Stability of spherical gravitating collisionless systems

Details Stability of spherical gravitating collisionless systems Stability of spherical gravitating collisionless systems

Oct 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987afz....27..295p&link_type=abstract

Astrofizika (ISSN 0571-7132), vol. 27, Oct. 1987, p. 295-309. In Russian.

Astronomy and Astrophysics

Astronomy

Dynamic Stability, Gravitational Effects, Star Clusters, Stellar Motions, Circular Orbits, Eigenvalues, Resonant Frequencies, Spheres, Stellar Oscillations

Scientific paper

The stability of collisionless star clusters with various character of anisotropy of velocity distribution is investigated with the help of the common method using the reduction procedure (by reducing the stability problem of a spherical system to the analogous problem of perturbations of the simplest form for a corresponding cyclindrical system). For a spherical system immersed into a massive "halo" or containing a large central mass the equations of eigenfunctions and frequencies of oscillations (the integral ones in the simplest case) are derived.

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