1999/12/02 by C. Chicone, B. Mashhoon, D. G. Retzloff
Physics and Astronomy · #gr-qc #astro-ph #nlin.CD
published as Helv.Phys.Acta 72 (1999) 123-157 · 35 pages, 6 figures
arxiv created 1999/12/02 · arxiv updated 2009/11/30
We 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.