Perturbation theory and canonical coordinates in celestial mechanics

DOI10.1142/S0129055X24300061MaRDI QIDQ6584158

Gabriella Pinzari

Publication date: 6 August 2024

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

KAM theory\(N\)-body problemcanonical coordinates

Mathematics Subject Classification ID

Celestial mechanics (70F15) Nearly integrable Hamiltonian systems, KAM theory (70H08) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Deprit's reduction of the nodes revisited
• Planetary Birkhoff normal forms
• Properly-degenerate KAM theory (following V. I. Arnold)
• The planetary \(N\)-body problem: symplectic foliation, reductions and invariant tori
• Nekhoroshev estimates for quasi-convex Hamiltonian systems
• About a transformation of the differential equation concerning dynamics
• Aspects of the planetary Birkhoff normal form
• Elimination of the nodes in problems ofn bodies
• On the co-existence of maximal and whiskered tori in the planetary three-body problem
• Démonstration du ‘théorème d'Arnold’ sur la stabilité du système planétaire (d'après Herman)
• Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• The stellar three-body problem
• Quantitative \textsc{kam} theory, with an application to the three-body problem

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