Journal Article

Lidov–Kozai mechanism in Hildas and Jupiter Trojans

Vinogradova, T. A

2024

Overview

In this paper, the Lidov–Kozai mechanism was studied in the region of the Hilda group and Jupiter Trojans. Asteroids of these populations move in 3:2 and 1:1 orbital resonances with Jupiter. The study was carried out using numerical integration of real asteroids’ equations of motion. A simplified dynamical model was adopted. Perturbations from only Jupiter moving in a fixed elliptical orbit were taken into account. Classical secular perturbations were excluded from osculating elements at every print step, and derived orbital inclinations and eccentricities were plotted versus a perihelion argument ω. As a result, it was found that usual positions of a maximum of the eccentricity and, accordingly, a minimum of the inclination (ω=90∘, 270∘) are shifted in these resonant regions. For Hildas, the maximum of the eccentricity is achieved with perihelion argument values ω=0∘, 180∘. For L4 Trojans, it is achieved with ω=30∘, 210∘, and for L5 Trojans—with ω=150∘, 330∘.

• Publisher: Springer Nature B.V
• Subject: Asteroids / Dynamic models / Elliptical orbits / Equations of motion / Jupiter / Methods / Numerical integration / Orbital resonances (celestial mechanics) / Orbits / Perihelions / Perturbation