Fradkin-Bacry-Ruegg-Souriau perihelion vector for Gorringe-Leach equations

DOI10.1007/s10569-009-9244-zzbMath1223.70016OpenAlexW1973159972MaRDI QIDQ642340

Yves Grandati, Alain Bérard, Hervé Mohrbach

Publication date: 26 October 2011

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-009-9244-z

zbMATH Keywords

conserved quantitiesclassical mechanicsLaplace-Runge-Lenz vectorArnold-Vassiliev dualitydynamical symmetriesvelocity dependent equations

Mathematics Subject Classification ID

Two-body problems (70F05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Cites Work

• Unnamed Item
• Duality properties of Gorringe-Leach equations
• The Kepler problem. Group theoretical aspects, regularization and quantization, with application to the study of perturbations (incl. CD-ROM)
• Dynamical groups and spherical potentials in classical mechanics
• Complex Representation of Planar Motions and Conserved Quantities of the Kepler and Hooke Problems
• A generalisation of the Runge-Lenz constant of classical motion in a central potential
• Generalisations of the LaplaceRungeLenz Vector

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