Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aj....127.2154a&link_type=abstract
The Astronomical Journal, Volume 127, Issue 4, pp. 2154-2161.
Astronomy and Astrophysics
Astronomy
2
Galaxy: Globular Clusters: General
Scientific paper
The number of stellar encounters in a globular cluster per unit time, with given changes in energy and direction of motion relative to the cluster center, has been determined assuming an anisotropic field star distribution function. An exact expression for the integrated probability of such encounters is derived for the case of equal-mass stars, and ranges of physical variables are analyzed. The distributions of the probability and number of encounters in a globular cluster with and without a black hole in the Plummer and King models are also studied. It is shown that the influence of the black hole on the probability distribution almost vanishes at the distance r0~1.55rc, where rc is the core radius of the cluster. Moreover, in the area of radius (2-3)r0 strong encounters are significant and the Fokker-Planck approximation cannot be used for modeling the dynamical evolution of globular clusters. The method is developed for determining the probability of distant (weak), as well as close, encounters and for studying the dynamical evolution of globular clusters in the space of the energy integral (E) and angular momentum per unit mass (J) under close encounters.
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