Lidov-Kozai perturbation in the motion of Jupiter Trojans
September 16, 2022
The Lidov-Kozai perturbation was investigated in the region of Jupiter Trojans. These asteroids
move in the mean-motion commensurability 1:1 with Jupiter. The study was carried out by means
of numerical integration of equations of motion of real asteroids. The simplest dynamical model
was used with Jupiter as an only perturbing body moving in a fixed elliptical orbit. After
eliminating classical secular perturbations from osculating elements, it becomes possible to
determine the influence of the Lidov-Kozai mechanism on the orbital inclination and eccentricity.
As a result, it was found that for L4-trojans the maximum eccentricity, and, accordingly, the
minimum inclination is achieved with perihelion argument values ω = 30º and 210º. For L5-trojans
the maximum eccentricity is located at the points ω = 150º, 330º.
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