A family of integrable perturbed Kepler systems

DOI10.1134/S1061920819030117zbMath1467.70003arXiv1901.04048MaRDI QIDQ2334643

E. Wawreniuk, Anatol Odzijewicz, Aneta Sliżewska

Publication date: 7 November 2019

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

Full work available at URL: https://arxiv.org/abs/1901.04048

zbMATH Keywords

Hamiltonianharmonic oscillatorsJacobi elliptic functionsKepler systems

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Perturbation methods for rigid body dynamics (70E20)

Related Items (1)

Integrable Hamiltonian systems on the symplectic realizations of \(\textbf{e}(3)^\ast\)

Cites Work

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• The geometry of the SU(2) Kepler problem
• Reduction of symplectic manifolds with symmetry
• Poisson structures and their normal forms
• Hierarchy of integrable Hamiltonians describing the nonlinearn-wave interaction
• Classical and quantum Kummer shape algebras
• Coherent states map for MIC–Kepler system
• Perturbation theory of Kepler motion based on spinor regularization.
• Twistor Algebra
• On the regularization of the Kepler problem

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