Astronomical School’s Report, 2003, Volume 4, Issue 1, Pages 45–46

https://doi.org/10.18372/2411-6602.04.1045
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UDC 542

The exact form of autonomous oscillations of the Camm’s phase model of spherical stellar cluster

Antonov V.A.1, Nuritdinov S.N.2

1Pulkovo Observatory, Russia
2Astronomy Department, Tashkent University, Uzbekistan

Abstract

Two interesting properties of the Camm’s equilibrium model are given. The analytical exact form of its autonomous oscillations associated with volume perturbations is found by the Jacobi polynomials. The total stability of the model with respect to arbitrary asymmetric oscillations is proved.

Keywords:

References

  1. Polyachenko V.L., Fridman A.M. Ravnovesie i ustoychivost’ gravitiruyuschikh sistem, M.: Nauka, 1976, 447 p.
  2. Polyachenko V.L., Astrofizika, 1987, 27, C. 296.

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