Corrections and new developments in rigid earth nutation theory. I. Lunisolar influence including indirect planetary effects.

Details Corrections and new developments in rigid earth nutation theory. I. Lunisolar influence including indirect planetary effects. Corrections and new developments in rigid earth nutation theory. I. Lunisolar influence including indirect planetary effects.

Aug 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996a%26a...312.1017s&link_type=abstract

Astronomy and Astrophysics, v.312, p.1017-1030

Astronomy and Astrophysics

Astrophysics

32

Earth, Celestial Mechanics, Reference Systems

Scientific paper

The tables of nutation as given by Kinoshita & Souchay (1990) have been constructed with use of the value of the general precession in longitude as adopted by the IAU1976 (Lieske et al. 1977). The recent observations agree to give a correction of about 0.3"/cy. to this last value. Because of the interaction between the precession and the nutation for a rigid Earth model, it became necessary to use an updated value of p_A_, that is to say: p_A_=5028.7700"/cy and to recalculate the largest coefficients of nutation influenced by this change. This is one of the aim of this paper. Moreover, we study a new contribution to the nutation not included in the preceding studies, which are due to the periodic oscillations of the ecliptic. We also calculate the planetary tilt-effect on the nutation pointed out by Williams (1994), which was not included in Kinoshita & Souchay (1990). At last all the coefficients of the nutation for a rigid-Earth model have been recalculated, with an improved threshold of the potential (5x10^-10^). We give final tables showing all the coefficients subject to some change with respect to Kinoshita & Souchay (1990), for the lunisolar part, including the indirect planetary effects. Only the direct action of the planets on the nutation and the influence of the J_3_ geopotential is not studied here. They will be the subject of a next paper. At last a new value of the dynamical ellipticity of the Earth is calculated in the following: H_D_=0.0032737548.

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