THE MATHEMATICAL RELATIONSHIP IS ANALYZED BETWEEN BRIGHTNESS TEMPERATURES EXPRESSED IN TWO ORTHOGONAL POLARIZATIONS OF MARTIAN THERMAL RADIATION, WHICH WERE MEASURED BY THE RADIOMETER OF THE MARS 3 PLANETARY PROBE, AND PROPERTIES OF MARTIAN SOIL. DIELECTRIC CONSTANT EPSILON AND T CONTAINING THE INSTRUMENTATION PARAMETERS ARE UTILIZED TO EVALUATE THE INFLUENCE OF PARTICULAR ERRORS ON THE RELATIVE ERROR OF THE EPSILON AND T DETERMINATION. THE INFLUENCE OF THE RADIOMETER PARAMETERS, ERRORS IN DETERMINING THE ANTENNA ORIENTATION, AND ERRORS OF THE TELEMETERING SYSTEM ON THE TOTAL ERROR IN EPSILON AND T DETERMINATION, ARE EVALUATED. THE ZONES ARE CALCULATED FOR OPTIMUM ANGLES OF RADIOMETER ANTENNA ORIENTATION WITH RESPECT TO THE SURFACE AT WHICH THE MINIMUM ERROR IS ENSURED. CALCULATIONS ARE MADE FOR THE MAXIMUM POSSIBLE ERROR CAUSED BY DEPOLARIZATION OF RADIATION RECEIVED BY THE NEAREST SIDE LOBES OF THE ANTENNA. ERROR IN THE DETERMINATION OF EPSILON IS REDUCED TO 10-15%, WITH THE EXISTING INSTRUMENTATION AND THE OPTIMUM CHOICE OF EXPERIMENTAL CONDITIONS.