On the tidal evolution of massive X-ray binaries - The spin-up and circularization rates for systems with evolved stars and the effects of resonances

Astronomy and Astrophysics – Astronomy

Scientific paper

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Binary Stars, Stellar Evolution, Stellar Rotation, X Ray Astronomy, X Ray Binaries, X Ray Stars, Eccentric Orbits, Orbit Perturbation, Orbital Mechanics, Spin Dynamics, Stellar Models, Stellar Motions

Scientific paper

The response of a nonrotating 20-solar-mass star to a periodic perturbing tidal potential is calculated. The fully nonadiabatic, but linearized equations are solved numerically for a wide range of orbital frequencies for various stages of the core hydrogen burning phase of the star. Results are given from which the tidal spin-up and orbital circularization rates can be determined at any stage of the core hydrogen burning phase. Calculations of the orbital evolution starting from periods of four and six days and eccentricity of 0.25 are then presented. In each case it is found that the effectiveness of tidal evolution increases substantially during the late phases of core hydrogen burning, resulting in circularization of the orbit and a sharp decrease of the orbital period. The relationship of the results to previous results obtained from asymptotic theory for low frequencies is also discussed.

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