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Astron. Astrophys. 318, 639-652 (1997)

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Corrections and new developments in rigid-Earth nutation theory

II. Influence of second-order geopotential and direct planetary effect

J. Souchay 1 and H. Kinoshita 2

1 Observatoire de Paris/DANOF, URA 1125 du CNRS, 61 Avenue de l'Observatoire, Paris, F-75014, France (Souchay@obspm.fr)
2 Tokyo National Astronomical Observatory, Mitaka Shi, Tokyo 181, Japan (Kinoshita@c1.mtk.nao.ac.jp)

Received 15 March 1996 / Accepted 2 July 1996


In a recent paper, Souchay & Kinoshita (1996) re-calculated the coefficients of the nutation for a rigid-Earth model due to the main luni-solar potential (coming from [FORMULA]), with respect to the values given by Kinoshita & Souchay (1990), 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 ([FORMULA], [FORMULA], [FORMULA], [FORMULA]) 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(1990), and we show that the agreement with computations done by Hartmann et al. (1995) for the [FORMULA] part and Williams (1995) for the direct planetary effect is remarkable, although the way of calculation is quite different.

Key words: reference systems – Earth – celestial mechanics

Send offprint requests to: J. Souchay

© European Southern Observatory (ESO) 1997

Online publication: July 8, 1998