On the Stability of Stellar Systems with Double Massive Centre

Abstract

The Ricci curvature criterion is used for the investigation of the relative instability of several configurations of N-body gravitating systems. It is shown, that the systems with double massive centers are more unstable than the homogeneous systems and those with one massive center. In general this shows the efficiency of the Ricci curvature method introduced by Gurzadyan and Kocharyan (1987) for the study of N-body systems via relatively simple calculations, i.e. for small N, and hence small computer resources.