Secular dynamics for curved two-body problems

DOI10.1007/S10884-021-10023-3arXiv2006.16903OpenAlexW3174320034WikidataQ115383121 ScholiaQ115383121MaRDI QIDQ6095774

Connor Jackman

Publication date: 8 September 2023

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

Full work available at URL: https://arxiv.org/abs/2006.16903

zbMATH Keywords

integrable systemssymplectic reductionconstant curvature spaces

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Two-body problems (70F05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamical systems in classical and celestial mechanics (37N05)

Cites Work

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• There is a projective dynamics
• The \(n\)-body problem in spaces of constant curvature. II: Singularities
• The restricted two-body problem in constant curvature spaces
• Dynamics in spaces of constant curvature.
• Invariant tori in non-degenerate nearly integrable Hamiltonian systems
• Two-body problem on a sphere. Reduction, stochasticity, periodic orbits
• Reduction and relative equilibria for the two-body problem on spaces of constant curvature
• Quasiperiodic motions in the planar three-body problem
• On action-angle coordinates and the Poincaré coordinates
• The spatial problem of 2 bodies on a sphere. Reduction and stochasticity
• Dynamics and Regularization of the Kepler Problem on Surfaces of Constant Curvature
• Nonintegrability of the two-body problem in constant curvature spaces

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