On the key role of a dynamical estimate of the Solar spin and gravitational multipole moments

Details On the key role of a dynamical estimate of the Solar spin and gravitational multipole moments On the key role of a dynamical estimate of the Solar spin and gravitational multipole moments

Dec 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005sf2a.conf...91p&link_type=abstract

SF2A-2005: Semaine de l'Astrophysique Francaise, meeting held in Strasbourg, France, June 27 - July 1, 2005, Edited by F. Casoli

Physics

Scientific paper

We review the question of the solar quadrupole moment (J2) which is at the crossroad of solar physics, astrometry and celestial mechanics. The order of magnitude of J2 is known to be 10-7. Precise estimates, however, strongly depend on the method used: stellar equations combined with a differential rotation model, the Theory of Figures of the Sun, or inversion techniques applied to helioseismology. A variability of J2 with the solar cycle is even considered. Nevertheless, a precise value of J2 is useful to compute dynamical effects like light deflection in the vicinity of the Sun, or in planetary ephemeris. Conversely, a precise dynamical estimate of J2 might be crucial to constrain solar density and rotation models. The future space missions GAIA and BepiColombo should lead to a dynamical estimate of J2, decorrelated from the Post-Newtonian parameter β. A dynamical relativistic Post-Newtonian modeling of planetary motions, including not only the solar quadrupole moment but also its spin, might lead to interesting constraints on those two key solar parameters, via analysis of spin-orbit couplings and of the stability of the Solar System modelled.

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