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Celestial Mechanics and Dynamical Astronomy

, Volume 49, Issue 3, pp 285–302 | Cite as

On the Sitnikov problem

  • Jie Liu
  • Yi-Sui Sun
Article

Abstract

A mapping which reflects the properties of the Sitnikov problem is derived. We study the mapping instead of the original differential equations and discover that there exists a hyperbolic invariant set. The theoretical prediction of the disorder region agrees remarkably with numerical results. We also discuss the LCEs and KS-entropy of the dynamical system.

Keywords

Dynamical systems Sitnikov problem KS-entropy hyperbolic invariant set 

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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • Jie Liu
    • 1
  • Yi-Sui Sun
    • 1
  1. 1.Department of AstronomyNanjing UniversityP.R. of China

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