Chaotic dynamics for the two-body problem on a sphere.

Authors

Sergey Bolotin

Published in

Chaos (Woodbury, N.Y.). Volume 35. Issue 8. Aug 01, 2025.

Abstract

We prove the existence of chaotic trajectories for the two body problem on a sphere. The trajectories we construct encounter near collisions and are similar to the second species solutions of Poincaré of the classical three body problem. The construction uses a general result on Lagrangian systems with Newtonian singularities of the potential, which is based on the method of an anti-integrable limit of Serge Aubry.

PMID:
40854081
Bibliographic data and abstract were imported from PubMed on 26 Aug 2025.

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