平面三体运动的整体几何
Global geometry of planary 3-body motions
摘要:
在最近的一篇论文(arXiv:math-ph/0609076)中,作者研究了具有零角动量的三体运动的同余模曲线和形状曲线的基本全局几何。在这里,研究的情况下,平面三体运动一般。特别地,建立了尺寸和形状变量分离的结果,以及模量和形状曲线的唯一参数化定理。
英文摘要:
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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