Title

Relative chaos in gravitating systems with massive centre

Document Type

Article

Publication Date

1-1-1998

Abstract

A geometric method, namely the Ricci curvature criterion, is used to study the relative instability of evolving N-body gravitating systems with massive centres. The performed numerical experiments show that the Ricci curvature decreases with the increase in central concentration, thus indicating an increasing instability for systems with massive centre - either in the form of a point mass or a core formed during the evolution of single and multimass systems. Simulations of such systems do indeed suggest that they have faster gravothermal evolution than less concentrated ones. © 1998 Elsevier Science B.V.

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