Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985afz....23...77o&link_type=abstract
(Astrofizika, vol. 23, July-Aug. 1985, p. 77-90) Astrophysics (ISSN 0571-7132), vol. 23, no. 1, Jan. 1986, p. 420-428. Translati
Astronomy and Astrophysics
Astrophysics
Astronomical Models, Galactic Evolution, Many Body Problem, Stellar Motions, Virial Theorem, Composition (Property), Gravitational Fields, Particle Interactions, Poincare Problem, Self Consistent Fields
Scientific paper
A generalization is developed of a virial theorem for subsystems of constantly varying particles, which could occur in a limited region from which particles are exiting and into which particles are moving. Account is taken of the possibility that the boundary of the system will vary over time. For a nonsteady composition of self-consistent gravitating particles, the theorem is a generalized form of the Poincare-Eddington equation, which is pertinent to the n-body problem. A sample application of the model is provided in terms of describing the dynamical effects on a gravitating system of varying composition. Use of the theorem to investigate the expulsion of plasmoids from the center of galaxies is indicated.
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