论文标题

对三体问题的新分析

A new analysis of the three--body problem

论文作者

Daquin, Jerome, Di Ruzza, Sara, Pinzari, Gabriella

论文摘要

在最近的论文〜[18],〜[5]中,已经证明了围绕圆锥体提供周期性振荡的动作的存在,并且已经证明了拓扑马蹄的发作。使用相邻的集成系统获得了这样的结果,即所谓的两中心(或{\ it euler})问题,以及在〜[16],〜[17]中提出的合适的规范设置。在这里,我们回顾了这样的结果。

In the recent papers~[18],~[5], respectively, the existence of motions where the perihelions afford periodic oscillations about certain equilibria and the onset of a topological horseshoe have been proved. Such results have been obtained using, as neighbouring integrable system, the so--called two--centre (or {\it Euler}) problem and a suitable canonical setting proposed in~[16],~[17]. Here we review such results.

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