Analytical Development of Rigid Mercury Nutation Series

Details Analytical Development of Rigid Mercury Nutation Series Analytical Development of Rigid Mercury Nutation Series

Jul 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cemda..86..223c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 86, Issue 3, p. 223-236 (2003).

Astronomy and Astrophysics

Astronomy

4

Scientific paper

In this paper, series of a rigid model of Mercury nutations are computed. The method used is based on the calculation of the forces produced by the Sun on Mercury as considered as a rigid body. In order to take into account the indirect effects coming from the orbit perturbations of Mercury, we used the ephemerides VSOP87 (Bretagnon and Francou, 1988). Due to non-negligible difference between the principal moment of inertia A and B in the case of Mercury, we compute also terms due to the triaxiality in addition to the general terms coming from J2. With a truncation level of 10-3 mas (milliarcsecond), related to the present-day precision of the Mercury precession constant, 173 terms in longitude (Δψ sin ɛ) and 166 terms in obliquity (Δɛ) are computed. The value of the dynamical flattening used is HD = (C - A)/C = 2.3 × 10-4 (Anderson, 1987).

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