Alternative angle-based approach to the \(\mathcal{KS}\)-map. An interpretation through symmetry and reduction

DOI10.3934/jgm.2018013zbMath1411.70020arXiv1711.08530OpenAlexW2963991355MaRDI QIDQ1734866

Francisco Crespo, Sebastián Ferrer

Publication date: 27 March 2019

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08530

zbMATH Keywords

oscillatorregularizationLevi-CivitaKepler system\(\mathcal{KS}\) map

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Celestial mechanics (70F15) Collisions in celestial mechanics, regularization (70F16)

Related Items (6)

Reduced 4D oscillators and orbital elements in Keplerian systems: Cushman-Deprit coordinates ⋮ Quaternion methods and models of regular celestial mechanics and astrodynamics ⋮ Perturbed \((2n - 1)\)-dimensional Kepler problem and the nilpotent adjoint orbits of \(\operatorname{U}(n, n)\) ⋮ Alternative Reduction by Stages of Keplerian Systems. Positive, Negative, and Zero Energy ⋮ Reduction and regularization of the Kepler problem ⋮ On Moser’s regularization of the Kepler system: Positive and negative energies

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