Global geometry of planary 3-body motions
Mathematical Physics
2007-05-23 v1 Differential Geometry
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0609084,
title = {Global geometry of planary 3-body motions},
author = {Wu-Yi Hsiang and Eldar Straume},
journal= {arXiv preprint arXiv:math-ph/0609084},
year = {2007}
}
Comments
16 pages, no figures