A secondary resonance in Mercury's rotation - Archive ouverte HAL
Article Dans Une Revue Celestial Mechanics and Dynamical Astronomy Année : 2010

A secondary resonance in Mercury's rotation

Résumé

The resonant rotation of Mercury can be modelised by a kernel model on which we can add perturbations. Our kernel model is a two-degree of freedom one written in Hamiltonian formalism. For this kernel, we consider that Mercury is solid and rotates on a Keplerian orbit. By introducing the perturbations due to the other planets of the Solar System, it appears that, in a particular case, our slow degree of freedom may enter into a 1:1 resonance with the Great Inequality of Jupiter and Saturn. Actually, as the moments of inertia of Mercury are still poorly known, this phenomenon cannot be excluded.
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Dates et versions

hal-00552505 , version 1 (06-01-2011)

Identifiants

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Sandrine d'Hoedt, Benoît Noyelles, Julien Dufey, Anne Lemaître. A secondary resonance in Mercury's rotation. Celestial Mechanics and Dynamical Astronomy, 2010, 107 (1-2), pp.93-100. ⟨10.1007/s10569-010-9262-x⟩. ⟨hal-00552505⟩
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