An exploratory eccentric orbit 'Roche lobe' overflow model for recurrent X-ray transients

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Mass Transfer, Roche Limit, Stellar Models, X Ray Sources, Anomalies, Eccentric Orbits, Stellar Mass Accretion, Stellar Mass Ejection, Transient Response

Scientific paper

The mass transfer rate (M) variations which could occur with orbital phase in an eccentric, semidetached binary star system is estimated by means of calculations which assume that the rate can be instantaneously described in terms of overflow through a Roche lobe nozzle in the neighborhood of the inner Lagrange point. The primary envelope, in the neighborhood of the effective Roche lobe, is taken to have an exponential distribution of density with scale height. Orbital variation of the binary separation then results in a dynamic variation in M. A correction factor is estimated for the effect of M of the instantaneous motion of the effective Roche surface; this factor makes the peak in M precede periastron.

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