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

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7. Conclusion

In the present paper we have studied small contributions to the nutation for a rigid Earth model. One part concerns the influence of the coeffficients of the geopotential others than [FORMULA]. The other part is the direct action of the planets on the nutation. Our calculations are refined with respect to previous ones done by Kinoshita & Souchay (1990) mainly because of the change of the level of truncation of the series (0.5 µas instead of 5 µas), but also because we keep all the terms in the Fourier series of intermediate calculations with a relative [FORMULA] absolute value instead of [FORMULA] in (Kinoshita & Souchay 1990). A few errors found in this last paper are corrected.

Table 1 gives all the coefficients of nutation due to [FORMULA], and Table 2 those due to the triaxiality of the Earth, whereas Tables 3 to 6 show the coefficients due to the direct influence of the planets. Moreover in end of Sect. 3, we have shown the three biggest components, both in [FORMULA] and [FORMULA], coming from the [FORMULA] influence.

Comparisons of our results with those for the coefficients of the nutation due to the [FORMULA] and [FORMULA] geopotential as calculated by Hartmann et al. (1995) and with those due to the direct action of the planets calculated by Williams (1995) show a quasi-perfect agreement, although the way of calculation is quite different.

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© European Southern Observatory (ESO) 1997

Online publication: July 8, 1998