Chaos in the Hill system

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dc.creatorChicone, C.
dc.creatorMashhoon, B.
dc.creatorRetzloff, D. G.
dc.date1999-12-02
dc.date.accessioned2026-07-25T17:23:47Z
dc.descriptionWe define the general Hill system and briefly analyze its dynamical behavior. A particular Hill system representing the interaction of a Keplerian binary system with a normally incident circularly polarized gravitational wave is discussed in detail. In this case, we compute the Poincaré-Melnikov function explicitly and determine its zeros. Moreover, we provide numerical evidence in favor of chaos in this system. The partially averaged equations for the Hill system are used to predict the regular behavior of the Keplerian orbit at resonance with the external radiation.
dc.description35 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/gr-qc/9912015
dc.identifierhttp://arxiv.org/abs/gr-qc/9912015
dc.identifierHelv.Phys.Acta 72 (1999) 123-157
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/47902
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectChaotic Dynamics
dc.titleChaos in the Hill system
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