On a first integral of the Kepler problem

DOI10.1063/1.532143zbMath0896.70009OpenAlexW2054619378MaRDI QIDQ4370759

Maria Dina Vivarelli

Publication date: 6 January 1998

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

Full work available at URL: https://doi.org/10.1063/1.532143

zbMATH Keywords

quadratic first integralseparation in elliptic coordinatespre-quantization of Kepler manifold

Mathematics Subject Classification ID

Two-body problems (70F05) Applications of dynamical systems (37N99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Cites Work

• The KS-transformation revisited
• The Kepler problem: A unifying view
• The Kepler problem spinor regularization and pre-quantization of the negative-energy manifold
• The KS-transformation in hypercomplex form and the quantization of the negative-energy orbit manifold of the Kepler problem
• Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations

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