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J. Vrbik, “Kepler Problem with Time-Dependent and Resonant Perturbations,” Journal of Mathematical Physics, Vol. 48, No. 5, 2007, pp. 1-13. doi:10.1063/1.2729369

has been cited by the following article:

• TITLE: Chaos in Planar, Circular, Restricted Three-Body Problem

  AUTHORS: Jan Vrbik

  KEYWORDS: Chaotic Orbits; Perturbation Methods; Three-Body Problem; Resonance

  JOURNAL NAME: Applied Mathematics, Vol.4 No.1, January 25, 2013

  ABSTRACT: 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.