Perturbed \((2n - 1)\)-dimensional Kepler problem and the nilpotent adjoint orbits of \(\operatorname{U}(n, n)\)
DOI10.3842/SIGMA.2020.087zbMath1461.53062arXiv1806.05912MaRDI QIDQ2217964
Publication date: 12 January 2021
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.05912
symplectic geometrynonlinear differential equationsKepler problemintegrable Hamiltonian systemscelestial mechanicsPoisson geometryKustaanheimo-Stiefel transformation
Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Canonical transformations in symplectic and contact geometry (53D22)
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