Corrections and new developments in rigid-Earth nutation theory. II. Influence of second-order geopotential and direct planetary effect.

Astronomy and Astrophysics – Astrophysics

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Reference Systems, Earth, Celestial Mechanics

Scientific paper

In a recent paper, Souchay & Kinoshita (1996A&A...312.1017S) re-calculated the coefficients of the nutation for a rigid-Earth model due to the main luni-solar potential (coming from J_2_), with respect to the values given by Kinoshita & Souchay (1990CeMDA..48..187K), by taking into account an updated value of the general precession in longitude. In the following we complete this study by computing the coefficients coming from the lunar influence on the second-order geopotential (J_3_, C_2,2_, S_2,2_, J_4_) and those coming from the direct torque exerted by the planets. We notice some corrections to be done with respect to the tables of Kinoshita & Souchay(1990CeMDA..48..187K), and we show that the agreement with computations done by Hartmann et al. (1995, submitted) for the J_3_ part and Williams (1995AJ....110.1420W) for the direct planetary effect is remarkable, although the way of calculation is quite different.

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