Evolution of the moment of inertia in the many-body problem

Physics

Scientific paper

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Branching (Physics), Celestial Mechanics, Many Body Problem, Moments Of Inertia, Anomalies, Evolution (Development), Inequalities, Theorem Proving

Scientific paper

The bifurcation curves between the attainable domain and the forbidden domain for the 'mean quadratic distance' rho in the many-body problem, are obtained. The properties of the bifurcation curves are analyzed, and the results are discussed. In the case of negative energy systems, rho cannot be smaller than the generalized semi-axis for a duration larger than T/2, where T is the period, i.e., T = 2Pi sq rt a cubed/mu, the gravitational constant.

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