On a Non-Local Stability of Self-Gravitating Stellar Systems

Details On a Non-Local Stability of Self-Gravitating Stellar Systems On a Non-Local Stability of Self-Gravitating Stellar Systems

Apr 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981pthph..65.1264t&link_type=abstract

Progress of Theoretical Physics, Vol. 65, No. 4, pp. 1264-1280

Physics

1

Scientific paper

Antonov's theory on a stability of collisionless self-gravitating systems is extended so as to include a differential rotation. For slowly rotating systems, the perturbation method is developed on the basis of a linearized Vlasov and Poisson equations with axi-symmetry. By means of this method, a marginal stability is analyzed for a series of Miyammoto's stellar disk models. It is shown that among these stellar disks a class is unstable for a velocity deviation due to the differential rotation. A brief discussion how the method may be applied to a stability analysis of spherical systems is also given.

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