The stability of spherical stellar systems with a compact central mass

Details The stability of spherical stellar systems with a compact central mass The stability of spherical stellar systems with a compact central mass

Apr 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.231..935p&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 231, April 15, 1988, p. 935-951.

Statistics

Computation

17

Black Holes (Astronomy), Center Of Mass, Critical Mass, Elliptical Galaxies, Stellar Mass, Stellar Systems, Angular Momentum, Computational Astrophysics, Distribution Functions, Landau Damping, Perturbation Theory, Stellar Rotation

Scientific paper

The authors consider the stability of spherical stellar systems with anisotropic distribution functions peaked or singular for radial orbits. They consider the effect of a small central point mass on the instability to non-radial modes previously found in these systems. The authors show that as the point mass grows in magnitude purely growing modes are converted to overstable modes before becoming stable once the point mass is larger than a critical value. They estimate numerical values for such critical masses in the case of a generalized polytropic model system.

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