The three-body problem and equivariant Riemannian geometry

DOI10.1063/1.5000075zbMath1411.70009OpenAlexW2746762927WikidataQ115333105 ScholiaQ115333105MaRDI QIDQ5357563

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Publication date: 11 September 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5000075

Mathematics Subject Classification ID

Three-body problems (70F07) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (3)

Hyperbolic shirts fit a 4-body problem ⋮ The three-body problem as a geodesic billiard map with singularities ⋮ Nonintegrability of the reduced planar three-body problem with generalized force

Cites Work

• Unnamed Item
• No hyperbolic pants for the 4-body problem with strong potential
• The Three-Body Problem and the Shape Sphere
• Realizing all reduced syzygy sequences in the planar three-body problem
• Fitting hyperbolic pants to a three-body problem
• Riemannian geometry
• A remarkable periodic solution of the three-body problem in the case of equal masses

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