A conservative numerical technique for collisionless dynamical systems - Comparison of the radial and circular orbit instabilities

Statistics – Computation

Scientific paper

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Circular Orbits, Computational Astrophysics, Many Body Problem, Orbit Perturbation, Orbital Mechanics, Bessel Functions, Conservation Equations, Dynamical Systems, Equations Of Motion, Radial Distribution

Scientific paper

A smooth potential numerical technique has been developed for simulating dynamical systems for which the potential can be described adequately by a small number of basis functions. The technique produces little numerical diffusion in phase space for individual stars, but gives a full description down to the level of individual orbits. The technique is applied to the stability of isolated, initially spherical systems. Results are presented from using the technique to study the radial and circular orbit instabilities in spherical systems, showing good agreement with linear theory.

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