Planetary long periodic terms in Mercury's rotation: a two-dimensional adiabatic approach

DOI10.1007/S10569-007-9115-4zbMath1342.70036OpenAlexW2057091174MaRDI QIDQ931226

Sandrine D'Hoedt, Anne Lemaitre

Publication date: 25 June 2008

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

Full work available at URL: https://doi.org/10.1007/s10569-007-9115-4

zbMATH Keywords

rotationadiabatic invariantMercuryplanetary perturbations

Mathematics Subject Classification ID

Hamilton's equations (70H05) Celestial mechanics (70F15) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11)

Related Items (4)

Frozen orbits at high eccentricity and inclination: application to Mercury orbiter ⋮ Steady state obliquity of a rigid body in the spin-orbit resonant problem: application to Mercury ⋮ Quasi-periodic motions in a special class of dynamical equations with dissipative effects: a pair of detection methods ⋮ A secondary resonance in Mercury's rotation

Cites Work

• The \(3:2\) spin-orbit resonant motion of Mercury
• Note on Mercury's rotation: the four equilibria of the Hamiltonian model
• Planetary perturbations on Mercury's libration in longitude
• Rotation of synchronous satellites: application to the Galilean satellites
• The spin-orbit resonant rotation of Mercury: a two degree of freedom Hamiltonian model
• Capture into resonance: An extension of the use of adiabatic invariants
• Coupled rotational motion of Mercury

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