1994Unpublished venueRequires access

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

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

Open publisher page 144 citations

Abstract

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

About this research paper

What this paper is about

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

Why it matters

OpenAlex reports 144 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

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

Key concepts: Physics, Precession, Planet, Apsidal precession, Ecliptic, Ephemeris, Celestial mechanics, Outer planets

Related papers

Back to paper searchBrowse research topicsOriginal source
Numerical expressions for precession formulae and mean elements for the Moon and the planets. — Research Paper | ScholarLens