Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993astl...19..224k&link_type=abstract
Astronomy Letters, Vol. 19, p. 224-228; Pis'ma v Astronomicheskij Zhurnal (ISSN 0320-0108), vol. 19, no. 6, p. 564-576. In Russ
Astronomy and Astrophysics
Astronomy
Celestial Mechanics, Elliptical Orbits, Star Clusters, Stellar Systems, Three Body Problem, Eccentric Orbits, Moments Of Inertia, Stellar Evolution, Stellar Motions
Scientific paper
The paper is concerned with the dynamic evolution of stars that are members of clusters (associations) whose centers rotate along an elliptical orbit around the center of the Galaxy. Taking into account the tidal force of the Galaxy and the regular cluster field, an equation of the i-th star is derived. The eccentric anomaly of the orbit is used as an independent variable. The equation of motion is averaged over the independent variable. A generalized Lagrange-Jacobi equation and Sundman' inequality are derived and used to investigate the evolution behavior of the moment of inertia of clusters. Several statements are presented concerning the limits of star cluster motion.
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