Binary fission in damped rotating polytropes

Physics – Fluid Dynamics

Scientific paper

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Binary Stars, Polytropic Processes, Protostars, Stellar Evolution, Angular Momentum, Density Distribution, Equations Of Motion, Stellar Rotation

Scientific paper

A study is conducted of the instabilities in self-gravitating gases. The study makes use of a numerical method reported by Gingold and Monaghan (1977). The principal features of this method are that the fluid is replaced by a set of fluid elements or particles. The density and other physical fields are obtained by a statistical smoothing procedure. The equations of fluid dynamics are replaced by a set of Newtonian equations for the center of mass coordinates of the particles. The numerical calculations described are for differentially-rotating polytropes. An initially spherical model was given uniform rotation, and a damping term was introduced to remove radial motion while conserving total angular momentum. The reported study is to make a contribution to the theory of the origin of binary stars.

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