On some long time dynamical features of the Trojan asteroids of Jupiter

Bálint Érdi, Emese Forgács-Dajka, Áron Süli

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The equation of motion of long periodic libration around the Lagrangian point L4 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 L4 and L5.

Original languageEnglish
Pages (from-to)3-16
Number of pages14
JournalCelestial Mechanics and Dynamical Astronomy
Volume117
Issue number1
DOIs
Publication statusPublished - Sep 1 2013

Keywords

  • (1870) Glaukos
  • (588) Achilles
  • (624) Hektor
  • Libration
  • Libration period
  • Restricted three-body problem
  • Triangular Lagrangian points
  • Trojan asteroids

ASJC Scopus subject areas

  • Modelling and Simulation
  • Mathematical Physics
  • Astronomy and Astrophysics
  • Space and Planetary Science
  • Computational Mathematics
  • Applied Mathematics

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