Chaos in Planar, Circular, Restricted Three-Body Problem


In this article we analyze the motion of a test particle of a planar, circular, restricted three-body problem in resonance, using the Kustaanheimo-Stiefel formalism. We show that a good qualitative description of the motion can be reduced to three simple equations for semi-major axis, eccentricity and resonance angle. Studying these equations reveals the onset of chaos, and sheds a new light on its weak nature. The 7:4 resonance is used as an example.

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J. Vrbik, "Chaos in Planar, Circular, Restricted Three-Body Problem," Applied Mathematics, Vol. 4 No. 1, 2013, pp. 40-45. doi: 10.4236/am.2013.41008.

Conflicts of Interest

The authors declare no conflicts of interest.


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