Shape space figure-8 solution of three body problem with two equal masses

DOI10.1088/1361-6544/AA6AB0zbMath1375.37176arXiv1507.02892OpenAlexW2962892499MaRDI QIDQ5348106

Guowei Yu

Publication date: 14 August 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02892

zbMATH Keywords

three-body problemperiodic solutionshape spacesyzygy sequence

Mathematics Subject Classification ID

Three-body problems (70F07) Variational methods for problems in mechanics (70G75) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (6)

Geometric properties of minimizers in the planar three-body problem with two equal masses ⋮ Application of Morse index in weak forceN-body problem ⋮ Exclusion of quadruple collisions in minimizers of the planar equal-mass N-body problem ⋮ Connecting planar linear chains in the spatial \(N\)-body problem ⋮ Spatial double choreographies of the Newtonian \(2n\)-body problem ⋮ The Broucke–Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses

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