Unstable modes of a spherical stellar system

Statistics – Computation

Scientific paper

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51

Many Body Problem, Motion Stability, Stellar Motions, Stellar Orbits, Stellar Systems, Computational Astrophysics, Eigenvalues

Scientific paper

This work studies the radial orbit instability for a family of anisotropic isochrone spheres by a numerical linear stability analysis, and then compares the results with N-body simulations. A new way of choosing basis functions for the modes is introduced that allows spatially infinite systems to be handled without truncation. For the more unstable models, the shapes and growth rates of the modes are fairly well reproduced in N-body simulations. These results suggest that spherical models are unstable over a wider range of anisotropies than previously supposed.

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