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Numerical expressions for precession formulae and mean elements for the Moon and the planets.

1994; EDP Sciences; Volume: 282; Issue: 2 Linguagem: Inglês

1432-0746

J. L. Simon, P. Bretagnon, J. Chapront, Michelle Chapront‐Touzé, G. Francou, J. Laskar,

Stellar, planetary, and galactic studies

We present, in this paper, a coherent set of formulae giving numerical expressions for precession quantities and mean elements of the Moon and the planets. First, using the notations of Lieske et al. (1977), we construct expressions for the precession quantities based upon the use of the secular variations of the ecliptic pole from the planetary theories built at the Bureau des Longitudes and taking into account recent determinations of the precession constant and of the obliquity in J2000. Also we give the derivatives of these expressions with respect to the masses of the planets, to the precession constant and to the obliquity. So, this set of formulae is applicable whenever the values of the planetary masses and of the constants are improved