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arXiv · 2106.02071

Braids of the N-body problem II: carousel solutions by cabling central configurations

Marine Fontaine·Carlos García-Azpeitia
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Abstract

We prove the existence of relative periodic solutions of the planar $N=\sum_{j=1}^n k_j$-body problem starting with $n$ bodies moving close to a non-degenerate central configuration and replacing each of them with clusters of $k_j$ bodies that move close to a small central configuration. We name these solutions carousel solutions. The proof relies on blow-up techniques for variational methods used in our previous work.

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Marine Fontaine, Carlos García-Azpeitia. 2021-06-03. Braids of the N-body problem II: carousel solutions by cabling central configurations. https://arxiv.org/abs/2106.02071

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