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    Gravitational ionization: a chaotic net in the Kepler system

    Chicone, Carmen Charles
    Mashhoon, Bahram
    Retzloff, David G.
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    [PDF] GravitationalIonizationChaoticNetKepler.pdf (311.4Kb)
    Date
    1997
    Format
    Article
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    Abstract
    The long-term nonlinear dynamics of a Keplerian binary system under the combined influences of gravitational radiation damping and external tidal perturbations is analysed. Gravitational radiation reaction leads the binary system towards eventual collapse, while the external periodic perturbations could lead to the ionization of the system via Arnold diffusion. When these two opposing tendencies nearly balance each other, interesting chaotic behaviour occurs which is briefly studied in this paper. It is possible to show that periodic orbits can exist in this system for sufficiently small damping. Moreover, we employ the method of averaging to investigate the phenomenon of capture into resonance.
    URI
    http://hdl.handle.net/10355/8628
    Part of
    Mathematics publications (MU)
    Citation
    C Chicone et al 1997 Class. Quantum Grav. 14 699
    Rights
    OpenAccess.
    This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
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