Numerical experiments on radial virial oscillations in N-body systems

Statistics – Computation

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Computational Astrophysics, Gravitational Fields, Many Body Problem, Stellar Oscillations, Virial Theorem, Mass Distribution, Open Clusters, Stellar Mass

Scientific paper

Initially uniform and spherical bound systems of mass points exhibit radial pulsations on a dynamical time-scale, analogous to adiabatic pulsations in stars. Starting from the identity of Lagrange, Chandrasekhar and Elbert (1972) derived relations for the period and amplitude of these oscillations. Results of numerical experiments on these pulsations in N-body systems are presented. In quiet systems starting near virial equilibrium, the amplitude of the pulsations is small and they are long lived. In this case, the lifetime depends strongly on the number of particles. Collisional effects and mixing eventually lead to damping. Violent oscillations turn out to be self-destructive. It is shwon how these pulsations can produce escapers.

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