A symplectic mapping for the synchronous spin-orbit problem

DOI10.1007/s10569-012-9464-5zbMath1266.70034OpenAlexW2081933970MaRDI QIDQ1955517

Christoph Lhotka

Publication date: 14 June 2013

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

Full work available at URL: https://doi.org/10.1007/s10569-012-9464-5

zbMATH Keywords

TitanCassini state problemHadjidemetriou mappingregular satellitessynchronous spin-orbit coupling

Mathematics Subject Classification ID

Perturbation methods for rigid body dynamics (70E20) Integrable cases of motion in rigid body dynamics (70E40) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Related Items (3)

Accurate modelling of the low-order secondary resonances in the spin-orbit problem ⋮ Steady state obliquity of a rigid body in the spin-orbit resonant problem: application to Mercury ⋮ Effective stability around the Cassini state in the spin-orbit problem

Uses Software

• Mathematica

Cites Work

• Chirikov diffusion in the asteroidal three-body resonance \((5, - 2, - 2)\)
• Recent progress in the theory and application of symplectic integrators
• The \(3:2\) spin-orbit resonant motion of Mercury
• Measures of basins of attraction in spin-orbit dynamics
• A hyperbolic twist mapping model for the study of asteroid orbits near the 3:1 resonance
• A symplectic mapping approach to the study of the stochasticity in asteroidal resonances
• Extension of Cassini's laws
• Rotation of synchronous satellites: application to the Galilean satellites
• The spin-orbit resonant rotation of Mercury: a two degree of freedom Hamiltonian model
• A symplectic mapping model as a tool to understand the dynamics of 2/1 resonant asteroid motion
• Dynamic expansion points: an extension to Hadjidemetriou's mapping method
• A new integration method of Hamiltonian systems by symplectic maps
• Titan’s obliquity as evidence of a subsurface ocean?
• Resonance rotation of celestial bodies and Cassini's laws
• Explicit symplectic integrator for rotating satellites
• High-order symplectic integrators for perturbed Hamiltonian systems

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