1998/06/26 by Carmen Chicone, C. Chicone, Bahram Mashhoon +3 · 1 citation
Physics and Astronomy · #Astro and Planetary Science #Quantum chaos and dynamical systems #Stellar, planetary, and galactic studies #astro-ph #gr-qc #nlin.CD
paper · pdf · doi:10.1088/0264-9381/16/2/014
published as Class.Quant.Grav. 16 (1999) 507-527 · RevTeX, 22 pages, 6 figures
arxiv created 1998/06/26 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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.