Partial reduction and Delaunay/Deprit variables

DOI10.1007/S10569-014-9584-1zbMath1308.70014arXiv1401.6068OpenAlexW3101779726MaRDI QIDQ2338966

Lei Zhao

Publication date: 27 March 2015

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6068

zbMATH Keywords

\(N\)-body problemDelaunay coordinatespartial reductiondeprit coordinateselimination of the nodessymplectic cross-section

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Celestial mechanics (70F15) (n)-body problems (70F10) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (1)

Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem

Cites Work

• Unnamed Item
• Deprit's reduction of the nodes revisited
• On ``Arnold's theorem on the stability of the solar system
• The planetary \(N\)-body problem: symplectic foliation, reductions and invariant tori
• Convexity properties of the moment mapping
• Partial reduction in the \(N\)-body planetary problem using the angular momentum integral
• Elimination of the nodes in problems ofn bodies

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