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Dynamical Friction Effects on the Motion of Stars in Rotating Spherical Clusters

Published online by Cambridge University Press:  14 August 2015

A. S. Baranov  and
Yu. V. Batrakov
A. S. Baranov
Affiliation:
Institute of Theoretical Astronomy, Leningrad, U.S.S.R.
Yu. V. Batrakov
Affiliation:
Institute of Theoretical Astronomy, Leningrad, U.S.S.R.

Abstract

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Effects of dynamical friction on star orbits in a spherical cluster uniformly rotating with small angular velocity about a fixed axis are considered, deformations of the cluster due to the rotation being neglected. The test star is supposed to move in a noncircular restricted orbit under the influence of both the attraction of the cluster with the smoothed-out distribution of stellar matter and dynamical friction due to random encounters of the test star with other stars of the cluster.

The approximate formula for dynamical friction has been deduced, the encounters being supposed to be the binary ones. The differential equations for the osculating elements of the star orbit have been obtained for the two cases of the density distribution - the uniform and the exponential ones. The numerical results demonstrate the complicated character of dynamical friction effects on the evolution of the orbit. The orbit tends to become circular, and its inclination decreases. These effects are proportional to the mass of the test star. This leads to the conclusion that dynamical friction contributes noticeably to the concentration of massive stars near the center of the cluster.

Type
Research Article
Information
Symposium - International Astronomical Union , Volume 62: The Stability of the Solar System , 1974 , pp. 285 - 296
Copyright
Copyright © Reidel 1974 

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