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    Sustained resonance: a binary system perturbed by gravitational radiation

    Chicone, Carmen Charles
    Mashhoon, Bahram
    Retzloff, David G.
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    [PDF] SustainedResonanceBinarySystem.pdf (2.199Mb)
    Date
    2000
    Format
    Article
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    Abstract
    The general phenomena associated with sustained resonance are studied in this paper in connection with relativistic binary pulsars. We represent such a system by two point masses in a Keplerian binary system that evolves via gravitational radiation damping as well as an external tidal perturbation. For further simplification, we assume that the external tidal perturbation is caused by a normally incident circularly polarized monochromatic gravitational wave. In this case, the second-order partially averaged equations are studied and a theorem of C Robinson is employed to prove that for certain values of the physical parameters resonance capture followed by sustained resonance is possible in the averaged system. We conjecture that sustained resonance can occur in the physical system when the perturbing influences nearly balance each other.
    URI
    http://hdl.handle.net/10355/8596
    Part of
    Mathematics publications (MU)
    Citation
    C Chicone et al 2000 J. Phys. A: Math. Gen. 33 513
    Rights
    OpenAccess.
    This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
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