A group theoretical approach to a certain class of perturbations of the Kepler problem

DOI10.1007/BF00280223zbMath0604.70015OpenAlexW1997463624MaRDI QIDQ1083234

B. George

Publication date: 1985

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00280223

zbMATH Keywords

regularizationclass of perturbationsclassical Kepler Hamiltoniann- dimensional Kepler problem

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Two-body problems (70F05) Celestial mechanics (70F15)

Related Items

Closed-form normalizations of perturbed two-body problems., Dynamical and symmetry groups of the \(SU (2)\) Kepler problem, Reduction and regularization of the Kepler problem, Normal forms for perturbed Keplerian systems., The geometry of the SU(2) Kepler problem, The Kepler system as a reduced 4D harmonic oscillator

Cites Work

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• Reduction of the semisimple \(1:1\) resonance
• On the three-dimensional lunar problem and other perturbation problems of the Kepler problem
• Conformal regularization of the Kepler problem
• On resonant non linearly coupled oscillators with two equal frequencies
• Reduction of symplectic manifolds with symmetry
• On the Stability of Hill's Solutions of the Plane Restricted Three Body Problem
• Das Oszillator-Kepler Problem und die Lie-Algebra.
• On some new long periodic solutions of the plane restricted three body problem
• Perturbation theory of Kepler motion based on spinor regularization.
• Regularization of kepler's problem and the averaging method on a manifold
• On the regularization of the Kepler problem