, Volume 21, Issue 1, pp 37-41

Central configurations and hyperbolic-elliptic motion in the three-body problem

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Abstract

A refined classification of motion for the planar three-body problem with zero total energy is presented. In addition, the structure and size of the sets of initial conditions are obtained. Limited results for the spatial problem are also given.

Proceedings of the Sixth Conference on Mathematical Methods in Celestial Mechanics held at Oberwolfach (West Germany) from 14 to 19 August, 1978.
Supported in part by the Natural Science Fund and the University Research Council of Vanderbilt University.