The phase space structure around L4 in the restricted three-body problem

Zsolt Sándor, B. Érdi, Christos Efthymiopoulos

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)113-123
Number of pages11
JournalCelestial Mechanics and Dynamical Astronomy
Volume78
Issue number1-4
Publication statusPublished - 2000

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three body problem
orbits
configurations
method

Keywords

  • Finite-time Lyapunov characteristic numbers
  • Non-linear stability around L
  • Poincaré's surface of section
  • Stretching numbers

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

Cite this

The phase space structure around L4 in the restricted three-body problem. / Sándor, Zsolt; Érdi, B.; Efthymiopoulos, Christos.

In: Celestial Mechanics and Dynamical Astronomy, Vol. 78, No. 1-4, 2000, p. 113-123.

Research output: Contribution to journalArticle

Sándor, Zsolt ; Érdi, B. ; Efthymiopoulos, Christos. / The phase space structure around L4 in the restricted three-body problem. In: Celestial Mechanics and Dynamical Astronomy. 2000 ; Vol. 78, No. 1-4. pp. 113-123.
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