Dissipative Divergence of Resonant Orbits
arXiv:1204.2791 · doi:10.1088/0004-6256/145/1/1
Abstract
A considerable fraction of multi-planet systems discovered by the observational surveys of extrasolar planets reside in mild proximity to first-order mean motion resonances. However, the relative remoteness of such systems from nominal resonant period ratios (e.g. 2:1, 3:2, 4:3) has been interpreted as evidence for lack of resonant interactions. Here we show that a slow divergence away from exact commensurability is a natural outcome of dissipative evolution and demonstrate that libration of critical angles can be maintained tens of percent away from nominal resonance. We construct an analytical theory for the long-term dynamical evolution of dissipated resonant planetary pairs and confirm our calculations numerically. Collectively, our results suggest that a significant fraction of the near-commensurate extrasolar planets are in fact resonant and have undergone significant dissipative evolution.
10 pages, 6 figures, accepted to AJ
References in corpus (6)
- Migration and the formation of systems of hot super-Earths and Neptunes
- Dynamics of the giant planets of the solar system in the gaseous proto-planetary disk and relationship to the current orbital architecture
- Three-dimensional simulations of multiple protoplanets embedded in a protostellar disc
- The HARPS search for southern extra-solar planets. XIII. A planetary system with 3 Super-Earths (4.2, 6.9, & 9.2 Earth masses)
- Long-term tidal evolution of short-period planets with companions
- On the evolution of mean motion resonances through stochastic forcing: Fast and slow libration modes and the origin of HD128311
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