A note on the geometry of the two-body problem on \(S^2\)

DOI10.1016/j.geomphys.2024.105111arXiv2310.02659OpenAlexW4391134255MaRDI QIDQ6123201

Nataliya A. Balabanova, Alessandro Arsie

Publication date: 4 March 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.02659

zbMATH Keywords

compactificationdynamical systemsHamiltonian systemscontact structuretopologyisoenergy surface

Mathematics Subject Classification ID

Differential geometry (53-XX)

Cites Work

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• Topology and mechanics. I
• Attracting and repelling 2-body problems on a family of surfaces of constant curvature
• Algebra and Geometry Through Hamiltonian Systems
• Contact geometry of the restricted three-body problem
• Relative equilibria of the four-body problem
• Nonintegrability of the two-body problem in constant curvature spaces
• Regularization of kepler's problem and the averaging method on a manifold
• Collision trajectories and regularisation of two-body problem on \(S^2\)

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