### Abstract

Original language | English |
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Journal | Celestial Mechanics and Dynamical Astronomy |

Publication status | Unpublished - 2010 |

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*Celestial Mechanics and Dynamical Astronomy*.

**A secondary resonance in Mercury's rotation.** / D'Hoedt, Sandrine; Noyelles, Benoît; Dufey, Julien; Lemaître, Anne.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A secondary resonance in Mercury's rotation

AU - D'Hoedt, Sandrine

AU - Noyelles, Benoît

AU - Dufey, Julien

AU - Lemaître, Anne

PY - 2010

Y1 - 2010

N2 - 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 in 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.

AB - 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 in 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.

M3 - Article

JO - Celest. Mech & Dyn. Astron.

JF - Celest. Mech & Dyn. Astron.

SN - 0923-2958

ER -