Celestial Mechanics and Dynamical Astronomy

, Volume 78, Issue 1–4, pp 113–123 | Cite as

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

  • Zsolt Sándor
  • Bálint Érdi
  • Christos Efthymiopoulos


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 L4 Poincaré’s surface of section stretching numbers finite-time Lyapunov characteristic numbers 


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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

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

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