A proof of Saari's conjecture

2022/12/19 by Pieter Tibboel, Tibboel, Pieter
Engineering · Physics and Astronomy · #Astro and Planetary Science #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear physics research studies #Spacecraft Dynamics and Control

paper · pdf · doi:10.48550/arxiv.2212.09718

openalex publication_date 2022/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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