Transient chaos in the Sitnikov problem

T. Kovács, B. Érdi

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

In this paper, we show the important role of chaotic transients in Celestial Mechanics through the Sitnikov problem. We compare the two kinds of chaos, permanent and transient, and provide the chaotic saddle of the Sitnikov problem giving also some important quantitative properties of this fractal set. Additionally, we present a link between the stickiness effect of tori and chaotic scattering.

Original languageEnglish
Pages (from-to)289-304
Number of pages16
JournalCelestial Mechanics and Dynamical Astronomy
Volume105
Issue number4
DOIs
Publication statusPublished - Nov 1 2009

Keywords

  • Chaotic saddle
  • Chaotic scattering
  • Sitnikov problem
  • Stickiness
  • Transient chaos

ASJC Scopus subject areas

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

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