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arXiv · 2212.09718

A proof of Saari's conjecture

Pieter Tibboel
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Abstract

We prove Saari's conjecture, which states that for any solution to the classical $n$-body problem that has constant (polar) moment of inertia has to behave as a rotating rigid body. Additionally, we remark how Saari's conjecture can be generalised well beyond the confines of the classical $n$-body problem.

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Pieter Tibboel. 2022-12-19. A proof of Saari's conjecture. https://arxiv.org/abs/2212.09718

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