Oscillating about coplanarity in the 4 body problem

DOI10.1007/s00222-019-00879-0zbMath1435.70031arXiv1811.00608OpenAlexW2898813119WikidataQ128125226 ScholiaQ128125226MaRDI QIDQ2322815

Richard Montgomery

Publication date: 5 September 2019

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.00608

zbMATH Keywords

reductionshape space4-body problemdegeneration instants

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (2)

Geometric properties of minimizers in the planar three-body problem with two equal masses ⋮ On the existence of generalised syzygies in the planar three-body problem

Cites Work

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• Braids in classical dynamics
• Realizing all reduced syzygy sequences in the planar three-body problem
• The zero angular momentum, three-body problem: All but one solution has syzygies
• Regularity and variationality of solutions to Hamilton-Jacobi equations. Part I: Regularity
• A remarkable periodic solution of the three-body problem in the case of equal masses

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