Binary trees, symplectic matrices and the Jacobi coordinates of celestial mechanics

DOI10.1007/BF00375224zbMath0742.70009MaRDI QIDQ1814297

Chjan C. Lim

Publication date: 25 June 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

binary treecelestial mechanicscanonical transformationssymplectic propertyJacobi coordinatesJacobi transformation

Mathematics Subject Classification ID

Celestial mechanics (70F15) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (7)

Nonsingular sign patterns and the orthogonal group ⋮ A combinatorial perturbation method and Arnold's whiskered tori in vortex dynamics ⋮ Scale anomaly as the origin of time ⋮ Global Phase Diagrams of Three Point Vortices ⋮ Full sign-invertibility and symplectic matrices ⋮ Explicit nondegeneracy conditions of KAM tori for the planar N-point vortex systems ⋮ General Jacobi coordinates and Herman resonance for some nonheliocentric celestial \(N\)-body problems

Cites Work

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• Existence of KAM tori in the phase-space of lattice vortex systems
• Singularities and collisions of Newtonian gravitational systems
• On singular Hamiltonians: the existence of quasi-periodic solutions and nonlinear stability
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

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