Instability in spherical stellar systems

Details Instability in spherical stellar systems Instability in spherical stellar systems

Feb 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.224.1043p&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 224, Feb. 15, 1987, p. 1043-1053.

Astronomy and Astrophysics

Astronomy

82

Dynamic Stability, Stellar Orbits, Stellar Systems, Systems Stability, Angular Momentum, Differential Equations, Eigenvalues, Integral Equations, Polytropic Processes

Scientific paper

The authors show that a spectrum of purely growing modes exists in models of spherical stellar systems which are strongly peaked towards radial orbits. This spectrum has an accumulation point at ω = 0 if the distribution function is unbounded for zero angular momentum orbits. The authors show that no stability criterion can be found of the form of a critical anisotropy parameter, e.g. 2Tr/T|, and derive a straightforward eigenvalue problem which yields a sufficient condition for the absence of this low growth rate spectrum. They also study this spectrum for some generalized polytropic models.

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