Parameters of core-collapse

Abstract

This paper considers the phenomenon of deep core collapse in collisional stellar systems, with stars of equal mass. The collapse takes place on some multiple, $ξ^{-1}$, of the central relaxation time, and produces a density profile in which $ρ\propto r^{-α}$, where $α$ is a constant. The parameters $α$ and $ξ$ have usually been determined from simplified models, such as gas and Fokker-Planck models, often with the simplification of isotropy. Here we determine the parameters directly from N-body simulations carried out using the newly completed GRAPE-6.