Mutual perturbations of the four outer planets in terms of only one angular variable

Details Mutual perturbations of the four outer planets in terms of only one angular variable Mutual perturbations of the four outer planets in terms of only one angular variable

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...265..308s&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 265, no. 1, p. 308-323.

Astronomy and Astrophysics

Astrophysics

5

Celestial Mechanics, Gas Giant Planets, Perturbation, Astrometry, Solar System

Scientific paper

A planetary theory of the system: the sun-Jupiter-Saturn-Uranus-Neptune is constructed. The method described in Simon & Joutel (1988) is used to compute the perturbations in the form of Poisson series of only one angular variable. As an illustration, a solution of the motion of Jupiter represented with heliocentric sherical variables reckoned to the dynamical ecliptic and equinox J2000 is given. The series are truncated to 1 arcsec over 1000 yr or 10 arcsec over 6000 yr. This level of truncature ensures a precision of 6 arcsec over 2000 yr and of 36 arcsec over 12,000 yr.

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