Simplest hydrodynamic models of dynamically inhomogeneous spherical gravitating systems

Computer Science – Numerical Analysis

Scientific paper

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Astronomical Models, Gravitation Theory, Hydrodynamics, Spheres, Stellar Models, Anisotropy, Inhomogeneity, Mass Distribution, Numerical Analysis, Radial Velocity, Velocity Distribution

Scientific paper

Steady state spherical models consisting partially of 'stellar gas' with nonspherical velocity distributions are considered for two subsystems with specified mass distributions. The radial velocity dispersions are determined for each subsystem, assuming that the shape of the velocity ellipsoid changes in accordance with the generalized Eddington formula. It is concluded that the presence of the central nuclei increases dispersion values of background stars, which is only evident in the most internal regions of the system, and that anisotropy of the velocity distributions and inhomogeneity of the background are insignificant. It is proven that in the case of nuclei of finite size the dispersion velocity drop towards the periphery is nonmonotonous, and stability of these configurations is unknown.

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