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arXiv · 2209.03114

A new analysis of the three--body problem

Jerome Daquin·Sara Di Ruzza·Gabriella Pinzari
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Abstract

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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Jerome Daquin, Sara Di Ruzza, Gabriella Pinzari. 2022-09-07. A new analysis of the three--body problem. https://arxiv.org/abs/2209.03114

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