Stellar dynamical models of elliptical systems

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Dynamic Models, Elliptical Galaxies, Stellar Models, Stellar Systems, Distribution Functions, Energy Distribution, Pressure Distribution, Velocity Distribution

Scientific paper

The properties of a family of distribution functions which describe axisymmetric self-gravitating non-rotating stellar systems are discussed. These models can be treated self-consistently for the cases where the departure from spherical symmetry is small. One self-consistent equilibrium of the family is calculated in detail. It is found to develop pressure anisotropy, velocity dispersion, and energy distribution well in agreement with results obtained in recent N-body simulations. In addition, it satisfies the de Vaucouleurs law for the projected density distribution in a wide radial range, even though it tends to exhibit a sizable core structure with a flat profile at the center. These models can be easily generalized to include the presence of rotation.

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