Onset of secular chaos in planetary systems: period doubling and strange attractors
Abstract
As a result of resonance overlap, planetary systems can exhibit chaotic motion. Planetary chaos has been studied extensively in the Hamiltonian framework, however, the presence of chaotic motion in systems where dissipative effects are important, has not been thoroughly investigated. Here, we study the onset of stochastic motion in presence of dissipation, in the context of classical perturbation theory, and show that planetary systems approach chaos via a period-doubling route as dissipation is gradually reduced. Furthermore, we demonstrate that chaotic strange attractors can exist in mildly damped systems. The results presented here are of interest for understanding the early dynamical evolution of chaotic planetary systems, as they may have transitioned to chaos from a quasi-periodic state, dominated by dissipative interactions with the birth nebula.
Additional Information
© 2011 Springer Science+Business Media B.V. Received: 13 April 2011; Revised: 2 June 2011; Accepted: 11 June 2011; Published online: 31 July 2011. We thank K. Tsiganis for numerous useful discussions and Oded Aharonson for carefully reviewing the manuscript. Additionally, we thank the anonymous referees four useful suggestions.Attached Files
Accepted Version - 1106.2590.pdf
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Additional details
- Eprint ID
- 27789
- DOI
- 10.1007/s10569-011-9361-3
- Resolver ID
- CaltechAUTHORS:20111115-142836913
- Created
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2011-11-16Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field
- Caltech groups
- Division of Geological and Planetary Sciences