On the regularization of the Kepler problem

DOI10.1007/BF01208375zbMath0496.70023OpenAlexW2036946102MaRDI QIDQ5905248

No author found.

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01208375

zbMATH Keywords

Kepler problem collison states gauge group U(1)Moser's and Kustaanheimo-Stiefel's global regularizations symplectic circle bundle symplectic injection of the phase space into completed space

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Hamilton's equations (70H05) Two-body problems (70F05) Applications of manifolds of mappings to the sciences (58D30) 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) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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