Effects of encounters with field stars on the evolution of low-mass semidetached binaries

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Binary Stars, Gravitational Effects, Orbit Perturbation, Stellar Evolution, Cross Sections, Globular Clusters, Roche Limit, Stellar Motions, X Ray Sources

Scientific paper

Consequences of close encounters on the binary parameters and on the mass transfer rate and its stability are discussed. Thousands of numerical experiments have been performed in order to obtain accurate cross sections for inducing eccentricity in binaries with initially circular orbits. Analytic formulae are presented relating the radius excess of the secondary component over its Roche lobe to the mass transfer rate, for two extreme models of mass outflow: adiabatic and isothermal. Mass transfer is found to be stable even if there is no angular momentum transferred from the disk around the primary component back into binary orbit, provided the mass ratio is greater than 4.6. It is not likely that close encounters significantly affect the evolution of bright globular cluster X-ray sources, unless central densities in the cores of those clusters are much higher than commonly believed.

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