Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978azh....55...41o&link_type=abstract
Astronomicheskii Zhurnal, vol. 55, no. 1, 1978, p. 41-46. In Russian.
Astronomy and Astrophysics
Astronomy
Celestial Mechanics, Hydrodynamic Equations, Star Clusters, Stellar Motions, Stellar Systems, Astrodynamics, Ellipsoids, Steady State, Theorem Proving, 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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