Existence and differential geometric properties of continuous families of periodic three-body motions with non-uniform mass distributions

DOI10.1016/J.JDE.2012.03.005zbMath1320.70008OpenAlexW2086567036MaRDI QIDQ424425

Mahdi Khajeh Salehani

Publication date: 1 June 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.03.005

zbMATH Keywords

equivariant differential geometryanalytic continuation methoddouble Kepler problemvanishing angular momentum

Mathematics Subject Classification ID

Three-body problems (70F07) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Cites Work

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• A geometric study of many-body systems
• Global geometry of 3-body motions with vanishing angular momentum. I
• On the geometry and behavior of \(n\)-body motions
• Kinematic geometry of triangles and the study of the three-body problem
• Equivariant Geometry and Kervaire Spheres
• Synchronized similar triangles for three-body orbits with zero angular momentum
• A remarkable periodic solution of the three-body problem in the case of equal masses

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