Undamped oscillations of collisionless stellar systems: Spheres,spheroids and discs |
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| Authors: | S Sridhar R Nityananda |
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| Institution: | (1) Raman, Research Institute, 560080 Bangalore;(2) Joint Astronomy Programme, Indian Institute of Science, 560012 Bangalore |
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| 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 |
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| Keywords: | stellar dynamics galaxies |
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