Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005hia....13..379a&link_type=abstract
In: Highlights of Astronomy, Vol. 13, as presented at the XXVth General Assembly of the IAU - 2003 [Sydney, Australia, 13 - 26 J
Astronomy and Astrophysics
Astronomy
Dense Stellar Systems
Scientific paper
It is known that the presence of a black hole in the globular cluster (GC) affects the stellar density profile and the central stellar dynamics. In this paper a problem of the dynamical evolution under close encounters in the GC where a black hole is present is considered. Since the evolution temp depends on the rate of the stellar encounters an exact expression for the probability of encounters with given changes of energy integral and angular momentum per unit mass is determined assuming an anisotropic field star distribution function. It is used as a core of the collisional term of the Boltzman's equation. A behaviour of the probability density in a globular cluster with and without a black hole has been studied for Plummer and King-Michie models in the isotropic and anisotropic cases. Because of this method takes weak as well as close encounters into account it is more general method than Fokker-Planck one.
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