The statistics of the gravitational field arising from an inhomogenous system of particles
A. Del Popolo 1,2 and
M. Gambera 1,3
Received 13 March 1998 / Accepted 14 October 1998
In this paper we extend Chandrasekhar and von Neumann's analysis of the statistics of the gravitational field to systems in which particles (e.g. stars, galaxies) are not homogeneously distributed. We derive a distribution function giving the joint probability that a test particle is subject to a force F and an associated rate of change of F given by dF /dt. We calculate the first moment of dF /dt to study the effects of inhomogenity on dynamical friction.
Key words: cosmology: large-scale structure of Universe galaxies: interactions galaxies: clusters: general galaxies: star clusters stars: statistics methods: analytical
Send offprint requests to: A. Del Popolo, M. Gambera (firstname.lastname@example.org)
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© European Southern Observatory (ESO) 1999
Online publication: December 22, 1998