The Kepler problem and the Laplace-Runge-Lenz vector on spaces of constant curvature and arbitrary signature
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Publication:1011794
zbMath1163.70004MaRDI QIDQ1011794
Manuel F. Rañada, Mariano Santander, José F. Cariñena
Publication date: 14 April 2009
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Two-body problems (70F05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)
Related Items (7)
Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ Quasi-bi-Hamiltonian structures and superintegrability: study of a Kepler-related family of systems endowed with generalized Runge-Lenz integrals of motion ⋮ Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability ⋮ Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems ⋮ The spatial problem of 2 bodies on a sphere. Reduction and stochasticity ⋮ Relative equilibria in the 3-dimensional curved n-body problem ⋮ Curvature as an Integrable Deformation
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