Reduction and regularization of the Kepler problem
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Publication:2049220
DOI10.1007/s10569-021-10029-5zbMath1472.53093OpenAlexW3178372200MaRDI QIDQ2049220
Publication date: 24 August 2021
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10569-021-10029-5
Hamilton's equations (70H05) Momentum maps; symplectic reduction (53D20) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Cites Work
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- Quaternions and the perturbed Kepler problem
- The Hamiltonian Hopf bifurcation
- A group theoretical approach to a certain class of perturbations of the Kepler problem
- Constrained normalization of Hamiltonian systems and perturbed Keplerian motion
- On the global symmetry of the classical Kepler problem
- Generalized Hopf fibration and geometric \(\mathrm{SO}(3)\) reduction of the \(4\mathrm{DOF}\) harmonic oscillator
- Alternative angle-based approach to the \(\mathcal{KS}\)-map. An interpretation through symmetry and reduction
- The Kepler problem. Group theoretical aspects, regularization and quantization, with application to the study of perturbations (incl. CD-ROM)
- Kustaanheimo-Stiefel transformation with an arbitrary defining vector
- Linearization: Laplace vs. Stiefel
- The Kepler system as a reduced 4D harmonic oscillator
- A characterization of the Ligon-Schaaf regularization map
- The KS-transformation in hypercomplex form
- 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
- The main problem of artificial satellite theory for small and moderate eccentricities
- Generalized Hamiltonian Dynamics
- On the regularization of the Kepler problem
- On the regularization of the Kepler problem