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On the Sitnikov problem

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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.

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Authors and Affiliations

  1. Department of Astronomy, Nanjing University, P.R. of China

    Jie Liu & Yi-Sui Sun

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  1. Jie Liu
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  2. Yi-Sui Sun
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This project is supported by the National Science Foundation of China.

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Liu, J., Sun, YS. On the Sitnikov problem. Celestial Mech Dyn Astr 49, 285–302 (1990). https://doi.org/10.1007/BF00049419

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  • DOI: https://doi.org/10.1007/BF00049419

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