Laplace–Runge–Lenz symmetry in general rotationally symmetric systems

DOI10.1063/1.3520521zbMath1314.70019arXiv1005.1817OpenAlexW1971272577MaRDI QIDQ5255492

Uri Ben-Ya'Acov

Publication date: 15 June 2015

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

Full work available at URL: https://arxiv.org/abs/1005.1817

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Equations of motion in general relativity and gravitational theory (83C10) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

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Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations ⋮ Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ Tensor-product representation of Laplace-Runge-Lenz vector for two-body Kepler systems ⋮ Quasi-bi-Hamiltonian structures and superintegrability: study of a Kepler-related family of systems endowed with generalized Runge-Lenz integrals of motion ⋮ Laplace-Runge-Lenz vector for arbitrary spin ⋮ Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems ⋮ Center-of-mass and internal symmetries in classical relativistic systems

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