Calculation of the masses of the binary star HD 93205 by application of the theory of apsidal motion
Abstract
We present a method to calculate masses for components of both eclipsing and noneclipsing binary systems as long as their apsidal motion rates are available. The method is based on the fact that the equation that gives the rate of apsidal motion is a supplementary equation that allows the computation of the masses of the components, if their radii and the internal structure constants can be obtained from theoretical models. For this reason the use of this equation makes the method presented here model dependent.
We apply this method to calculate the mass of the components of the noneclipsing massive binary system HD 93205 (O3V+O8V), which is suspected to be a very young system. To this end, we have computed a grid of evolutionary models covering the mass range of interest, and taking the mass of the primary (M_{1}) as the only independent variable, we solve the equation of apsidal motion for M_{1} as a function of the age of the system. The mass of the primary that we find ranges from M_{1}=60+/19M_{solar} for zeroage mainsequence models, which sets an upper limit for M_{1}, down to M_{1}=40+/9M_{solar} for an age of 2Myr. Accordingly, the upper limit derived for the mass of the secondary (M_{2}=QM_{1}) M_{2}=25M_{solar} is in very good agreement with the masses derived for other O8V stars occurring in eclipsing binaries.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 February 2002
 DOI:
 10.1046/j.13658711.2002.05083.x
 arXiv:
 arXiv:astroph/0110662
 Bibcode:
 2002MNRAS.330..435B
 Keywords:

 BINARIES: ECLIPSING;
 STARS: EARLYTYPE;
 STARS: EVOLUTION;
 STARS: FUNDAMENTAL PARAMETERS;
 STARS: INDIVIDUAL: HD 93205;
 STARS: INTERIORS;
 binaries: eclipsing;
 stars: earlytype;
 stars: evolution;
 stars: fundamental parameters;
 stars: individual: HD 93205;
 stars: interiors;
 Astrophysics
 EPrint:
 To be published in MNRAS, 7 pages, 8 figures