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Astron. Astrophys. 345, 282-297 (1999)


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Precise modeling of the precession-nutation of Mars

S. Bouquillon and J. Souchay

Observatoire de Paris/DANOF, URA 1125 du CNRS, 61 Avenue de l'Observatoire, F-75014 Paris, France (etudiant@obspm.fr)

Received 16 October 1998 / Accepted 8 January 1999

Abstract

This paper aims to present the theoretical study of the precession and of the nutation of the planet Mars considered as a rigid body, in a rigorous way, by using canonical equations related to Hamiltonian theory, and by taking into account all the coefficients of nutation up to 0.1 mas. The equations are solved by taking into account the leading influence of the Sun, but also those due to Jupiter, to the Earth, and to the Martian satellites Phobos and Deimos. Opplolzer terms which make the separation from the axis of angular momentum to the figure axis as well as to the axis of rotation, are also determined, as well as semi-diurnal terms coming from the triaxial asymetry of the planet. Calculations and important remarks related to the accuracy of the determination of the variation of the obliquity at a long periodic time scale complete the results above.

Key words: celestial mechanics, stellar dynamics – planets and satellites: individual: Mars


© European Southern Observatory (ESO) 1999

Online publication: April 12, 1999

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