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Chaos in the Kepler system

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Title: Chaos in the Kepler system
Author: Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David
Keywords: nonlinear dynamics
Date: 1999-02
Publisher: American Institute of Physics
Citation: C Chicone et al 1999 Class. Quantum Grav. 16 507
Abstract: The long-term dynamical evolution of a Keplerian binary orbit due to the emission and absorption of gravitational radiation is investigated. This work extends our previous results on transient chaos in the planar case to the three-dimensional Kepler system. Specifically, we consider the nonlinear evolution of the relative orbit due to gravitational radiation damping as well as external gravitational radiation that is obliquely incident on the initial orbital plane. The variation of orbital inclination, especially during resonance capture, turns out to be very sensitive to the initial conditions. Moreover, we discuss the novel phenomenon of chaotic transition.
ISSN: 0264-9381

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