Evolution of the moment of inertia in the many-body problem in the field of general attraction

For the many-body problem in the field of general attraction, the evolution of the moment of inertia is studied, we obtain the bifurcation curves between the attainable domain and the forbidden domain in the plane (,t), where is the mean quadratic distance (proportional to the square root of the moment of inertia). That is an extension of the conclusion in [1]. Moreover, the dependence of the bifurcation curves on the generalized potential is obtained.This project is supported by the National Science Foundation of China.