Celestial Mechanics and Dynamical Astronomy

, Volume 78, Issue 1, pp 113–123

The Phase Space Structure Around L4 in the Restricted Three-Body Problem

  • Zsolt Sándor
  • Bálint Érdi
  • Christos Efthymiopoulos

DOI: 10.1023/A:1011112228708

Cite this article as:
Sándor, Z., Érdi, B. & Efthymiopoulos, C. Celestial Mechanics and Dynamical Astronomy (2000) 78: 113. doi:10.1023/A:1011112228708


The phase space structure around L4 in the restricted three-body problem is investigated. The connection between the long period family emanating from L4 and the very complex structure of the stability region is shown by using the method of Poincaré’s surface of section. The zero initial velocity stability region around L4 is determined by using a method based on the calculation of finite-time Lyapunov characteristic numbers. It is shown that the boundary of the stability region in the configuration space is formed by orbits suffering slow chaotic diffusion.

non-linear stability around L4Poincaré’s surface of sectionstretching numbersfinite-time Lyapunov characteristic numbers

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Zsolt Sándor
    • 1
  • Bálint Érdi
    • 3
  • Christos Efthymiopoulos
    • 4
  1. 1.Konkoly ObservatoryHungarian Academy of SciencesBudapestHungary
  2. 2.Department of AstronomyEötvös UniversityBudapestHungary
  3. 3.Department of AstronomyEötvös UniversityBudapestHungary
  4. 4.Department of AstronomyUniversity of Athens, PanepistimiopolisZografos, AthensGreece