Abstract-Theoretical absorption-line profiles and radial-velocity curves for tidally deformed optical stars in X-ray binary systems are calculated assuming LTE. The variations in the profile shapes and radialvelocity curve of the optical star are analyzed as a function of the orbital inclination of the X-ray binary system. The dependence of the shape of the radial-velocity curve on the orbital inclination i increases with decreasing component-mass ratio q = m x /m v . The integrated line profiles and radial-velocity curves of the optical star are calculated for the Cyg X-1 binary, which are then used to estimate the orbital inclination and mass of the relativistic object: i < 43• and m x = 8.2−12.8 M . These estimates are in good agreement with earlier results of fitting the radial-velocity curve of Cyg X-1 using a simpler model (i < 45• , m x = 9.0−13.2 M ). c 2005 Pleiades Publishing, Inc.
INTRODUCTIONThe optical component in an X-ray binary system is tidally deformed and has a complex temperature distribution on its surface due to the effects of gravitational darkening and X-ray heating. These effects of the interaction between the components give rise to orbital variability of the absorption-line profiles of an optical star. The orbital variability of the absorption profiles leads to a dependence of both the half-amplitude and the shape of the radial-velocity curve on the orbital inclination i and the component-The dependence of the shape of the radial-velocity curve of a tidally deformed optical star on the parameters of a close binary system was first pointed out by Sofia and Wilson [1]. Antokhina and Cherepashchuk [2] and Shabaz [3] proposed a new method for determining the component-mass ratio q = m x /m v and orbital inclination i of an X-ray binary based on the orbital variability of the absorptionline profiles in the spectrum of the optical star. Abubekerov et al. [4] estimated the orbital inclination of the X-ray binary Cyg X-1 using a high-accuracy observational radial-velocity curve.Here, we present the results of theoretical modeling of the radial-velocity curve of the optical star in a Roche model assuming LTE for various orbital inclinations, for X-ray systems with low-, moderate-, and high-mass optical stars. We analyze variations in the radial-velocity curve with variations of i for various values of q, together with the corresponding variations in the Hγ absorption-line profile.