Hydrodynamics of collisionless spherical stellar systems in a steady state

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Hydrodynamic Equations, Star Clusters, Stellar Motions, Stellar Systems, Ellipsoids, Spheres, Steady State, Velocity Distribution

Scientific paper

The applicability of hydrodynamic equations of arbitrary order to the dynamics of stellar systems is investigated. A chain of moment equations for steady-state spherical systems is considered. It is proved that for such systems, the excess in the velocity distribution will vanish if and only if the velocity variances satisfy well-known relations of ellipsoidal dynamics.

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