Roche-lobe overflow in X-ray binaries

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Stellar Evolution, Stellar Mass Accretion, Stellar Motions, X Ray Binaries, X Ray Stars, Angular Momentum, Digital Simulation, Orbital Mechanics, Pulsars, Radiative Lifetime, Stellar Mass, Stellar Rotation, Stellar Winds

Scientific paper

Detailed calculations are performed to determine the duration of the initial stage of Roche-lobe overflow for a variety of X-ray binary systems. A method is outlined which permits a very accurate numerical determination of the mass-transfer rate by introducing this rate as an extra Henyey unknown. The corresponding extra Henyey equation is obtained from a relation linking the mass-transfer rate with the excess of the stellar radius beyond the Roche-lobe radius. Effects of nonsynchronous rotation of the contact star are examined, expressions are given for the resynchronization time scale corresponding to different frictional effects in the envelope of the contact star, and the resulting X-ray lifetimes are presented together with curves of mass-transfer rate vs time since the onset of Roche-lobe overflow for various systems with primary masses ranging from 1.5 to 20 solar masses. The results are compared with observational data on X-ray binaries, particularly Her X-1, Cen X-3, and SMC X-1.

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