Hamiltonian Dynamics for the Kepler Problem in a Deformed Phase Space

DOI10.1007/978-3-030-34072-8_4zbMath1461.70019arXiv2109.02430OpenAlexW2989955023MaRDI QIDQ3294701

M. J. Landalidji, Mahouton Norbert Hounkonnou

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.02430

zbMATH Keywords

Hamiltonian dynamicsKepler problemdeformed phase spaceLaplace-Runge-Lenz vectorquasi-bi-Hamiltonian structure

Mathematics Subject Classification ID

Two-body problems (70F05) Deformation quantization, star products (53D55) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (2)

Hamiltonian Dynamics of a spaceship in Alcubierre and G\"odel metrics: Recursion operators and underlying master symmetries ⋮ Noncommutative Kepler dynamics: symmetry groups and bi-Hamiltonian structures

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