Global geometry of planary 3-body motions

Details Global geometry of planary 3-body motions Global geometry of planary 3-body motions

2006-09-28

arxiv.org/abs/math-ph/0609084v1

Physics

Mathematical Physics

16 pages, no figures

Scientific paper

In a recent paper (arXiv:math-ph/0609076) the authors investigated the basic global geometry of congruence moduli curves and shape curves of 3-body motions with vanishing angular momentum. Here the study is extended to the case of planary 3-body motions in general. In particular, the results on the separation of the size and the shape variables, as well as the theorem on the unique parametrization of moduli and shape curves, are established.

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