Abstract

This paper analyses the effect of introducing random perturbations δ r in the positions r of each member of a self-gravitating system of point masses. Exact and approximate expressions are derived for the bivariant probability density W( F, f that a given test particle at some point r 0 feel a total unperturbed force F and a perturbation f . Analysis of this W( F, f supports the prediction that close encounters and the bulk mean field should be of comparable importance in determining the response of the system to an initial perturbation.

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