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Title: Undamped oscillations of collisionless stellar system: spheres, spheroids and discs.
Authors: Sridhar, S.
Nityananda, R.
Keywords: Stellar dynamics
Issue Date: 1989
Publisher: Indian Academy of Sciences, Bangalore, India.
Citation: Journal of Astrophysics and Astronomy, 1989, Vol. 10, p279 -293.
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. Quasi- periodic 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.
ISSN: 0250-6335
Copyright: Indian Academy of Sciences, Bangalore, India.
Appears in Collections:Research Papers (A&A)

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