On bi-Hamiltonian formulation of the perturbed Kepler problem

DOI10.1088/1751-8113/48/17/175206zbMath1318.37018arXiv1504.02211OpenAlexW3101188946MaRDI QIDQ5250268

Yu. A. Grigor'ev, Andreĭ Vladimirovich Tsyganov

Publication date: 19 May 2015

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

Full work available at URL: https://arxiv.org/abs/1504.02211

zbMATH Keywords

action-angle variablesKepler problembi-Hamiltonian structures

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Two-body problems (70F05) Dynamical systems in classical and celestial mechanics (37N05) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

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