Planetary perturbations on Mercury’s libration in longitude View Full Text


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Article Info

DATE

2008-05

AUTHORS

Julien Dufey, Anne Lemaître, Nicolas Rambaux

ABSTRACT

Two space missions dedicated to Mercury (MESSENGER and BepiColombo) aim at understanding its rotation and confirming the existence of a liquid core. This double challenge requires much more accurate models for the spin-orbit resonant rotation of Mercury. The purpose of this paper is to introduce planetary perturbations on Mercury’s rotation using an analytical method and to analyse the influence of the perturbations on the libration in longitude. Applying a perturbation theory based on the Lie triangle, we were able to re-introduce short periodic terms into the averaged Hamiltonian and to compute the evolution of the rotational variables. The perturbations on Mercury’s forced libration in longitude mainly come from the orbital motion of Mercury (with an amplitude around 41 arcsec that depends on the momenta of inertia). It is completed by various effects from Jupiter (11.86 and 5.93 year-periods), Venus (with a 5.66 year-period), Saturn (14.73 year-period), and the Earth (6.58 year-period). The amplitudes of the oscillations due to Jupiter and Venus are approximately 33% and 10% of those from the orbital motion of Mercury and the amplitudes of the oscillations due to Saturn and the Earth are approximately 3% and 2%. We compare the analytical results with the solution obtained from the spin-orbit numerical model SONYR. More... »

PAGES

141-157

References to SciGraph publications

  • 1969-03. Canonical transformations depending on a small parameter in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1986. Algebraic Manipulations on Computers for Lunar and Planetary Theories in RELATIVITY IN CELESTIAL MECHANICS AND ASTROMETRY
  • 1965-06. A Radar Determination of the Rotation of the Planet Mercury in NATURE
  • 2006-05. The 3:2 spin-orbit resonant motion of Mercury in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1970-03. On a perturbation theory using Lie transforms in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1965-11. Rotational Period of the Planet Mercury in NATURE
  • 2006-11. Note on Mercury’s rotation: the four equilibria of the Hamiltonian model in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 2004-04. The Spin-Orbit Resonant Rotation of Mercury: A Two Degree of Freedom Hamiltonian Model in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
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    URI

    http://scigraph.springernature.com/pub.10.1007/s10569-008-9143-8

    DOI

    http://dx.doi.org/10.1007/s10569-008-9143-8

    DIMENSIONS

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