PERTURBED TROJAN DYNAMICS IN THE SOLAR SYSTEM

Perturbed elliptical restricted three-body problem has been studied with an analytically derived mean motion expression. The expression and the value of the mean motion is found to be different from the previous studies but aligns with the laws of orbital motion. The distance shift of the first five Lagrangian points for several systems of astronomical importance is observed and the linear stability is discussed. We have found that, for eccentricity > ~0.6447, the range of mass parameter providing linearly stable solutions at the triangular points increases. The Trojan motion of objects in the Sun-Jupiter and other systems have been studied.