Author: J.L. Simon (Bureau des Longitudes)
Title: New analytic theory of the four outer planets.

Abstract. 
     We present a new theory of the planets Jupiter, Saturn, Uranus and
Neptune, using the more accurate values of the planetary masses now available.
Solutions are developped in the form of Poisson series of only one basic argumen
t
of period 17485 years. That representation allows the development of the mutual
perturbations Jupiter-Saturn to be more convergent than in the classical theorie
s.
The perturbations are computed by an iterative method using harmonic analysis.
Perturbations by the inner planets issued from VSOP82 (Bretagnon, 1982) have bee
n
introduced in the iterations.
     The constants of integration are given by adjustement to the numerical 
integration of the JPL, DE245 (Standish, 1994). Over one century, the difference
s
between our theory and DE245 are small, about a few milliarcseconds for the
heliocentric longitudes.
     The precision of our theory is computed by comparison with numerical
integrations run over 12000 years. For the four planets the precision is better
than 0",01 over 2000 years (except Saturn: 0".014) and better than 1 arcsecond o
ver 12000
years (except Saturn: 1".75). So, the gain in precision of our theory in connect
ion
with the best present analytical theories is about 10.