Other
Scientific paper
Dec 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995azh....72..937p&link_type=abstract
Astronomicheskij Zhurnal, vol. 72, p. 937
Other
4
Binary Stars, Stellar Motions, Apsides, Density Distribution, Least Squares Method, Stellar Systems, Surface Properties, Logarithms
Scientific paper
The rate of the periastron's motion caused by the mutual tidal distortion of the components of a binary system depends on the constants of apsidal motion k2 specifying the density distribution in each of the components. In the surface layers of the star, where the density is small, the parameters k2 are inversely proportional to the 5th power of the radial distance r. Hence, the value of k2r exp 5 in the surface layers is nearly constant and does not depend on the structure of the star's outer layers and on the way the position of the star's surface is chosen. Since the expression for the rate of apsidal motion contains the product k2R exp 5 (R is the star's radius), there is a possibility to avoid errors introduced by the calculations of star's surface layers into the predicted rates of the motion of the lines of apsides. For this purpose, it is appropriate to use the theoretical radii from the same calculations as the constants of apsidal motion. The k2R exp 5 parameters calculated by various authors are consistent with each other better than the constants k2. For the stars of the initial main sequence, the dependence of log(k2R exp 5) on the logarithm of the star's mass is linear and changes slightly with the opacities used and hydrogen content. For stars with mass lower than 1.5 solar mass, there is a small deviation from the linear dependence. Based on the calculations of evolutionary changes of the constants of apsidal motion, the least squares approximation of k2R exp 5 as a function of the mass and the age of the star is obtained.
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