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Numerical integrations of the classical N -body problem have been carried out on a fast computer for a variety of clusters in the range N = 25 to N = 100. Newtonian forces are slightly modified to give convergence for collisions. The solutions are completely general and the results are applied to clusters of galaxies. It is found that the moment of inertia increases considerably even if bodies are not lost by ejection. At the same time there is an increase of mass in the central regions. The derived relaxation times are substantially longer than predicted by the theory of Chandrasekhar, but even so there is a deficiency of escapers for N ≳ 50. Some of the light cluster members are lost when the effect of cosmic expansion is included.
Aarseth et al. (Sat,) studied this question.