Existence of prograde double-double orbits in the equal-mass four-body problem

DOI10.1515/ans-2018-0009zbMath1435.70030arXiv1710.09960OpenAlexW2962949474MaRDI QIDQ1632070

Wentian Kuang, Duokui Yan

Publication date: 12 December 2018

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.09960

zbMATH Keywords

four-body problemvariational methodgeometric methodtopological constraint

Mathematics Subject Classification ID

Three-body problems (70F07) (n)-body problems (70F10) Collisions in celestial mechanics, regularization (70F16)

Related Items (2)

Geometric properties of minimizers in the planar three-body problem with two equal masses ⋮ The Broucke–Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses

Cites Work

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• Variational methods on periodic and quasi-periodic solutions for the N-body problem
• A remarkable periodic solution of the three-body problem in the case of equal masses
• Action-minimizing orbits in the parallelogram four-body problem with equal masses

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