Statistics – Computation
Scientific paper
Feb 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...368...66w&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 368, Feb. 10, 1991, p. 66-78.
Statistics
Computation
45
Computational Astrophysics, Galactic Structure, Stellar Models, Stellar Physics, Nyquist Diagram, Stellar Mass, Stellar Orbits, Systems Stability
Scientific paper
A matrix-eigenequation technique is used here to determine the stability of two commonly used galaxy and cluster profiles, the King and Michie models, with anisotropic velocity distributions. In the case of the King models only one unstable mode is found for l = 2, the previously identified radial-orbit instability. This mode appears for a wide range of central concentrations. No instabilities were found for the Michie models. These models had moderate but not extreme circular anisotropy, suggesting that any instabilities for circularly anisotropic models may occur only for systems of nearly circular orbits. As a function of anisotropy, the stability boundary for the radial anisotropic King models coincides with the appearance of a positive gradient of the stellar distribution in a direction in phase space determined by the dominant resonance. This leads to a potentially useful diagnostic for instability which has a simple analytic expression.
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