On the Sitnikov problem |
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| Authors: | Jie Liu Yi-Sui Sun |
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| Affiliation: | (1) Department of Astronomy, Nanjing University, P.R. of China |
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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.This project is supported by the National Science Foundation of China. |
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| Keywords: | Dynamical systems Sitnikov problem KS-entropy hyperbolic invariant set |
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