The Broucke–Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses

DOI10.1088/1361-6544/ab360dzbMath1455.37069arXiv1607.00580OpenAlexW2982107006MaRDI QIDQ5240853

Duokui Yan, Tiancheng Ouyang, Zhifu Xie, Wentian Kuang

Publication date: 29 October 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00580

zbMATH Keywords

three-body problemvariational methodSchubart orbitBroucke-Hénon orbit

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (4)

Geometric properties of minimizers in the planar three-body problem with two equal masses ⋮ Determination of the doubly symmetric periodic orbits in the restricted three-body problem and Hill's lunar problem ⋮ Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem ⋮ A new collision-based periodic orbit in the three-dimensional eight-body problem

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