Symmetry preserving deformations of the Kepler problem

DOI10.1016/0034-4877(88)90017-1zbMath0683.70016OpenAlexW2058633241MaRDI QIDQ1825054

Larry M. Bates

Publication date: 1988

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(88)90017-1

zbMATH Keywords

Kepler problemLenz vectorDelaunay variablesfifteen-dimensional symmetry groupone-parameter family of differential equations

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (3)

Ligon–Schaaf regularization map revisited ⋮ Symplectic reduction for semidirect products and central extensions ⋮ Geometric quantization of a perturbed Kepler problem

Cites Work

• Conformal regularization of the Kepler problem
• Conjugacy classes in linear groups
• On the global symmetry of the classical Kepler problem
• On six-dimensional canonical realizations of the so(4,2) algebra
• The de Sitter groupL 4,1 and the bound states of hydrogen atom
• Regularization of kepler's problem and the averaging method on a manifold
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