A proof of Saari's conjecture
Classical Analysis and ODEs
2024-03-25 v5 Mathematical Physics
math.MP
Abstract
We prove Saari's conjecture, which states that for any solution to the classical -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 -body problem.
Keywords
Cite
@article{arxiv.2212.09718,
title = {A proof of Saari's conjecture},
author = {Pieter Tibboel},
journal= {arXiv preprint arXiv:2212.09718},
year = {2024}
}
Comments
The main theorem is incorrect and has an error in the proof