2006/09/28 by Wu-Yi Hsiang, Eldar Straume, Hsiang, Wu-Yi +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Spacecraft Dynamics and Control #Structural Analysis and Optimization #math-ph #math.DG #math.MP #msc:53C21 #msc:70B99 #msc:70F07
paper · pdf · doi:10.48550/arxiv.math-ph/0609084
16 pages, no figures
arxiv created 2006/09/28 · arxiv updated 2009/12/01
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.