Dynamics of Trojan asteroids

		Balint Erdi, email:EASD201@URSUS.BKE.HU

The author's theory of Trojan asteroids (Erdi, 1988, CM 43, 303) is
developed further. The motion of the Trojans is considered in the
model of the three-dimensional elliptic restricted three-body problem
of the Sun-Jupiter-asteroid system, but including also the secular
changes of Jupiter's orbital eccentricity and the apsidal motion of
Jupiter's elliptic orbit. An asymptotic solution is derived, by
applying the multiple-timescale method, for the polar coordinates and
then for the orbital elements of the asteroids. This solution is used
for the analysis of some dynamical features of the motion of the Trojans.