Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989japa...10..279s&link_type=abstract
Journal of Astrophysics and Astronomy (ISSN 0250-6335), vol. 10, Sept. 1989, p. 279-293.
Astronomy and Astrophysics
Astrophysics
9
Galaxies, Stellar Motions, Stellar Oscillations, Virial Theorem, Boltzmann Transport Equation, Disks, Hamiltonian Functions, Spherical Shells, Spheroids
Scientific paper
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 disks 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.
Nityananda Rajaram
Sridhar Srinath
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