A two-component model of a spherical stellar system

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Dynamic Models, Star Distribution, Stellar Mass, Stellar Systems, Thermodynamic Equilibrium, Density Distribution, Distribution Functions, Radial Velocity, Spheres, Star Clusters, Velocity Distribution

Scientific paper

As a generalization of the King's (1966) widely used model for a spherical stellar system containing stars of identical masses, a two-component model of an equilibrium stellar system consisting of stars of two different masses is built proceeding from a proper generalization of the distribution function. In such a system, the principle of thermal equilibrium, generally speaking, does not hold, i.e., equipartition of mean kinetic energy between light and heavy stars is absent. The radial distribution of partial density and velocity dispersion for each of the components and of the total density and velocity dispersion is obtained. The profiles of both the total density and velocity dispersion differ considerably from those given by the King's one-component model, especially in the center of the system. In particular, the velocity dispersion of stars may there have a nonmonotonic behavior.

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