Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006arep...50..116o&link_type=abstract
Astronomy Reports, Volume 50, Issue 2, p.116-122
Astronomy and Astrophysics
Astronomy
Scientific paper
The tensor virial theorem is used to analyze the conditions for the existence of an equilibrium cluster moving in a circular orbit in a stationary axisymmetric galaxy. A general necessary condition is derived, which, for uniform models, coincides with the Bok stability condition. Generalized Mineur ellipsoids are constructed for nonuniform systems with anisotropic velocity distributions. The Hill stability of the cluster is analyzed.
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