Alternative Reduction by Stages of Keplerian Systems. Positive, Negative, and Zero Energy

DOI10.1137/19M1264060zbMath1473.70027OpenAlexW3034356521MaRDI QIDQ3298342

Francisco Crespo, Sebastián Ferrer

Publication date: 14 July 2020

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1264060

zbMATH Keywords

harmonic oscillatorreduction by stagesKepler system

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Collisions in celestial mechanics, regularization (70F16)

Related Items (2)

Reduced 4D oscillators and orbital elements in Keplerian systems: Cushman-Deprit coordinates ⋮ On Moser’s regularization of the Kepler system: Positive and negative energies

Cites Work

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• Hamiltonian reduction by stages
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• The Kepler system as a reduced 4D harmonic oscillator
• Singular reduction of axially symmetric perturbations of the isotropic harmonic oscillator
• Global Aspects of Classical Integrable Systems
• 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

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