Undamped oscillations of collisionless stellar systems: spheres, spheroids and discs

Sridhar, S. ; Nityananda, R. (1989) Undamped oscillations of collisionless stellar systems: spheres, spheroids and discs Journal of Astrophysics and Astronomy, 10 (3). pp. 279-293. ISSN 0250-6335

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Official URL: http://www.ias.ac.in/jarch/jaa/10/279-293.pdf

Related URL: http://dx.doi.org/10.1007/BF02715001

Abstract

The collisionless Boltzmann equation governing self-gravitating systems such as galaxies has recently been shown to admit exact oscillating solutions with planar and spherical symmetry. The relation of the spherically symmetric solutions to the Virial theorem, as well as generalizations to non-uniform spheres, uniform spheroids and discs form the subject of this paper. These models generalize known families of static solutions. The case of the spheroid is worked out in some detail. Quasiperiodic as well as chaotic time variation of the two axes is demonstrated by studying the surface of section for the associated Hamiltonian system with two degrees of freedom. The relation to earlier work and possible implications for the general problem of collisionless relaxation in self gravitating systems are also discussed.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Stellar Dynamics; Galaxies
ID Code:26468
Deposited On:06 Dec 2010 12:29
Last Modified:17 May 2016 09:46

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