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Vibrations of Non-Uniform Spherical Systems

Published online by Cambridge University Press:  14 August 2015

G. Severne  and
A. Kuszell
G. Severne
Affiliation:
Fakulteit Wetenschappen, Vrije Universiteit Brussel, Brussels, Belgium
A. Kuszell
Affiliation:
Institute of Nuclear Research, Warsaw-Swirck, Poland

Abstract

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Dispersion relations have been obtained and analyzed for a non-uniform, non-rotating spherical gravitational system. A restriction to short wavelengths makes it possible to consider a linearized form of the collisionless Boltzmann equation, differing from that for homogeneous systems by the appearance of a term expressing the effect of the mean self-gravitational field upon the motion. The mean field affects the radially directed wave perturbations, with a breaking of symmetry.

Inwardly and outwardly directed modes have quite different propagation characteristics, inward modes being preferentially propagated. Locally, the stability of the system is enhanced due to the effect of the mean field.

Type
Part I/Spherical Systems
Information
Symposium - International Astronomical Union , Volume 69: Dynamics of Stellar Systems , 1975 , pp. 47 - 52
Copyright
Copyright © Reidel 1975 

References

Lynden-Bell, D.: 1962, Monthly Notices Roy. Astron. Soc. 124, 279.Google Scholar
Severne, G. and Kuszell, A.: 1975, Astrophys. Space Sci. (to appear, denoted as Ref. I).Google Scholar