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arXiv · 2503.08374

Really perverse periodic solutions of the planar N-body problem

Dominique Bang·Alain Chenciner·Carles Simó
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Abstract

Examples are given of solutions of the planar N-body problem which remain the same for at least two systems of masses with the same sum and same center of mass. The least value of N achieved up to now with this property is 474, a number which had been announced in the first author's thesis.

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Dominique Bang, Alain Chenciner, Carles Simó. 2025-03-11. Really perverse periodic solutions of the planar N-body problem. https://arxiv.org/abs/2503.08374

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