- 96-382 Chicone, C., Mashhoon, B., Retzloff, D.
- Gravitational Ionization: A Chaotic Net in the Kepler System
Aug 22, 96
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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 analyzed. 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 behavior occurs that 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.