A Hamiltonian for 1/1 rotational secondary resonances, and application to small satellites of Saturn and Jupiter

DOI10.1016/J.CNSNS.2024.108224zbMATH Open1546.70064MaRDI QIDQ6590972

Nelson Jun. Callegari

Publication date: 21 August 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

phase spacespin-orbit resonancelibrationHamiltonian expansionWisdom model

Mathematics Subject Classification ID

Celestial mechanics (70F15) Nonlinear resonances for nonlinear problems in mechanics (70K30) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Cites Work

• Canonical perturbation theories. Degenerate systems and resonance
• On the rotational dynamics of Prometheus and Pandora
• Tidal friction in close-in satellites and exoplanets: the Darwin theory re-visited
• The current orbit of Methone (S/2004 S 1)
• Accurate modelling of the low-order secondary resonances in the spin-orbit problem
• The spin-orbit resonant problem including core-mantle gravitational coupling
• Structure and interpretation of classical mechanics
• Solar System Dynamics
• The orbit of Aegaeon and the 7:6 Mimas-Aegaeon resonance

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