77 


2437 




982 




78 


3474 


37 


843 




79 


2503 




702 




80 
81 
82 
83 


2525 
2539 
2545 
2543 


14 
- 6 
+ 2 


561 

418 

276 

+ 134 


143 
142 
142 
141 


84 


2534 




7 






17 




140 


85 
86 


- 2517 
3493 


+ 24 


- 147 

285 


-138 


87 


2461 




423 




88 


2422 


39 


556 




89 
90 


2376 
- 2323 


+ 53 


688 
- 816 


-128 



- 1 



+ 5 



DifF. 



+ 4 



10 



14 



18 



30 



+ 2 



+ 20 



34 



TABLE lY .—Gontinued. 

PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 

ARGUMENT IV. 



Arg. 



90 
91 
9'2 
93 
94 
95 
96 
97 
98 
99 

100 
101 
102 
103 
104 
105 
106 
107 
108 
109 

110 
Jll 
112 
113 
114 
115 
U6 
117 
118 
119 

120 
121 
122 
123 
124 
125 
126 
127 
128 
129 

130 
131 
132 
133 
134 
135 



f 



- 2323 
2263 
2197 
2124 
2045 
1961 
1870 
1775 
1675 
1570 

- 1460 
1347 
1230 

nio 

987 
862 
735 
606 
476 
345 

- 214 

- 82 
+ 49 

179 
308 
435 
561 
684 
604 
922 

+ 1036 
1146 
1252 
1353 
1450 
1542 
1628 
1708 
1783 
1851 

+ 1913 
1969 
2018 
2060 
2095 

+ 2122 



DifF. 



+ 60 
66 
73 
79 
84 
9. 
95 
100 
105 

110 

+113 
117 
120 
123 
125 
127 
129 
130 
131 

131 

+132 
131 
130 
129 
127 
126 
123 
120 
118 

114 

+110 
106 
101 
97 
92 
86 
80 
75 



62 

+ 56 
49 
42 
35 

+ 27 



- 8)6 
941 

1062 
1179 
1292 
1399 
1502 
1599 
1690 
1775 

- 1854 
1927 
1993 
2052 
2104 
•2149 
2187 
2218 
2241 
2257 

- 2265 
2266 
2260 
2246 
2224 
2196 
2160 
2117 
2068 
2011 

■ 1948 
1879 
1804 
1722 
1635 
1543 
1445 
1343 
1236 
1126 

1011 
893 
772 
648 
522 
394 



Diff. 



-125 
121 
117 
113 
107 
103 
97 
91 
85 



- 73 
66 
59 
52 
45 
38 
31 
23 
16 



36 
43 
49 

57 



+ 69 

75 

82 

87 

92 

98 

102 

107 

110 

115 

+118 
121 
124 
126 

+128 



i' 



+ 20 



19 



DifF. 



17 



13 



+ 4 



Arg. 



- 4 



135 
136 
137 
138 
139 
140 
141 
142 
143 
144 

145 
146 
147 
148 
149 
150 
151 
152 
153 
154 

155 
156 
157 
158 
159 
160 
161 
162 
163 
164 

165 
166 
167 
168 
169 
170 
171 
172 
173 
174 

175 
176 
177 
178 
179 
180 



+ 2122 
2143 
2156 
2162 
2161 
2152 
2136 
2112 
2081 
2043 

+ 1998 
1946 
1887 
1821 
1749 
1671 
1586 
1496 
1400 
1298 

+ 1192 
1081 
965 
846 
722 
595 
466 
334 
199 

+ 62 

- 75 
214 
354 
494 
633 
772 
910 

1047 
1182 
1314 

- 1444 
1571 
1694 
1814 
1929 

- 2040 



DifF. 



+ 21 

13 

+ 6 

- 1 
9 

16 
24 
31 
38 

45 

- 52 

59 
66 
72 
78 
85 
90 
96 
102 

106 

-111 
116 
119 
124 
127 
129 
132 
135 
137 

137 

-139 
140 
140 
139 
139 
138 
137 
135 
132 

130 

-127 

123 

120 

115 
-11) 



- 394 
265 
134 

3 

- 129 
260 
391 
521 
650 
777 

902 
1024 
1143 
1259 
1372 
1481 
1585 
1684 
1779 
1868 

1952 
2030 
2102 
2167 
2226 
2278 
2323 
3361 
2392 
2415 

+ 2431 
2439 
2439 
2432 
2417 
2395 
2365 
2327 
2281 
2228 

+ 2168 
2101 
2026 
1945 
1857 

+ 1762 



DifF. 



+129 
131 
131 
132 
131 
131 
130 
129 
127 

125 

+122 
119 
116 
113 
109 
104 



84 

+ 78 
72 
65 
59 
52 
45 
38 
31 
23 

16 





- 7 
15 
22 
30 
38 
46 
53 

60 

- 67 
75 
81 



DifF. 



+ 2 



- 3 



+ 1 



+ 10 



+ 4 



35 





TABLE lY .—Contmued. 




PERTURBATIONS OF 


rHE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 








ARGUMENT IV. 




Arg. 


f 


DifF. 


v' 


Diff. 


c 


DifF. 


Arg. 


f 


DifF.. 


v' 


Diff. 


i' 


Diff. 




o 

180 


- 2040 




+ 1762 




+ 10 




225 


+ 88 




- 3483 






- 6 




181 


2146 


-106 


1661 


-101 






226 


260 


+172 
173 


3491 


- 8 
+ 1 








182 


2247 


101 


1555 


106 






227 


433 


3490 








183 


2342 


95 


1442 


113 




+ 4 


228 


606 


173. 
173 
172 
171 
170 
167 
165 


3480 


10 

18 
27 


+ 3 






184 


2431 


89 


1324 


118 






229 


779 


3462 








185 


2514 


83 


1202 


122 






230 


951 


3435 




7 




186 


, 2591 


77 


1074 


126 






231 


1122 


3399 


36 








187 


2661 


70 


942 


132 


14 




232 


1292 


3355 


44 








188 


2724 


63 


806 


136 






233 


1459 


3302 


53 








189 


2781 


57 


C65 


141 






234 


1624 


3240 


62 


- 4 










48 




143 




3 






162 




70 








190 


- 2829 




+ 522 








235 


+ 1786 




- 3170 










191 


2870 


- 41 


376 


-146 






236 


1944 


+158 
155 


3092 


+ 78 




7 




192 


2904 


34 


227 


149 


17 




237 


2099 


3006 


86 








193 


2930 


26 


+ 76 


151 






238 


2250 


151 


2912 


94 








194 


2947 


17 


- 77 


153 






239 


2395 


145 


2811 


101 








195 


2957 


10 


231 


154 




+ 2 


240 


2536 


141 


2702 


109 


11 






196 


2959 


- 2 


387 


156 






241 


2672 


136 


2586 


116 








197 


2952 


+ 7 


542 


155 






242 


2801 


129 


2463 


123 








198 


2938 


14 


698 


156 


19 




243 


2925 


124 


2333 


130 




6 




199 


2915 


23 
33 


853 


155 
155 






244 


3042 


117 
111 


2197 


136 
142 




1 




200 


- 2883 




- 1008 









245 


+ 3153 




- 2055 










201 


2844 


+ 39 


1161 


-153 






246 


3256 


+103 


1907 


+148 


17 






202 
203 
204 


2796 
2741 

2678 


48 
55 
63 


1313 
1463 
1610 


152 
150 
147 


19 




247 
248 
249 


3352 
3440 
3521 


96 
88 
81 
72 
64 
66 
47 
38 


1754 
1596 
1434 


153 
158 
162 
167 
170 
174 
176 
179 




6 




205 
206 


2606 
2527 


72 

79 


1754 
1895 


144 
141 






250 
251 


3593 
3657 


1267 
1097 








307 


2441 


86 


2033 


138 




- 2 


252 


3713 


923 


23 






208 
209 


2347 
2247 


94 
100 


2166 
2294 


133 

128 






253 
2.54 


3760 
3798 


747 
568 












108 




124 




. 






29 




181 




4 




210 
211 


- 2139 
2025 


+114 


- 2418 
2537 


-119 


17 




255 
256 


+ 3827 
3847 


+ 20 

11 


- 387 
. 204 


+183 
184 








212 
213 


1904 

1778 


121 

136 


2650 
2757 


113 

107 




3 


257 

258 


3858 
3860 


+ 2 
_ 7 


- 20 
+ 164 


184 
184 


27 


• 




214 


1645 


133 


2858 


101 






259 


3853 


j7 


348 


184 








215 


1508 


137 


2952 


94 






260 


3836 


26 


532 


184 








216 


1365 


143 


3040 


88 


14 




261 


3810 


35 


716 


182 




2 




217 


1217 


148 


3120 


80 






262 


3775 


44 


898 


180 








218 


1065 


162 


3193 


73 






263 


3731 


53 


1078 


179 








219 


909 


156 
159 


3259 


66 

58 




5 


264 


3678 


62 


1257 


176 


29 






220 
221 


- 750 

587 


+163 


- 3317 
3367 


- 50 






265 
266 


+ 3616 
3545 


- 71 
79 


+ 1433 
1606 


+173 
169 




- 1 




222 


421 


166 


3408 


41 


+ 9 




267 


3466 


88 

96 

-104 


1775 


166 

161 

+157 








223 


253 


168 


3442 


34 






268 


3378 


1941 








224 
225 


- 84 
+ 88 


169 
+172 


3467 
- 3483 


25 
- 16 




- 6 


269 
270 


3282 
+ 3178 


2102 
+ 2259 


- 30 







36 



TABLE IV. Continued. 




PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 






ARGUMENT IV. 




Arg. 


?' 


DifF. 


n' 


DifF. 


f' 


Diff. . 


Arg. 


f 


DifF. 


n' 


Diff. 


/ 


Diff. 




970 


+ 3178 




+ 3259 




- 30 




315 


- 3656 




+ 1254 






+ 5- 




271 


3066 


-112 


2411 


+152 






316 


3709 


- 53 


1074 


-180 








272 


2947 


119 


2557 


146 






317 


3752 


43 


899 


182 








273 


2821 


126 


2697 


140 




+ 2 


318 


3787 


35 


708 


184 


+ 10 






274 


2687 


134 


9831 


134 






319 


3819 


25 


599 


186 








275 


2547 


140 


9958 


■ 127 






320 


3837 


15 


336 


186 








276 


2401 


146 


3078 


120 


28 




331 


3833 


- 6 


+ 149 


187 




3 




277 


2249 


152 


3191 


113 






333 


3830 


+ 3 


- 37 


186 








278 


2091 


158 


3997 


106 






323 


3817 


13 


223 


186 








279 


1929 


162 
168 


3395 


98 
90 




4 


324 


37^5 


22 
31 


408 


185 

184 


13 






280 


+ 1761 




+ 3485 








325 


- 3764 




- 592 










281 


1589 


-172 
176 


3566 


+ 81 






326 


3793 


+ 41 


773 


-181 




+ 1 




282 


1413 


3640 


74 


24 




327 


3673 


50 


959 


179 








283 


1234 


179 


3704 


64 






328 


3615 


58 


1198 


176 








284 


1052 


182 


3760 


56 






329 


3547 


68 


1301 


173 








285 


867 


185 
187 


3806 


46 




5 


330 


3471 


76 


1470 


169 


14 






286 


680 


3844 


38 






331 


3387 


84 


1635 


165 








287 


491 


189 


3873 


28 






332 


3394 


91 


1795 


160 








988 


301 


190 


3891 


19 


19 




333 


3194 


100 


1950 


155 




— 1 




989 


+ 110 


191 
191 


3901 


10 
+ 1 






334 


308G 


108 
115 


9100 


150 
144 








290 


- 81 




+ 3903 






6 


335 


- 3971 




- 9344 










391 


272 


—191 
190 
189 
187 
185 
183 
180 ■ 
176 
172 


3893 


- 9 






336 


3849 


+122 


3382 


-138 


13 






999 


462 


3874 


19 






337 


3719 


131 


2514 


139 








293 


651 


3847 


97 






338 


3584 


135 


9648 


124 








294 • 
295 


838 
1023 


3810 
3764 


37 
46 

65 
64 
79 
81 


13 




339 
340 


2443 
2296 


141 
147 


2756 
9866 


118 
110 




9 




296 
297 

298 


1206 
1386 
1562 


3709 
3645 
3573 




6 


341 
342 
343 


2143 
1986 
1825 


153 

■ 157 

161 


9969 
3064 
3151 


103 
95 

87 


11 






299 


1734 


3492 






344 


1659 


166 


3328 


77 












168 




90 










169 




70 








300 
301 
302 
303 
304 
305 
306 
307 
308 
309 


- 1902 
9066 
2224 
2376 
2593 
9664 
2798 
2925 
3044 
3156 


-164 
158 
162 
147 
141 
134 
127 
119 
112 


+ 3409 
3304 
3199 
3085 
9965 
9837 
9703 
2562 
9416 
9264 


- 98 
105 
114 
120 
198 
134 
141 
146 
159 


7 
- 1 


6 
6 


345 
346 
347 
348 
349 
350 
351 
352 
353 
354 


- 1490 
1318 
1144 

967 
788 
608 
427 
946 

- 66 
+ 115 


+179 
174 
177 
179 
180 
181 
181 
180 
181 


- 3298 
3360 
3412 
3455 
3490 
3515 
3539 
3539 
3537 
3597 


- 62 

.^9 
43 ■ 
35 
25 
17 

- 7 
+ 2 

10 


8 
+ 4 


3 

4 








105 




158 










179 




20 








' 310 


- 3261 


- 96 

88 

79 

71 

-61 


+ '2106 


-162 
167 

171 

174 

-178 






355 


+ 994 




- 3507 










311 


3357 


1944 






356 


471 


+177 


3478 


+ 29 




— 5 




312 
313 


3445 
3524 


1777 
1606 


■ + 5 ; 




357 
358 


647 

820 


176 
173 


3440 
3394 


38 
46 








314 3595 


1439 






359 


990 


170 


3339 


55 








315 - 3656 


+ 1954 




+ 5 


360 


+ 1157 


+167 


- 3275 


+ 64 


- 1 







37 





TABLE lY .—Continued. 






PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 






ARGUMENT V. 






Arg. 


f 


DifF. 


v' 


Diff. i 


f . 


DifF. 


Ar..| 


f 


DifF. 


V 


DifF. 


f 


Difl. 




O 




+ 647 


— 32 


- 1565 


— 10 


+ 42 


' 


O 

45 


- 754 


- 25 


- 1519 


+ 14 




- 2 




1 


615 




1575 








46 ' 


779 




1505 










2 


582 


33 


1584 


9 1 






47 


803 


24 


1492 


13 








3 


549 


33 


1592 


8 




+ 2 


48 1 


827 


24 i 


1477 


15 


+ 45 






4 


516 


33 


1601 


9 1 






49 ; 


850 


23 


1463 


15 








5 


483 


33 


1608 


7 






50 


874 


24 ' 
22 


1447 


15 
J6 








6 


449 


34 


1616 


8 1 


44 




51 


896 


1431 




3 




7 


416 


33 


1623 


7 \ 






52 


919 


23 


1414 


17 








8 


382 


34 


1639 


6 






53 


941 


22 


1397 


17 








9 


349 


33 
34 


1635 


6 
6 




2 


54 


963 


21 
21 


1380 


17 

18 


42 






10 
11 
12 
13 
14 
15 
16 
17 
18 
19 


+ 315 
281 
248 
214 
181 
147 
114 
81 
47 

+ 14 


- 34 
33 
34 
33 
34 
33 
33 
34 
33 

33 


- 1641 
1646 
1650 
1655 
1658 
1662 
1664 
1667 
1669 
1670 


- 5 
4 
5 

3 : 

4 

2 

3 

2 

1 

- 1 


46 
47 


1 


55 
56 
57 
58 
59 
60 
61 
62 
63 
64 


- 983 
1004 
1034 
1044 
1063 
1082 
1101 
1119 
1137 
1154 


- 21 
20 
20 
19 
19 
19 
18 
18 
17 

17 


- 1362 
1343 
1324 
1304 
1384 
1263 
1242 
1231 
1199 
1176 


+ 19 
19 
20 
20 
21 
21 
21 
22 
23 

23 


39 


3 

5 




20 
21 
22 
23 


- 19 

51 

84 

116 


-32 
33 
32 


- 1671 
1671 
1671 
1670 





+ 1 




1 


65 
66 

67 
68 


+ 1171 
1188 
1204 
1220 


- 17 
16 
16 
15 


- 1153 
1130 
1106 
1082 


+ 23 
24 
24 
95 


34 






24 


149 


33 


1669 


1 


48 




69 


1235 


15 


1057 


25 

95 




5 




25 


181 


32 


1667 


2 






70 


1250 


15 


1032 








26 


212 


31 


1665 


2 






71 


1265 


15 


1007 


26 
26 
27 








27 


244 


32 


1662 


3 




+ 1 


72 


1280 


14 


981 


29 






28 


275 


31 


1659 


3 






73 


1294 


13 


955 








29 


306 


31 
30 


1655 


4 
5 






74 


1307 


14 


938 


37 




6 




30 
31 


- 336 
367 


-31 


- 1650 
1646 


+ 4 


49 




75 
76 


- 1321 
1334 


- 13 
]2 


- 901 

874 


+ 27 
27 








32 


397 


30 


1640 


6 






77 


1346 


13 


847 


28 








33 


426 


29 


1634 


6 

7 




- 1 


78 


1359 


13 


819 


38 


23 






34 


456 


30 


1627 






79 


1371 


11 


791 


28 








35 


■485 


29 


1620 


7 






80 


1382 


11 


763 


28 








36 


513 


28 


1613 


7 


48 




81 


1393 


11 


735 


39 




7 




37 


542 


27 


1605 


8 






82 


1404 


11 


706 


29 








38 


569 


27 


1596 


9 






83 


1415 


10 


677 


29 








39 


597 


28 
27 


1586 


10 
10 




1 


84 


1425 


10 


648 


29 


16 






40 
41 


- 624 
651 


- 27 


- 1576 
1566 


+ 10 






85 
86 


- 1435 
1445 


- 10 
g 


- 619 
590 


+ 29 
30 




- 6 




42 


677 


26 


1555 


11 


+ 47 




87 


1454 


9 


560 


29 








43 


-703 


26 


1543 


12 
+ 12 






88 


1463 


9 


531 


30 








44 
45 


729 
- 754 


26 
-25 


1531 
- 1519 




-2 


89 
90 


1472 
- 1481 


- 9 


501 
- 471 


+ 30 


+ 10 





































38 



TABLE IV- Continued. 






PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH 


DECIMAL. 




ARGUMENT V. 






Arg. 


f' 


DifF. 


v' 


Diff. 


i' 


Diff. 


Arg. 


f 


Diff. 


v' 


Diff. 


f 


Diff. 




o 

90 
91 


- 1481 
1489 


- 8 


- 471 
441 


+ 30 


+ 10 




o 

135 
136 


- 1490 
1480 


+ 10 


+ 738 
758 


+ 20 




- S 




93 


1497 


8 


411 


30 






137 


1470 


10 


779 


21 








93 


1504 


7 


382 


29 




- 6 


138 


1459 


11 


799 


20 


- 24 






94 


1511 


7 


352 


30 






J 39 


1448 


11 


818 


19 








95 


1518 


7 


322 


30 






140 


1437 


11 


838 


90 








96 


1524 


6 


393 


30 


+ 4 




141 


1425 


12 


857 


19 




- 1 




97 


1531 


7 


363 


30 






143 


1412 


13 


875 


18 








98 


1536 


5 


333 


30 






143 


1399 


13 


893 


18 








99 


1543 


6 
5 


202 


30 
30 




6 


144 


1385 


14 
14 


911 


18 
18 


35 






100 
101 


- 1547 
1552 


5 


- 172 
142 


+ 30 






145 
146 


- 1371 
1356 


+ 15 


+ 929 
947 


+ 18 








103 


1556 


4 


113 


29 


- 3 




147 


1341 


15 


964 


17 









103 


156! 


5 


83 


30 






148 


1326 


15 


980 


16 








104 


1564 


3 


54 


29 






149 


1310 


16 


997 


17 








105 


1568 


4 


- 35 


29 




6 


150 


1293 


17 


1013 


16 








106 


1571 


3 


+ 4 


29 






151 


1276 


17 


1029 


16 


25 






107 


1574 


3 


33 


29 






152 


1258 


18 


1045 


16 








108 


1577 


3 


62 


29 


8 




153 


1240 


18 


1060 


15 








109 


1579 


9 

1 


91 


29 
28 






154 


1222 


18 
19 


1076 


16 

14 









110 
111 
113 


- 1580 
1582 
1583 


- 2 
1 


+ 119 
147 
175 


+ 28 
28 




5 


155 
156 
157 


- 1203 
1183 
1163 


+ 20 
20 


+ 1090 
1105 
1130 


+ 15 
15 


25 






113 
114 
115 
116 


1583 
1584 
1583 
1583 



- 1 
+ 1 




303 
230 
257 

284 


28 
27 
27 
27 


13 




158 
159 
160 
161 


1143 
1133 
1101 
1079 


20 
21 
21' 
22 


1134 
1148 
1161 
1175 ' 


14 
14 
13 
14 









117 
118 


1582 
1581 


1 

1 


311 
337 


27 
26 




4 


162 
163 


1057 
1035 


22 
22 


]]88 
1201 


13 
13 


25 






119 


1579 


9 
2 


363 


26 
26 






164 


1012 


23 

94 


1313 


12 
13 









120 
121 


- 1577 
1574 


+ 3 


+ 389 
414 


+ 25 


17 




165 
166 


- 988 
965 


+ 23 


+ 1226 
1338 


+ 19 








123 
123 
124 


1571 
1567 
1563 


3 

4 
4 


440 
465 
489 


26 
25 
24 




3 


167 
108 
169 


941 
916 

892 


24 
25 
94 


1351 
1262 
1374 


13 
11 
12 


25 






125 
126 
127 
128 


1559 
1554 
1549 
1543 


4 
5 
5 
6 


513 
537 
561 

584 


24 
24 
24 
23 


30 




170 
171 
172 
173 


867 
841 
815 
790 


25 
26 
26 
25 


1286 
1297 
1308 
1319 


12 
11 
U 

11 









139 


1537 


6 

7 


607 


23 
23 




2 


174 


763 


27 
26 


1339 


10 

u 


25 






130 ^ 
131 


- 1530 
1523 


+ 7 
8 


+ 630 
652 


+ 22 






175 
176 


- 737 

710 


+ 27 


+ 1340 
1350 


+ 10 









133 


1515 


674 


22 


- 22 




177 


683 


27 


1360 


10 








133 


1507 


8 


696 


22 






178 


656 


27 


1370 


10 








134 
135 


1499 
- 1490 


8 
+ 9 


717 
+ 738 


21" 
+ 21 




- 2 


179 629 

180 - 601 


27 
+ 28 


1380 
+ 1389 


10 
+ 9 


- 25 







39 



TABLE IV. Continued. 




PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH 


DECIMAL. 




ARGUMENT V. 




Arg. 


? 


Diff. 


n' 


DifF. 


f 


Diff. 


Arg. 


f 


Diff. 


n' 


Diff. 


c 


Diff. 


180 


- 601 




+ 1389 




- 25 




o 

225 


+ 621 




+ 1509 






- 2 


181 


573 


+ 28 


1399 


+ 10 






226 


644 


+ 23 


1501 


- 8 






183 


545 


28 
28 
28 
28 
29 
28 


1408 


9 






227 


667 


23 


1494 


7 






183 


517 


1417 


9 




- 1 


228 


690 


23 


1486 


8 


- 39 




184 


489 


1425 


8 
9 
8 






229 


712 


22 

■ 22 

22 


1477 


9 
10 
10 






185 


461 


1434 






230 


734 


1467 






186 


432 


1442 


26 




231 


756 


1457 




- 1 


187 


404 


1450 


8 






232 


778 


22 


1447 


10 






188 


375 


29 

28 


1458 


8 






233 


799 


91 
91 


1436 


11 






189 


347 


1465 


7 




1 


234 


820 


1424 


12 


40 








29 




7 










21 




19 






190 


- 318 




+ 1472 








235 


+ 841 




+ 1412 








191 


289 


+ 29 
29 


1479 


+ 7 
7 






236 


861 


+ 20 
21 


1399 


- 13 
13 







192 


260 




1486 




27 




237 


883 


90 " 


1386 


14 






193 


232 


28 


1493 


7 






238 


902 


1373 






194 


203 


29 


1499 


6 






239 


922 


20 
19 
20 


1357 


15 
15 
16 






195 


174 


29 

28 


1505 


6 
5 




2 


240 


941 


1342 


40 




196 


146 


1510 






241 


961 


1336 






197 


117 


29 


1516 


6 






243 


980 


19 


1310 


16 






198 


89 


28 


1521 


5 


29 




243 


999 


19 
19 


1393 


17 






199 


60 


29 


1525 


4 






244 


1018 


1375 


18 




+ 1 






28 




5 










18 




18 






200 


V 32 




+ 1530 






2 


245 


+ 1036 




+ 1257 








201 


4 


+ 28 


1534 


+ 4 






346 


1054 


+ 18 


1238 


- 19 


39 




202 
203 


+ 25 
53 


29 
28 


1537 
1541 


3 

4 






247 

348 


1073 
1090 


IB 
18 
18 
17 
18 
17 
16 
17 


1219 
1200 


19 
19 
91 
21 
21 
22 
92 
29 






204 
205 
206 


80 
108 
136 


97 
28 
28 


1544 
1547 
1549 


3 
3 
2 


31 




349 
250 
251 


1108 
1125 
1143 


1179 
1158 
1137 




1 


207 

208 


163 
191 


27 
28 


•1551 
1552 


2 
1 




9 


252 
353 


1160 
J 176 


1115 
1093 


38 




209 


218 


27 


1553 


1 






354 


1193 


1071 










26 




+ 1 










16 




24 






210 
211 
212 
213 
214 
215 
216 
217 
218 
219 


+ 244 
271 
298 
324 
350 
376 
401 
427 
452 
477 


+ 97 
97 
26 
26 
26 
25 
96 
95 
25 

24 


+ 1544 
1554 
1554 
1554 
1553 
1551 
1549 
1547 
1544 
1540 






- 1 

2 
2 
9 
3 

4 

4 


33 
35 


2 
2 


255 
256 
257 
258 
259 
260 
261 
262 
263 
264 


+ 1209 
1226 
1341 
1357 
1273 
1288 
1303 
1318 
1333 
1347 


+ 17 
15 
16 
16 
15 
15 
15 
15 
14 

14 


+ 1047 
1023 
998 
974 
948 
923 
897 
870 
843 
816 


- 24 
95 
94 
26 
25 
26 
97 
97 
27 

98 


35 
31 


3 

4 


■ 220 
221 


+ 501 
526 


+ 25 


+ 1536 
1532 


- 4 






365 
266 


+ 1361 
1375 


+ 14 
14 


+ 788 
760 


- 28 
28 




+ 4 


222 


550 


24 


1527 


5 


- 37 




267 


1389 


14 


732 


29 






223 


574 


24 


1521 


6 






268 


1403 


13 


703 


29 






224 
225 


598 '^ 1515 
+ 621 "'' ®^ + 1509 


6 
- 6 




- 2 


269 
270 


1416 
+ 1429 


+ 13 


674 
+ 645 


- 29 


-"27 





40 



TABLE lY .—Gontinued. 




PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT V. 




Arg. 


f 


Diff. 


v' 


DifF. 


? 


Diff. 


Arg. 


? 


Diff. 


n' 


Diff. 


f 


Diff 


o 

270 


+ 1429 


V 


+ 645 




- 27 




315 


+ 1628 




- 726 






+ 5 : 


271 


1442 


+ 13 


615 


- 30 






316 


1620 


- 8 


752 


- 26 






272 


1455 


13 


585 


30 






317 


1611 


9 


779 


27 






273 


1467 


12 


555 


30 




+ 5 


318 


1602 


9 


805 


26 


+ 18 




274 


1479 


19 


525 


30 ' 






319 


1592 


10 


831 


26 






275 


1491 


12 


494 


31' 






320 


1581 


11 


856 


25 






276 


1503 


12 


464 


30 


22 




321 


1570 


11 


881 


26 




4 


277 


1514 


11 


433 


31 






322 


1558 


12 


906 


25 






278 


1525 


11 


402 


31 






323 


1545 


13 


930 


24 






279 


1535 


10 
11 


370 


32 

31' 




6 


324 


1531 


14 
14 


954 


24 
34 


22 




280 


+ 1546 




+ 339 








325 


+ 1517 




- 978 








281 


1556 


+ 10 


307 


- 32 






326 


1502 


- 15 


1001 


- 23 




5 


282 


1565 


9 
10 
9 

8 


276 


31 


16 




327 


1487 


15 


1024 


23 






283 


1575 


244 


32 






328 


1471 


16 


1047 


23 






284 


1584 


212 


32 






329 


1454 


17 


1069 


22 






285 


1592 


181 


31 




5 


330 


1436 


18 


1091 


32 


27 




286 


1601 


9 

8 


149 


32 






331 


1418 


18 


1112 


21 






287 


1609 


117 


32 






332 


1399 


19 


1133 


21 






288 


1616 


7 
7 


85 


32 


11 




333 


1379 


20 


1154 


21 




3 


289 


1623 


53 


32 






334 


1359 


20 


1174 


20 










7 




32 










21 




20 






290 
291 


+ 1630 
1636 


+ 6 
6 
5 
5 
5 
4 
3 
3 
2 


+ 21 
- 10 


- 31 




6 


335 
336 


+ 1338 
1317 


- 21 


- 1194 
1214 


- 20 


30 




992 


1642 


42 


32 






337 


1295 


22 


1233 


19 






293 


1647 


73 


31 






338 


1272 


23 


1252 


19 




4 


294 


1652 


105 


32 


- 5 




339 


1249 


23 


1270 


18 






295 


1657 


137 


32 






340 


1225 


24 


1288 


18 






296 


1661 


168 


31 






341 


1201 


24 


1306 


18 






297 

298 


1664 
1667 


199 
230 


31 
31 




6 


342 
343 


1176 
1150 


25 
26 


1323 
1340 


17 

17 


34 




299 


1669 


261 


31 






344 


1124 


26 


1356 


16 










2 




31 










27 




16 






300 
301 
302 


+ 1671 
1672 
1673 


+ 1 
+ 1 


- 1 
3 
2 
3 
3 


- 292 
322 
353 


- 30 
31 
30 
30 
30 
29 
29 
29 
29 


+ 1 




345 
346 
347 


+ 1097 
1070 
1042 


- 27 

28 


+ 1372 
1388 
1403 


- 16 
15 




3 


303 
304 
305 
306 
307 
308 
309 


1673 
1673 
1672 
1670 
1668 
1665 
1662 


383 
413 
443 
472 
501 
530 
559 


7 


6 
6 


348 
349 
350 
351 
352 
353 
354 


1014 
986 
957 
927 
897 
867 
837 


28 
28 
29 
30 
30 
30- 
30 


1418 
1433 
1447 
1460 
1474 
1487 
1499 


15 ■ 

15 

14 

13 

14 

13 

12 


37 
40 


3 






4 




29 










31 




13 






310 
311 


+ 1658 
1653 


- 5 
5 


- 588 
616 


- 28 
28 
27 
28 

- 27 






355 
356 


+ 806 
775 


- 31 


- 1511 
1523 


- 12 




+ 2 


312 


1648 


g 


644 


+ 13 




357 


743 


32 


1534 


11 






313 


1642 


7 


671 






358 


711 


32 


1545 


11 






314 


1635 


7 


699 






359 


679 


33 


1555 


10 






315 


+ 1628 




- 726 




+ 5 


360 


+ 647 


- 32 


- 1565 


- 10 


+ 42 

































41 



TABLE IV. Continued. 




PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT VI. 




Arg. 


f 


Diff. 


V 


Diff. 


f 


Diff. 


Arg. 


f 


Diff 


n' 


Diff. 


(' 


Diff. 


O 




- 308 




+ 364 




+ 9 




180 


+ 248 




- 511 




- 9 




5 


331 


-23 


334 


- 30 






185 


298 


+ 50 


489 


+ 22 






10 


352 


SI 


305 


29 


8 




190 


346 


48 


463 


26 


8 




15 


370 


18 


275 


30 






195 


: 392 


46 


431 


31 






20 


386 


16 


245 


30 


6 




200 


435 


. 43 


395 


36 


6 




25 


400 


14 


214 


31 






205 


474 


39 


354 


41 






30 


412 


12 


184 


30 


5 




210 


509 


35 


308 


46 


5 




35 


422 


'10 


153 


31 






215 


i 540 


31 


259 


49 






40 


431 


9 


122 


31 


3 




■220 


' 565 


25 


206 


53 


3 




45 


438 


7 
5 


91 


31 
31 






225 


585 


20 
14 


151 


56 
58 






50 


- 443 




+ 60 




+ 1 




230 


+ 599 




- 93 




- 1 




55 


447 


- 4 


+ 28 


- 32 






235 


606 


+ 7 


- 33 


+ 60 






60 


449 


2 


' - 5 


33 


1 - 1 




240 


607 


+ 1 ■ 


+ 26 


59 


+ 1 




65 


450 


- 1 


38 


33 




) 


245 


601 


- 6 


86 


60 






70 


449 


+ 1 


71 


33 


3 




250 


589 


12 
19 


145 


59 


3 




75 


445 


4 


105 


34 






255 


570 


202 


57 






80 


439 


6 


139 


34 


5 




260 


, 546 


24 


257 


55 


5 




85 


431 


8 


174 


35 






265 


515 


31 


308 


51 






90 


420 


11 


208 


34 ■ 


6 




270 


479 


36 


355 


47 


6 




95 


406 


14 
17 


243 


35 
35 






275 


439 


40 
44 


398 


43 

38 






100 


- 389 




- 278 




- 8 




280 


+ 395 




+ 436 




+ 8 




105 


369 


+ 20 


311 


- 33 






285 


347 


- 48 


468 


+ 32 






110 


346 


23 


344 


33 


9 




290 


297 


50 


495 


27 
20 


9 




115 


320 


26 


376 


32 






295 


246 


51 


515 






120 


291 


29 


406 


30 


10 




300 


193 


53 
53 


530 


15 
9 


10 




125 


258 


33 


434 


28 






305 


140 


539 






130 


222 


36 


459 


25 


11 




310 


88 


52 


543 


+ 4 


11 




135 


184 


38 


482 


23 






315 


+ 36 


52 


541 


— 2 






140 


142 


42 


502 


20 


11 




320 


- 13 


49 


535 


6 


11 




145 


98 


44 
46 


518 


16 
13 






325 


60 


47 
45 


524 


11 
15 






150 
155 
160 
165 


- 52 

- 4 
+ 45 

95 


+ 48 
49 
50 


- 531 
539 
543 
542 


- 8 

- 4 
+ 1 


-11 
11 




330 
335 
340 
345 


- 105 
141 
185 
220 


- 42 
38 
35 
33 
29 

- 26 


+ 509 
490 
469 
445 


- 19 
21 
24 
26 
27 


+ 11 
11 




170 


147 


52 


537 


5 


10 




350 


253 


419 


10 




175 

180 


198 
+ 248 


51 
+ 50 


526 
- 511 


11 
+ 15 


- 9 


355 
360 


282 
- 308 


292 
+ 364 


-28 


+ 9 







42 



TABLE lY .—Gontinued. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 

ARGUMENT VII. 



Arg. 




5 
10 
15 
20 
25 
30 
35 
40 
45 

50 
55 
60 
65 
70 
75 
80 
85 
90 
95 

100 
105 
110 
115 
120 
125 
130 
135 
140 
145 

150 
155 
160 
165 
170 
175 
180 



Biff. 



- 196 
155 
112 

69 

- 25 
+ 20 

64 
107 
150 
192 

+ 232 
270 
307 
341 
372 
401 
427 
449 
468 
483 

+ 494 
502 
506 
506 
502 
495 
483 
468 
449 
427 

+ 402 
374 
342 
308 
272 
234 

+ 194 



+ 41 

43 
43 
44 
45 
44 
43 
43 
42 

40 

+ 38 
37 
34 
31 
29 
26 
22 
19 
15 

11 

+ 8 
+ 4 

- 4 
7 
12 
15 
19 



25 

- 28 
32 
34 
36 
38 

- 40 



- 464 
480 
491 
499 
504 
504 
500 
493 
482 
467 

- 448 
426 
401 
373 
342 
309 
273 
234 
194 
153 

- 110 

67 

- 23 
+ 21 

65 
108 
150 
192 
232 
270 

+ 306 
340 
371 
399 
424 
446 

+ 464 



Diff. 



16 

11 

8 

■ 5 


■ 4 
7 

11 
15 



22 
25 
28 
31 
33 
36 
39 
40 
41 



■ 43 
44 
44 
44 
43 
42 
42 
40 
38 

36 

• 34 
31 



23 
■ 18 



f 



+ 3 
3 
3 
3 
2 

+ 2 

2 

2 

1 

+ 1 




- 1 
1 
1 

- 2 
2 
2 

- 3 



Diff. 



Arg. 



180 
185 
190 
195 
200 
205 
210 
215 
220 
225 

230 
235 
240 
245 
250 
255 
260 
265 
270 
275 

280 
285 
290 
295 
300 
305 
310 
315 
320 
325 

330 
335 
340 
345 
350 
355 
300 



f 



Uiff. 



194 
153 

no 

67 

23 

21 

65 

108 

150 

192 

232 
270 
306 
340 
371 
399 
425 
'447 
466 
481 

492 
500 
505 
505 
501 
494 
483 
468 
450 
428 

■ 403 
375 
344 
310 
274 
236 

■ 196 



41 

43 

43 

44, 

44 

44 

43 

42 



■ 38 
36 
34 
31 



22 
19 
15 

11 

- 8 

- 5 


+ 4 

7 

11 

15 

18 



25 

+ 28 
31 
34 
36 
38 

+ 40 



+ 464 
479 
491 
498 
502 
502 
499 
491 
480 
465 

+ 447 
425 
400 
372 
341 
308 
272 
234 
194 
153 

+ 111 

68 

+ 24 

- 19 
63 

106 
149 
190 
230 
268 

- .304 
338 
369 
398 
423 
446 

- 464 



Diff. 



+ 15 

12 

7 

+ 4 



- 3 

8 

11 

15 



25 
28 
31 
33 
36 
38 
40 
41 



- 43 
44 
43 
44 
43 
43 
41 
40 



36 

- 34 
31 
29 
25 
23 

- 18 



- 3 
3 
3 
3 
2 

- 2 
2 
2 
1 

- 1 



+ 1 
1 
1 

+ .2 
2 
2 

+ 3 



Diff. 



43 



TABLE IV. Continued. 




PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT VIII. 




Arg. 


f 


Diff. 


v' 


Diff. 


c 


Diff. 


Arg. 


? 


Diff. 


n' 


Diff. 


f 


Diff. 


o 




+ 24 


T 


+ 122 




+ 8 




180 


- 17 




- 143 




- 8 




5 


30 


+ 6^ 

1 


120 


- 2 






185 


27 


- 10 


143 









10 


37 


119 


1 


8 




190 


37 


10 


142 


+ 1 


8 




15 


44 


7: 


119 









195 


48 


11 


141 


1 






20 


52 


8 


118 


1 


7 




200 ■ 


60 


12 


139 


2 


7 




25 


61 


9 


117 


1 






205 


73 


13 


136 


3 






30 


70 


9 


115 


2 


6 




210 


86 


13 


132 


4 


6 




35 


81 


11 

"1 


112 


3 






215 


99 


13 


126 


6 






40 


92 


108 


4 


6 




220 


112 


13 


119 


7 


6 




45 


104 


19 
11 


- 103 


5 
7 






225 


125 


13 
13 


110 


9 
11 






50 


+ 115 




+ 96 




+ 5 




230 


- 138 




- 99 




- 5 




55 


127 


+ 12 


86 


- 10 






235 


149 


- 11 


86 


+ 13 
15 
17 






60 


138 


11 


75 


11 


3 




240 


160 


11 


71 


3 




65 


147 


9 


63 


12 






245 


168 


8 


54 






70 


155 


8^ 


49 


14 


2 




250 


175 


7 


37 


17 
19 


2 




75 


162 


7 


33 


16 






255 


179 


4 


- 18 






80 


166 


4 


+ 16 


17 


+ 1 




260 


180 


- ] 


+ 1 


19 
20 


- 1 




85 


168 


+ 2 


1 


17 






265 


178 


+ 2 


21 






90 


168 





19 


18 


1 




270 


175 


3 


40 


19 


+ 1 




95 


165 


- 3 
5 


36 


17 

17 






275 


168 


7 
8 


59 


19 

17 






100 


+ 160 




- 53 




- 2 




280 


- 160 




+ 76 




+ 2 




105 


153 


- 7 


69 


- 16 






285 


149 


+ 11 


91 


+ 15 

14 

11 

9 






110 


144 


9 


84 


15 


3 




290 


136 


13 ■ 


105 


3 




115 


134 


]0 


97 


13 






295 


122 


14 


116 






120 


123 


11 


108 


11 


5 




300 


107 


15 


125 


5 




125 
130 
135 
140 
145 


110 
97 

84 
71 
59 


13 
13 
13 
13 
12 

13 


117 
125 
132 
136 
139 


9 
8 
7 
4 
3 

3 


6 
6 




305 
310 
315 
320 
325 


92 
77 
63 
49 
36 


15 
15 
14 
14 
13 

12 


131 
136 
138 
139 
138 


6 

5 

2 

+ 1 

- 1 

1 


6 
6 




150 
155 
160 


+ 47 
35 
24 


- 12 
11 


- 142 
143 
143 


- 1 



7 
8 




330 
335 
340 


- 24 
14 

- 5 


+ 10 
9 
8 
8 
6 

+ 7 


+ 137 
134 
131 


- 3 
3 
3 
2 
2 

- 2 


+ 7 
8 




165 


14 


10 


144 


~ ^ 






345 


+ 3 


128 






170 


+ 3 


11 


144 





8 




350 


11 


126 


8 




175 
180 


- 7 

- 17 


10 
- 10 


143 
- 143 


+ 1 




- 8 




355 
360 


17 
+ 24 


124 
+ 122 


+ 8 







44 





TABLE lY .—Continued. 






PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 






ARGUMENT IX. 






Arg. 


f 


Diff. 


v' 


Difi 


C 


Diff. 


Arg. 


f 


Diff. 


v' 


Diff. 


f 


Diff. 






o 




+ 183 




+ IS 




+ 1 






180 


- 157 




+ 18 




+ 1 








5 


180 


+ 3 


34 


+ 16 






185 


158 


- 1 


+ 7 


- 11 










10 


176 


4 


50 


16 


3 




190 


158 





- 5 


12 











15 


170 


6 


66 


16 






195 


157 


+ 1 


16 


11 










20 


163 


7 


81 


15 


5 




200 


155 


3 


28 


12 


- 1 








25 


154 


9 


95 


14 






205 


152 


3 


39 


U 










30 


144 


10 


107 


12 


7 




210 


148 


4 


51 


12 


2 








35 


133 


11 


119 


19 






215 


143 


5 


62 


11 










40 


121 


13 


129 


10 


8 




220 


137 


6 


73 


11 


3 








45 


108 


13 
13 


138 


9 
8 






225 


130 


7 

8 


84 


11 
11 










50 


+ 95 




+ 146 




+ 9 




230 


- 122 




- 95 




- 4 








55 


81 


— 14 


153 


+ 7 






235 


113 


+ 9 


106 


- 11 










60 


66 


15 
14 


158 


5 


10 




240 


103 


10 


116 


10 


6 


, 






65 


53 


162 


4 






245 


91 


12 


125 


9 










70 


37 


15 


165 


3 


11 




250 


79 


13 


133 


8 


7 


, 






75 


22 


15 

14 


166 


+ 1 






255 


66 


13 


141 


8 










80 


+ 8 


166 





11 




260 


51 


15 


147 


6 


7 








85 


- 6 


14 


165 


- 1 






265 


.36 


15 


152 


5 










90 


20 


14 


163 


2 


10 




270 


20 


16 


156 


4 


8 








95 


33 


13 
13 


160 


3 

4 






275 


- 4 


16 
16 


158 


3 

- 1 










100 


- 46 




+ 156 




+ 10 




280 


+ 12 




- 159 




- 8 








105 


58 


- 12 


152 


- 4 






285 


29 


+ 17 


159 













110 


70 


13 
11 
10 
10 
9 


146 


6 


9 




290 


46 


17 


156 


+ 3 


8 








115 
120 


81 
91 


140 
133 


6 

7 


8 




295 
300 


63 

80 


17 
17 


152 
147 


4 
5 


8 








125 


101 


125 


8 






305 


96 


16 


139 


8 










130 


110 


117 


8 


7 




310 


111 


15 


130 


9 


7 








135 


118 


8 


109 


8 






315 


125 


14 


120 


10 










140 


125 


7 


100 


9 


5 




320 


137 


12 


108 


12 


C 








145 


132 


7 
6 


90 


10 
9 






325 


149 


12 
10 


95 


13 
14 










150 


- 138 




+ 81 




+ 4 




330 


+ 159 




- 81 




- 5 








155 


143 


— 5 


71 


— 10 






335 


167 


+ 8 


65 


+ 16 










160 


147 


4 


61 


10 


3 




340 


174 


7 


49 


16 


3 








165 
170 


151 
154 


4 
3 


50 
40 


11 
10 


2 




345 
350 


179 
182 


5 
3 


33 
- 16 


16 
17 


- 1 








175 


156 


2 


29 


11 






355 


183 


+ 1 


+ 1 


17 










180 


- 157 


-' ^- 18 


-11 


+ 1 


360 


+ 183 





+ 18 


+ 17 


+ 1 






, 







45 









TABLE IN .—Continued. 












PERTURBATIONS OF THE 


CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 




ARGUMENT X. 


ARGUMENT XI. 




Arg. 


f 


Diff. 


n< 


DifF. 


Arg. 


f 


Diff. 


,/ 


Diff. 


Arg. 


? 


Diff. 


V 


Diff. 


Arg. 


? 


Diff 


n' 


Diff. 




o 




-38 


- 5 


+60 


- 3 


180 


+37 


+ 5 


-63 


+ 4 


o 




--27 


+14 


-94 


+ 1 


180 


+27 


+ 3 


+ 3 


- 2 




5 


43 


4 


57 


4 


I8b 


42 


5 


59 


4 


5 


-13 


14 


96 


— 1 


185 


30 


2 





3 




10 


47 


5 


53 


4 


190 


47 


5 


55 


4 


10 


+ I 


13 


94 


4 


190 


32 


a 


- 3 


3 




15 


52 


4 
3 
3 


49 


5 
5 
5 


195 


52 


4 
4 
4 


51 


5 
5 
5 
6 
6 
6 


15 


14 


12 
10 

8 


90 


6 

7 
9 


195 


34 


2 
2 
2 


6 


4 
5 
5 




20 


56 


44 


200 


56 


46 


20 


26 


84 


200 


36 


10 




25 


59 


39 


205 


60 


41 


25 


36 


77 


205 


38 


15 




30 


62 


34 


210 


64 


36 


30 


44 


68 


210 


40 


20 




35 


65 


3 
2 


28 


5 
6 


215 


67 


2 
2 


30 


35 


50 


4 

+ 1 


58 


10 

11 


215 


41 



,0 


25 


6 
6 




40 


67 


23 


220 


69 


24 


40 


54 


48 


230 


41 


31 




45 


69 


17 


225 


71 


18 


45 


55 


37 


235 


41 


37 








1 




6 






1 




7 











10 






- 1 




7 




50 


-70 


— 1 


+11 


— 6 


230 


+72 


+ 1 


-11 


+ 6 


50 


+55 


— 2 


+27 


— 9 


230 


+40 


— 3 


-44 


— 7 




55 


71 




+ 5 




235 


73 




- 5 




55 


53 




18 




235 


37 




51 


8 




60 


71 




- 1 




240 


73 




+ 1 




60 


50 




10 




340 


34 




59 




65 


70 


+ 1 


7 




245 


73 




8 




65 


45 




+ 4 




245 


29 




66 






70 


69 


1 


13 


6 


350 


72 


- 1 


14 


6 


70 


40 


5 


- 2 


6 


250 


33 


7 


72 


6 




75 


68 




19 




255 


70 




20 




75 


34 




6 




255 


14 




78 


4 
3 




80 


66 




25 




260 


68 




26 




80 


28 




8 




260 


+ 5 




82 




85 


64 




30 




965 


65 




33 




«5 


22 




9 




265 


- 5 




85 




90 


61 


3 


36 


6 


270 


62 


3 


38 


6 


90 


16 


6 


in 


- 1 


370 


16 


11 


87 


- 2 




95 


58 


3 

4 


41 


5 
5 


275 


59 


3 

4 


43 


5 
5 


95 


12 


4 
4 


9 


+ 1 
2 


375 


28 


12 
13 


86 


+ 1 
2 




100 


-54 




-46 




280 


+55 




+48 




100 


+ 8 




- 7 




380 


-41 




-84 






105 


50 


+ 4 


■ 50 


- 4 


285 


50 


- 5 


53 


+ 5 


105 


5 


- 3 


5 


+ 2 


285 


53 


-12 


79 


+ 5 




110 
115 
•120 
125 
130 
135 
140 
145 


46 
41 
36 
30 
25 
19 
13 
- 6 


4 
5 
5 
6 
5 
6 
6 
7 

6 


55 
58 
62 
65 
67 
69 
71 
72 


5 
3 
4 
3 
2 
2 
2 
- 1 




290 
295 
300 
305 
310 
315 
320 
325 


45 
40 
34 
28 
22 
16 
10 
+ 4 


5 
5 
6 
6 
6 
6 
6 
6 

6 


57 
61 
64 
66 

68 
70 
71 

72 


4 
4 
3 
2 
2 
2 
1 
+ 1 




110 
115 
120 
125 
130 
135 
140 
145 


3 
1 

1 
2 
3 
5 

7 
9 


2 

- 2 



+ 1 
1 
2 
2 
2 

3 


- 2 

+ 1 
3 
5 
7 
9 
10 
10 


3 
3 
2 
2 
2 
2 
+ 1 





290 
395 
300 
305 
310 
315 
330 
335 


65 

76 

85 

92 

98 

101 

103 

100 


12 

11 

9 

7 

.6 

3 

- 1 

+ 2 

5 


72 
63 
51 
38 
24 
- 9 
+ 7 
23 


9 
12 
13 

14 
15 
16 
16 

15 




150 
155 
160 
165 
170 




+ 6 

13 

19 

25 


+ 6 
7 
6 
6 


+72 
72 
71 
70 
68 



+ 1 

1 
2 


330 
335 
340 
345 
350 


- 2 

9 
15 
21 

27 


- 7 
6 
6 
6 


+72 
71 
70 
68 
66 


- 1 
1 
2 
2 
3 

-3 


150 
155 
160 
165 
170 


+12 
14 
17 
20 
22 


+ S 
3 
3 
2 
3 

+ 2 


+10 

10 

9 

8 
6 




- 1 
1 
2 
2 

- 2 


330 
335 
340 
345 
350 


-95 
88 
79 
68 
55 


+ 7 

9 

11 

13 

14 
+14 


+38 
53 
65 
76 

85 


+14 

13 

11 

9 

6 

+ 3 




175 

180 


31 

+37 


6 
+ 6 


65 
-63 


3 
+ 2 


355 
360 


32 

-38 


-6 


63 
+60 


175 
180 


25 
+27 


4 
+ 2 


355 
360 


41 
-37 


91 
+94 



















































46 











TABLE IV.- 


-Continued 












PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 




ARGUMENT XII. 


AR(5UME]NT 


XIII. 




ARGUMENT XIV. 




Arg. 


f 


DifF. 


n> 


Diff. 


Arg. 


f 


Uiff. 


v' 


Diff. 


Arg. 


? 


DifF. 


n' 


DifF. 




O 




+ 3 




+ 12 




o 




+ 13 




+ 12 









+ 3 




+ 23 






10 


- 4 


- 7 


11 


- 1 


10 


10 


- 3 


14 


+ 2 


10 


7 


+ 4 


23 







20 


9 


5 


7 


4 


20 


8 


S 


15 


1 


20 


10 


3 


23 







30 


12 


3 


+ 1 


6 


30 


5 


3 


16 


1 


30 


14 


4 


22 


— 1 




40 


13 


- * 


- 5 


6 


40 


+ 2 


3 


17 


+ 1 


40 


17 


3 


20 


2 
3 




50 


11 


+ 2 


11 


6 


50 


- 1 


3 


17 





50 


19 


2 


17 




60 


7 


4 


15 


4 


60 


4 


3 


16 


- 1 


60 


21 


2 


14 


3 




70 


- 1 


6 


18 


- 3 


70 


7 


3 


15 


1 


70 


23 


+ 2 


10 


4 




80 


+ 5 


6 


18 





80 


9 


2 


13 


2 


80 , 


23 





6 


4 




90 


11 


6 
6 


16 


+ 2 
+ 4 


90 


11 


2 
2 


12 


1 
2 


90 


23 



- 1 


+ 2 


4 
5 




100 


+ 17 




- 12 




100 


-13 




+ 10 




100 


+ 22 




- 3 






110 


21 


+ 4 


- 7 


5 


110 


14 


- 1 


7 


- 3 


no 


90 


- 2 


7 


- 4 




120 


22 


+ 1 






7 
7 


120 


15 


1 
— 1 


5 


a 

3 


120 


18 


2 
3 


11 


4 
3 




130 


22 




+ 7 




130 


16 




+ 2 




130 


J5 




14 






140 


20 


- 2 


14 


7 


140 


16 








2 


140 


11 




17 


3 




150 


16 


4 


20 


6 


150 


16 





3 


3 


150 


7 




20 


3 




160 


10 


6 
6 


24 


4 
3 


160 


15 


+ 1 
1 


5 


2 
3 


160 


+ 3 




22 


2 
— 1 




170 


+ 4 




27 




170 


14 




8 




170 


- 1 




23 






180 


- 3 


7 


28 


+ 1 


180 


13 


1 


10 


2 


180 


5 




23 







190 


10 


7 
7 


27 


- 1 
3 


190 


11 


2 
2 


12 


2 
2 


190 


9 


4 


23 



+ 1 




200 


- 17 




+ 24 




200 


- 9 




14 




200 


- 13 




- 22 






210 


22 


- 5 


18 


- 6 


210 


6 


+ 3 


15 


- 1 


210 


16 


- 3 


SO 


+ 2 




220 


26 


4 


12 


6 


220 


4 


2 


16 


1 


220 


18 


2 


18 


2 




230 


28 


- 2 


+ 4 


8 


230 


- 1 


3 


17 


- 1 


230 


20 


2 


15 


3 




240 


28 





- 5 


9 


240 


+ 2 


3 


17 





240 


2] 


1 


12 


3 




250 


25 


+ 3 


13 


8 


250 


5 


3 


17 





250 


22 


- 1 


9 


3 




260 


19 


6 


19 


6 


260 


8 


3 


16 


+ 1 


260 


22 





5 


4 




270 


12 


7 


23 


4 


270 


11 


3 


14 


2 


270 


21 


+ 1 


- 2 


3 




280 


- 3 


9 


25 


- 2 


280 


13 


2 


12 


2 


280 


20 


1 


+ 3 


4 




290 


+ 5 


8 
7 


24 


+ 1 
4 


290 


15 


2 
2 


9 


3 
3 


290 


18 


2 

2 


6 


4 
3 




300 


+ 12 




-20 




300 


+ 17 




- 6 




300 


- 16 




+ 9 






310 


17 


+ 6 


14 


+ 6 


310 


18 


+ 1 


- 3 


+ 3 


310 


13 


+ 3 


13 


+ 4 




320 


19 


+ 2 


- 7 


7 


320 


18 








3 


320 


10 


3 


16 


3 




330 


18 


- 1 





7 


330 


18 





+ 4 


4 


330 


7 


3 


19 


3 




340 


15 


3 


+ 6 


6 


340- 


17 


- 1 


7 


3 


340 


- 4 


3 


21 


2 




350 


10 


5 


10 


4 


350 


15 


2 


10 


3 


350 





4 


22 


1 




360 


+ 3 


- 7 


+ 12 


+ 2 


360 


+ 13 


-2 


+ 12 


+ 2 


360 


+ 3 


+ 3 


+ 23 


+ 1 









47 





TABLE lY .—Gontinued. 






PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 






ARGUMENT XV. 


/■ 

ARGLTMENT XVI. 






Arg. 


k' 


Diff. 


v' 


Diff. 


f 


Diff. 


Arg. 


i' 


Difl. 


V 


Diff 


f 


Diff- 






o 




- 368 


-130 
1S5 
121 
115 
109 
101 
94 
84 
75 


-1498 


+ 37 
49 
60 
69 






o 




+ 196 




- 347 













5 
10 
15 

20 


498 
623 

744 
859 


1461 
1412 
1352 
1283 






5 

10 
15 
20 


225 
253 
279 
303 


+ 29 
28 
26 
24 


328 
307 
284 
259 


+ 19 
21 
23 
95 










25 


968 


1203 


80 






25 


324 


21 


231 


28 










30 
35 


1069 
1163 


1114 
1017 


89 
97 






30 
35 


343 
359 


19 
16 


202 
172 


29 
30 










40 


1247 


912 


105 


_ \ 




40 


373 


14 


140 


32 










45 


1322 


800 


112 






45 


384 


11 


107 


33 














65 




118 










8 




34 










50 


-1387 




- 682 









50 


+ 392 




- 73 













55 


1441 


— 54 


559 


+123 






55 


396 


+ 4 


38 


+ 35 










60 


1484 


43 


431 


128 







60 


398 


+ 2 


- 4 


34 










65 
70 


1516 
1537 


39 

ai 


300 
167 


131 
133 







65 

70 


397 
393 


- 1 

4 


+ 31 
65 


35 
34 










75 


1545 


— 8 


- 33 


134 






75 


386 


7 


99 


34 










80 


1542 


+ 3 


+ 101 


134 







80 


376 


10 


133 


34 










85 


1528 


14 


235 


134 






85 


363 


13 


165 


32 










90 


1501 


27 


367 


132 


+ 1 




90 


347 


16 


196 


31 










95 


1463 


38 
48 


496 


129 
126 






95 


328 


19 
21 


225 


99 

98 










100 


-1415 




+ 622 




+ 1 




100 


+ 307 




+ 253 













105 


1355 


+ 60 


743 


+121 






105 


284 


-S3 


279 


+ 26 










110 


1285 


70 


858 


115 






110 


259 


25 


303 


24 










115 


1205 


80 


966 


108 






115 


231 


28 


324 


21 










120 


1116 


89 


1067 


101 






120 


202 


29 


343 


19 










125 


1018 


98 
105 
112 
118 
124 


1160 


93 




' 


125 


171 


31 


359 


16 










130 


913 


1245 


85 






130 


139 


32 


373 


14 










135 


801 


1319 


74 






135 


106 


33 


384 


11 










140 


683 


1384 


65 






140 


73 


33 


392 


8 










145 


559 


1438 


54 






143 


38 


35 


396 


4 














127 




43 










35 




+ 2 










150 


- 432 




+1481 




+ 2 




150 


+ 3 




+ 398 













155 


301 


+131 
134 
134 


1513 


+ 32 






155 


- 31 


- 34 


397 


- 1 










160 


167 


1534 


21 


2 




160 


66 


35 


393 


4 










165 


- 33 


1542 


+ 8 






165 


100 


34 


385 


8 














135 




— 2 










33 




10 










170 


+ 102 




1540 




1 




170 


133 




375 












175 


236 


134 


1525 


15 






175 


165 


32 


362 


13 










180 


+ 368 


+132 


+1498 


- 27 


+ 1 




180 


- 196 


- 31 


+ 347 


- 15 











From the_Arguments > 180° subtract 180°, and reverse the sign of (^', tj', f. 





4S 



TABLE lY .—Continued. 






PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


, 


ARGUMENT XVII. 


ARGUMENT XVIII. 




Arg. 


f 


Diff. 


n' 


Diff. 


f 


Diff. 


Arg. 


i< 


Diff. 


v' 


Diff. 


f 


Diff. 









- 41 




- 166 









o 




+ 40 




- 105 










5 


55 


- 14 


162 


+ 4 






10 


21 


- 19 


110 


- 5 








10 


69 


14 


156 


6 






20 


+ 1 


20 


112 


- 3 








15 


82 


13 


150 


1 6 






30 


- 18 


19 


111 


+ 1 








SO 


95 


13 


142 


8 






40 


37 


19 


106 


5 








25 


107 


19 
11 
11 


133 


9 






50 


55 


18 
16 
14 


98 


8 
11 








30 


118 


123 


10 
10 






60 


71 


87 








35 


129 


113 






70 


85 


73 


14 








40 


138 


9 


101 


12 






80 


97 


12 


57 


16 








45 


146 


8 
7 


89 


12 
13 






90 


105 


8 
5 


40 


17 
19 








50 


- 153 




- 76 









100 


- 110 




- 21 




_ \ 






55 


159 


- 6 


62 


+ 14 






110 


112 


- 2 


- 1 


+ 90 








60 


164 


5 


48 


14 






120 


111 


+ 1 


+ 18 


19 









65 


168 


4 


33 


15 






130 


106 


5 


37 


19 








70 


170 


3 


19 


14 






140 


98 


8 


55 


18 









75 


171 


- 1 


- 4 


15 






150 


87 


11 


71 


16 








80 


170 


+ 1 


+ 11 


15 






160 


73 


14 


85 


14 









85 


169 


1 


26 


15 






170 


57 


16 


96 


U 








90 


166 


3 


40 


14 






180 


- 40 


+ 17 


+ 105 


+ 9 


+ ] 






95 


162 


4 


55 


15 


























5 




14 






ARGUMENT XIX. 






100 


- 157 




+ 69 















105 


150 


+ 7 


82 


+ 13 




























110 


142 


8 
9 
9 


95 


13 
12 

11 






Arg. 


f 


Diff. 


v' 


Diff. 


1 


Diff. 




115 
120 


133 
124 


107 
118 










































11 




10 






















125 


113 


12 


128 


10 









+ 102 




+ 62 




- 2 






130 


101 


138 






10 


90 


— 12 


79 


- 17 








135 


89 


12 
13 
14 


146 


8 
7 
6 






20 


75 


15 


93 


14 


2 






140 


76 


153 






30 


58 


17 


104 


11 








145 


62 


159 






40 


40 


18 


112 


8 


2 










14 




5 






50 


+ 20 


20 


117 


S 








150 

• 155 

160 

165 


- 48 
33 
19 

- 4 


+ 15 
14 
15 
15 


+ 164 
168 
170 
171 


+ 4 

3 

+ 1 

— 1 







60 
70 
80 
90 


- 1 

21 
41 
60 


21 
20 
20 
19 


118 
115 
109 
100 


- 1 

+ 3 

6 

9 


2 
2 






170 


+ 11 


15 


170 


1 










17 




12 








175 


26 


169 






100 


- 77 




- 88 




_ 1 






180 


+ 41 


+ 15 


+ 166 


- 3 







110 


91 


- 14 


73 


+ 15 




















120 


103 
111 


13 


55 
37 


18 











130 


8 


18 








140 


116 


5 


- 17 


SO 


+ 1 








150 


118 


- 2 


+ 4 


21 










160 


116 


+ 2 


24 


20 


1 








170 


111 


5 


44 


20 










180 


- 102 


+ 9 


+ 62 


+ 18 


+ 2 






From the Arguments >180o subtract 180°, and reverse the sign of f, n', f. 







49 





TABLE IV. Continued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARCJUMENT XX. 


ARGUMENT XXII. 


Arg. 


? 


DifF. 


r,' 


Diff. 


?' 


Diff 


Arg. 


f 


Diff 


V 


Diff. 


C 


Difi. 


o 




+ 22 




-42 














-26 




- 18 









10 


29 


+ 7 


38 


+ 4 






10 


28 


-2 


13 


+ 5 






20 


36 


7 


32 


6 






20 


30 


- 2 


8 


5 






30 


41 


5 


25 


7 






30 


30 





- 3 


5 






40 


44 


3 


18 


7 






40 


30 





+ 3 


6 






50 


47 


3 


10 


8 






50 


29 


+ 1 


8 


5 






60 


48 


+ 1 


- 2 


8 






60 


27 


2 


13 


5 






70 


48 





+ 6 


8 






70 


24 


3 


18 


5 






80 


46 


- 9 


14 


8 






80 


20 


4 


22 


4 






90 


42 


1 

4 


22 


8 
7 






90 


16 


4 
5 


26 


4 
2 






100 
110 
130 
130 


+ 38 
32 
25 
18 


- 6 

7 
7 


+ 29 
35 
40 
44 


+ 6 
5 
4 







100 
110 
120 
130 


- 11 

- 6 


+ 5 


+ 5 
6 
5 


+ 28 
30 
31 
31 


+ 2 

+ 1 









140 


10 


8 


46 


3 






140 


10 


5 


30 








150 


+ 2 


8 


47 


+ 1 


- 




150 


15 


5 


28 


2 






160 


- 7 




47 








160 


19 


4 
+ 3 


26 








170 
180 


15 
-22 


8 
- 7 


45 
+ 42 


- 3 







170 

180 


23 

+ 26 


22 

+ 18 


- 4 







ARGUMENT XXI. 


ARGUMENT XXIII. 


Arg. 


f 


Diff. 


v' 


Diff. 


f 


Diff. 


Arg. 


f 


Diff. 


v' ■ 


Diff 


f 


Diff 


O 


10 

ao 


-13 

- 4 
+ 5 


+ 9 
9 


+ 1 

- 11 

24 


- 13 
13 


+ 4 
3 




O 


10 
20 


- 6 

+ 6 

*18 


+ 12 
12 


+ 67 
68 
66 


+ 1 

- 2 
4 







30 


15 


]0 


35 








30 


29 


10 


62 


6 






40 


24 


9 


46 




+ I 




40 


39 


9 


56 


g 






50 


32 


8 


55 








50 


48 


8 


48 


9 






60 


39 


7 


63 




- 1 




60 


56 


6 


39 


10 






70 


45 


6 


68 


4 
- 1 






70 


62 


4 


29 


11 






80 


50 




72 


3 




80 


66 


.+ 2 


18 


11 






90 


53 




73 






90 


68 




+ 7 












+ 1 




+ 1 















12 






100 


+ 54 




-72 




- 5 




100 


+ 68 


- 2 


- 5 


-12 







110 


54 





69 


+ 3 






110 


66 


4 


17 


11 






120 


52 


- 3 


64 




6 




120 


62 


6 


28 


10 






130 


49 


3 


57 








130 


56 


8 


38 


9 






140 


44 


5 


48 




6 




140 


48 


g 


47 


8 






150 


38 


6 


38 








150 


39 


11 


55 


6 






160 


30 


8 


26 




5 




160 


28 


11 


61 


4 






170 
180 


22 
+ 13 


8 
- 9 


14 

- 1 


+ 13 


- 4 




170 
180 


17 
+ 6 


- 11 


65 
-67 


- 2 







From the Arguments > 180° subtract 180°, and reverse the sign of f, r,', f. 




7 








i 



















50 



TABLE lY .—Goncluded. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 



ARGUMENT XXIV. 



Arg. 





20 

40 

60 

80 

100 

120 

140 

160 

180 



Arg. 





30 

40 

60 

80 

100 

120 

140 

160 

180 



Arg. 



f 


v' 


+ 17 


- 20 


18 


24 


17 


26 


14 


25 


10 


20 


+ 4 


13 


- 2 


- 5 


8 


+ 4 


13 


13 


- 17 


+ 20 



1 

2 
3 
3 
4 
3 
2 
1 

■ 1 



ARGUMENT XXV. 



f 


v' 


+ 5 


+ 5 


11 


8 


15 


9 


17 


9 


17 


8 


15 


6 


12 


4 


7 


+ 1 


+ 1 


- 3 


- 5 


- 5 



+ 1 

1 

1 

+ 1 




- 1 
1 
1 

- 1 



ARGUMENT XXVII. 



ARGUMENT XXVI. 






- 1 


- 23 


20 


9 


21 


40 


15 


17 


60 


20 


11 


80 


23 


- 3 


100 


22 


+ 5 


120 


19 


12 


140 


14 


18 


160 


- 7 


22 


180 


+ 1 


+ 23 



Arg. 





20 

40 

60 

80 

100 

120 

140 

160 

180 



+ 1 

7 

12 

15 

17 

16 

14 

10 

+ 5 

- 1 



17 

15 

12 

7 

2 

4 

9 

14 

16 

17 



ARGUMENT XXVIII. 



Arg. 



o 



20 

40 

60 

80 

100 

120 

140 

160 

180 



f 


V 


- 4 


- 10 





11 


+ 3 


10 


7 


8 


9 


6 


11 


- 2 


11 


+ 2 


9 


5 


7 


8 


+ 4 


+ 10 



ARGUMENT XXIX. 



Arg. 








_ 


5 


20 




7 


40 




9 


60 




9 


80 




8 


100 




7 


120 




4 


140 


_ 


1 


160 
180 


+ 
+ 


2 
5 



ARGUMENT XXX. 



Arg. 





20 

40 

60 

80 

100 

120 

140 

160 

180 



- 5 

- 7 
8 
8 
7 
5 

- 3 


+ 3 
+ 5 



- 6 
4 

- 1 

+ 2 
4 
6 
8 
8 
7 

+ 6 



From the Arguments > 180° subtract 180°, and reverse the sign off, 7', f. 



51 











TABLE V. 












LOGARITHMS FOR REFERRING THE PERTURBATIONS TO THE EQUATOR. 












Mean Equinox of the beginning of the Year. 












Year. 


cos (Xi X) 


cos (?7i x) 


cos (Zi x) 


cos (xi y) 


cos (y, y) 


cos (zi y) 


cos (Xi z) 


cos (yi z) 


cos (Zi z) 






1850 


9.862239 


9.833908 


8.830053 


9.7937S4W 


9.844007 


9.549470« 


9.459233m 


9.336366 


9.969772 






1851 


9.862338 


9.833796 


8.819976 


9.793671W 


9.844102 


9.549452n 


9.459136m 


9.336499 


9.969774 






1852 5 


9.863437 


9.833683 


8.819899 


9.793557W 


9.844196 


9.549434m 


9.459020m 


9.336631 


9.969777 






1853 


9.862536 


9.833571 


8.819823 


9.793444W 


9.844290 


9.549416?i 


9.458913m 


9.336764 


9.969780 






1854 


9.862635 


9.833458 


8.819746 


9.793330W 


9.844384 


9.549398W 


9.458806m 


9.336896 


9.969783 






1855 


9.862734 


9.833346 


8.819669 


9.793217W 


9.844479 


9.549380m 


9.458700m 


9.337029 


9.969786 






1856 5 


9.862833 


9.833233 


8.819592 


9.793103W 


9.844573 


9.549362re 


9.458593m 


9.337161 


9.969789 






1857 


9.862932 


9.833120 


8.819515 


9.792990m 


9.844667 


9.549344n 


9.458486m 


9.337293 


9.969792 






1858 


9.863031 


9.833007 


8.819438 


9.793876re 


9.844761 


9.549326m 


9.458379m 


9.337425 


9.969795 






1859 


9.863130 


9.832896 


8.819362 


9.793763W 


9.844855 


9.549308m 


9.458372m 


9.337557 


9.969798 






1860 5 


9.863229 


9.832781 


8.819285 


9.792649>» 


9.844949 


9.549290m 


9.45816.5m 


9.337689 


9.969801 






1861 


9.863328 


9.832668 


8.819308 


9.792.'!35W 


9.845043 


9.549272m 


9.458058m 


9.337821 


9.969804 






1862 


9.863426 


9.832555 


8.819131 


9.792421W 


9.845137 


9.549254m 


9.457951m 


9.337952 


9.969807 






1863 


9.863525 


9.832442 


8.819054 


9.792307W 


9.845231 


9.549336m 


9.457844m 


9.338084 


9.969810 






1864 5 


9.863624 


9.832329 


8.818977 


9.793193W 


9.845325 


9.549218m 


9.457737W 


9.338216 


9.969813 






1865 


9.8G3722 


9.832216 


8.818900 


9.792079W 


9.845419 


9.549300n 


9.457630m 


9.338348 


9.969816 






1866 


9.863820 


9.832103 


8.818823 


9.791 965w 


9.845512 


9..549183M 


9.457522m 


9.338479 


9.969819 






•1867 


9.863918 


9.831990 


8.818747 


9.791851W 


9.845606 


9.549162m 


9.457415m 


9.338611 


9.969822 






1868 5 


9.864016 


9.831876 


8.818670 


9.791737W 


9.845700 


9.549142m 


9.457307m 


9.338742 


9.969825 






1869 


9.864114 


9.831763 


8.818593 


9.791623W 


9.845794 


9.549126m 


9.457200m 


9.338873 


9.969838 






1870 


9.864213 


9.831649 


8.8J8516 


9.791508W 


9.845887 


9.549111m 


9.457093m 


9.339004 


9.969831 






1871 


9.864311 


9.S31536 


8.818440 


9.791 393» 


9.845981 


9.549093m 


9.456985m 


9.339135 


9.969834 






]872 5 


9.864409 


9.831422 


8.818363 


9.791279W 


9.846074 


9.549075m 


9.456877m 


9.339266 


9.969837 






1873 


9.864507 


9.831309 


8.818286 


9.7911 65>l 


9.846168 


9.549057n 


9.456769m 


9.339397 


9.969840 






1874 


9.864606 


9.831195 


8.818209 


9.791050m 


9.846361 


9.549039m 


9.45666 Ire 


9.339527 


9.969843 






1875 


9.864704 


9.831081 


8.818133 


9.790936W 


9.846355 


9.549021m 


9.456553n 


9.339658 


9.969846 






1876 5 


9.864802 


9.830967 


8.818056 


9.790821W 


9.846448 


9.549003m 


9.456445m 


9.339788 


9.969849 






1877 


9.864900 


9.830853 


8.817979 


9.790706W 


9.846541 


9.548985m 


9.456337m 


9.339919 


9.969853 






1878 


9.864999 


9.830739 


8.817902 


■9.790591W 


9.846634 


9.548967m 


9.456239m 


9.340049 


9.969855 






1879 


9.865097 


9.830625 


8.817825 


9.790477W 


9.846728 


9.548949m 


9.456 t2lM 


9.340180 


9.969858 






1880 5 


9.865195 


9.830511 


8;817748 


9.790362W 


9.846821 


9.548931m 


9.456013m 


9.340310 


9.969861 






1881 


9.865293 


9.830397 


8.817672 


9.790247W 


9.846914 


9.548913m 


9.455905m 


9.340440 


9.969864 






1882 


9.865390 


9.830283 


8.817594 


9.790132W 


9.847007 


9.548896m 


9.455797m 


9.340570 


9.969867 






1883 


9.865487 


9.830169 


8.817517 


9.790017W 


9.847100 


9.548878m 


9.455689m 


9.340700 


9.969869 






1884 5 


9.865585 


9.830055 


8.817440 


9.789903W 


9.847193 


9.548860n 


9.455581m 


9.340830 


9.969873 






1885 


9.865682 


9.829941 


8.817363 


9.789787W 


9.847286 


9.548842m • 


9.455473m 


9.340960 


9.969875 






1886 


9.865780 


9.829826 


8.817285 


9.789672W 


9.847379 


9.548825m 


9.455364m 


9.341090 


9.969878 






1887 


9.865877 


9.829712 


8.817208 


9.789557W 


9.847472 


9.548807m 


9.455256m 


9.341220 


9.969881 






1888 5 


9.865975 


9.829597 


8.817130 


9.789443W 


9.847565 


9.548789m 


9.455148m 


9.341350 


9.969884 






1889 


9.866072 


9.829483 


8.817053 


9.789337W 


9.847658 


9.548771m 


9.455040m 


9.341480 


9.969887 






1890 


9.866170 


9.829368 


8.816975 


9.78921 Iw 


9.847750 


9.548754m 


9.454931m 


9.341609 


9.969890 






1891 


9.866267 


9.829253 


8.816898 


9.789096W 


9.847843 


9.548736m 


9.454823m 


9.341739 


9.969893 






1892 5 


9.866365 


9.829139 


8.816820 


9.788980W 


9.847935 


9.548718m 


9.454714m 


9.341868 


9.969896 






1893 


9.866462 


9.829025 


8.816743 


9.788865W 


9.848028 


9.548700m 


9.454606m 


9.341998 


9.969849 






1894 


9.866559 


9.828910 


8.816665 


9.788749W 


9.848120 


9.548683m 


9.454497m 


9.342137 


9.969903 






1895 


9.866656 


9.828796 


8.816588 


9.788634m 


9.848213 


9.548665m 


9.454389m 


9.342357 


9.969905 






1896 5 


9.866754 


9.828681 


8.816510 


9.788518m 


9.848305 


9.548647m 


9.454380m 


9.343386 


9.969908 






1897 


9.866851 


9.828566 


8.816433 


9.788402W 


9.848398 


9.548629m 


9.454172m 


9.343515 


9.969911 






1898 


9.866948 


9.828451 


8.816355 


9.788286W 


9.848490 


9.548612m 


9.454063m 


9.342644 


9.969914 






1899 


9.867045 


9.828386 


8.816378 


9.788170m 


9.848583 


9.548594m 


9.453958m 


9.342774 


9.969917 






1900 5 


9.867143 


9.828231 


8.816300 


9.788054m 


9.848675 


9.548576m 


9.453849m 


9.342903 


9.969920 


, 



52 









TABLE VI 
















CONSTANTS FOR THE EQUATOR. 














Equator and mean 


Equinox at the beginning of the Ye 


ar. 








Year. 


A' 


B' 


a 


log sin a 


log sin b 


log sin c 








o 1 II 


o 1 II 


1 II 












1850 


46 52 2.4 


318 18 19.9 


307 4.4 


9.999051 


9.970859 


9.556891 






1851 


46 53 52.5 


318 19 8.8 


307 58.9 


9.999051 


9.970861 


9.556871 






1852 B 


46 53 42.8 


318 19 57.9 


307 1 53.6 


9.999051 


9.970864 


9.556851 






1853 


46 54 33.0 


318 20 46.8 


307 2 48.1 


9.999053 


9.970866 


9.556831 






1854 


46 55 23.1 


318 21 35.8 


307 3 42.7 


9.999052 


9.970869 


9.556811 






1855 


46 56 13.2 


318 24 24.7 


307 4 37.3 


9.999052 


9.970871 


9.556791 






1856 S 


46 57 3.5 


318 23 13.8 


307 5 31.9 


9.999053 


9.970874 


9.556771 






1857 


46 57 53.7 


318 24 2.7 


307 6 26.5 


9.999053 


9.970876 


9.556751 






1858 


46 58 43.8 


318 24 51.7 


307 7 21.0 


9.999053 


9.970879 


9.556731 






1859 


46 59 34.0 


318 35 40.6 


307 8 15.6 


9.999053 


9.970881 


9.556711 






1860 5 


47 24.2 


318 36 39.7 


307 9 10.3 


9.999053 


9.970884 


9.556691 






1861 


47 1 14.4 


318 27 18.6 


307 10 4.8 


9.999054 


9.970886 


9.556671 






1863 


47 2 4.5 


318 38 7.6 


307 10 59.4 


9.999054 


9.970889 


9.556651 






1863 


47 2 54.6 


318 28 56.5 


307 11 54.0 


9.999054 


9.970891 


9.556631 






1864 5 


47 3 44.9 


318 29 45.6 


307 12 48.7 


9.999054 


9.970894 


9.556611 






1865 


47 4 35.0 


318 30 34.6 


307 13 43.3 


9.999055 


9.970897 


9.556591 






1866 


47 5 25.2 


318 31 33.5 


307 14 37.9 


9.999055 


9.970900 


9.556573 






1867 


47 6 17.3 


318 32 12.4 


307 15 32.5 


9.999055 


9.970902 


9.556552 






1868 5 


47 7 7.6 


318 33 1.5 


307 16 27.2 


9.999055 


9.970905 


9.556532 






1869 


47 7 57.7 


318 33 50.5 


307 17 21.8 


9.999056 


9.970908 


9.556512 






1870 


47 8 45.9 


318 34 39.4 


307 18 16.4 


9.999056 


9.970910 


9.556492 






]871 


47 9 36.0 


318-25 28.4 


307 19 11.0 


9.999056 


9.970913 


9.556472 






187-2 B 


47 10 26.2 


318 36 17.5 


307 20 5.8 


9.999056 


9.970915 


9.556452 






]873 


47 11 16.4 


318 37 6.4 


307 21 0.4 


9.999057 


9.970917 


9.556433 






1874 


47 12 6.5 


318 37 55.4 


307 21 55.0 


9.999057 


9.970930 


9.556413 






1875 


47 12 56.6 


318 38 44.4 


307 22 49.6 


9.999057 


9.970922 


9.556393 






1876 5 


47 13 46.9 


318 39 33.5 


307 23 44.3 


9.999057 


9.970925 


9.556373 






1877 


47 14 37.0 


318 40 23.4 


307 24 39.0 


9.999058 


9.970928 


9 556353 






1878 


47 15 27.2 


318 41 11.4 


307 25 33.6 


• 9.999058 


9.970930 


9.556333 






1879 


47 16 17.3 


318 42 '0.4 


307 26 18.3 


9.999058 


9.970933 


9.556313 






1880 5 


47 17 7.5 


318 42 49.4 


307 27 .13.9 


9.999059 


9.970935 


9.556293 






1881 


47 17 57.7 


318 43 38.4 


307 28 7.5 


9.999059 


9.970938 


9.556373 






1883 


47 18 47.8 


318 44 37.4 


307 29 12.2 


9.999060 


9.970941 


9.556354 






1883 


47 19 37.9 


318 45 16.4 


307 30 6.8 


9.999060 


9.970943 


9.556234 






1884 5 


47 20 28.2 


318 46 5.5 


307 31 1.6 


9.999060 


9.970946 


9.556314 






1885 


47 21 18.3 


318 46 54.4 


307 31 56.2 


9.999061 


9.970948 


9.556194 






1886 


47 22 8.4 


318 47 43.4 


307 33 50.9 


9.999061 


9.970951 


9.556175 






1887 


47 22 58.5 


318 48 32.4 


307 33 45.5 


9.999061 


9.970953 


9.556155 






1888 5 


47 23 48.8 


318 49 21.5 


307 34 40.3 


9.999062 


9.970956 


9.556135 






1889 


47 24 38.9 


318 50 10.5 


307 35 34.9 


9.999062 


9.970958 


9.556115 






1890 


47 25 29.0 


318 50 59.5 


307.36 29.5 


9.999063 


9.970961 


9.556096 






1891 


, 47 26 19.1 


318 51 48.4 


307 37 24.2 


9.999063 


9.970963 


9.556076 






1892 5 


47 27 9.4 


318 52 37.5 


307 38 19.0 


9.999064 


9.970966 


9.556056 






1893 


47 27 59.5 


318 53 26.5 


307 39 13.6 


9.999064 


9.970968 


9.556036 






1894 


47 26r 49.6 


318 54 15.5 


307 40 8.3 


9.999065 


9.970971 


9.556017 






1895 


47 29 39.7 


318 55 4 5 


307 41 2.9 


9.999065 


9.970974 


9.555997 






1896 5 


47 30 30.0 


318 55 53.6 


307 41 57.7 


9.999066 


9.970976 


9.555977 






1897 


47 31 20.1 


318 56 42.6 


307 42 51.3 


9.999066 


9.970979 


9.555957 






1898 


47 32 10.2 


318 57. 31.6 


307 43 47.0 


9.999067 


9.970983 


9.555938 






1899 


47 33 0.3 


318 58 20.6 


307 44 41.6 


9.999067 


9.970985 


9.555918 






1900 5 


47 33 50.5 


318 59 9.7 


307 45 36.4 


9.999068 


9.970987 


9.555898