Derivation of an equation of pair correlation function from BBGKY hierarchy in a weakly coupled self-gravitating system

Abstract

An equation of pair correlation function has been derived from the first two members of BBGKY hierarchy in a weakly coupled inhomogeneous self gravitating system in quasi thermal equilibrium. This work may be useful to study the thermodynamic properties of the central region of a star cluster which is older than a few or more central relaxation time.