The Effects of Non-Vanishing Stellar Size in Binary - Star Scattering

Statistics – Computation

Scientific paper

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Globular Clusters, Neutron Star, White Dwarf, Main Sequence Star

Scientific paper

A process thought to be important in explaining the observational characteristics and overall evolution of globular clusters is that of binary-single star scattering. This study explores the effects that result from the non-infinitesimal sizes of the interacting stars, in contrast to many preceding studies in which the stars have been treated as points. Computationally simple, and therefore relatively crude, models have been developed for the effects of tidal forces and mass transfer between the stars, and these models have been included in a large-scale Monte Carlo calculation of the overall effects of scattering. The principle case studied was that of a 1.4 Modot neutron star incident on a binary composed of a 1.0 M odot white dwarf and a 0.4 Modot main -sequence star, which was placed in an initially circular orbit with a period of about 3.8 days. Tn order to determine the relative importances of some of the parameters involved in the simulations, additional calculations were conducted in which the initial orbital period, the orbital eccentricity, the set of masses and the strength of the tidal perturbation were varied from their values in the standard case. In addition to providing new estimates for the cross sections for ionization events, exchange events and various kinds of mass transfer, these calculations reveal the wholly unanticipated possibility that the process of mass transfer may produce ionization interactions even when the total energy of the three-body system (excluding the internal binding energy of the stars) is initially less than zero. (Copies available exclusively from MIT Libraries, Rm. 14-0551, Cambridge, MA 02139-4307. Ph. 617-253-5668; Fax 617-253 -1690.).

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