Poisson mechanics for perturbed MIC–Kepler problems at both positive and negative energies

DOI10.1088/1751-8113/45/36/365203zbMath1339.70025OpenAlexW2034027469MaRDI QIDQ3167555

Shogo Matsumoto, Toshihiro Iwai

Publication date: 2 November 2012

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

Full work available at URL: https://doi.org/10.1088/1751-8113/45/36/365203

Mathematics Subject Classification ID

Two-body problems (70F05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

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