Non-local stability of self gravitating stellar systems

Details Non-local stability of self gravitating stellar systems Non-local stability of self gravitating stellar systems

Sep 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980stin...8227204t&link_type=abstract

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Physics

Analytic Functions, Boltzmann-Vlasov Equation, Coriolis Effect, Galactic Evolution, Poisson Equation, Star Clusters, Stellar Systems, Energy Levels, Partial Differential Equations, Perturbation Theory, Stellar Rotation

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 axisymmetry. A marginal stability is analyzed for a series of Miyamoto'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. Its physical meaning is also discussed in connection with a characteristic shape of a density perturbation.

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