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- Title
On some long time dynamical features of the Trojan asteroids of Jupiter.
- Authors
Érdi, Bálint; Forgács-Dajka, Emese; Süli, Áron
- Abstract
The equation of motion of long periodic libration around the Lagrangian point $$L_4$$ in the restricted three-body problem is investigated. The range of validity of an approximate analytical solution in the tadpole region is determined by numerical integration. The predictions of the model of libration are tested on the Trojan asteroids of Jupiter. The long time evolution of the orbital eccentricity and the longitude of the perihelion of the Trojan asteroids, under the effect of the four giant planets, is also investigated and a slight dynamical asymmetry is shown between the two groups of Trojans at $$L_4$$ and $$L_5$$ .
- Subjects
TROJAN asteroids; JUPITER (Planet); LAGRANGIAN points; THREE-body problem; APPROXIMATION theory; NUMERICAL analysis
- Publication
Celestial Mechanics & Dynamical Astronomy, 2013, Vol 117, Issue 1, p3
- ISSN
0923-2958
- Publication type
Article
- DOI
10.1007/s10569-013-9492-9