DISSIPATIVE DIVERGENCE OF RESONANT ORBITS

By K. Batygin, A. Morbidelli. 2012

179 citations recorded by the source corpus.

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, and 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.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/29374ec74d6c49ee5895464525195045c250eb2b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Timothy Morton
2. D. Charbonneau
3. J. Winn
4. J. Johnson
5. D. Huber
6. D. Fabrycky
7. G. Marcy
8. S. Bryson

Citations in the corpus

• OVERSTABLE LIBRATIONS CAN ACCOUNT FOR THE PAUCITY OF MEAN MOTION RESONANCES AMONG EXOPLANET PAIRS (2013, background): “Prominent among them are tides raised by the star in the planets as suggested by Lithwick & Wu (2012) and Batygin & Morbidelli (2013), dynamical friction due to a residual particle disk, and the excitation of apsidal waves.”
• TESTING IN SITU ASSEMBLY WITH THE KEPLER PLANET CANDIDATE SAMPLE (2013, background): “It has been suggested that such enhancements near commensurabilities, and the slight shift in the observed values, could be the result of tidal evolution (Wu & Lithwick 2012; Batygin & Morbidelli 2013).”
• Breaking the chains: hot super-Earth systems from migration and disruption of compact resonant chains (2017, background): “Among them are star–planet tidal dissipation (Papaloizou & Terquem 2010; Papaloizou 2011; Delisle et al. 2012; Lithwick & Wu 2012; Batygin & Morbidelli 2013; Delisle & Laskar 2014; Delisle, Laskar & Correia 2014), planet scattering of leftover planetesimals (Chatterjee & Ford 2015), turbulence in…”
• The Occurrence and Architecture of Exoplanetary Systems (2014, background): “…finding was anticipated by Terquem & Papaloizou (2007) as a consequence of tidal dissipation within the inner planet that would cause the orbits to spread apart, an idea that was picked up again by Batygin & Morbidelli (2013) and Lithwick, Xie & Wu (2012) once the Kepler sample became available.”
• PLANETARY CANDIDATES OBSERVED BY KEPLER IV: PLANET SAMPLE FROM Q1–Q8 (22 MONTHS) (2013, background): “…of multiple planet candidate systems provides insight into the formation, migration, and dynamical interaction processes that result in the planets observed by Kepler (e.g., Ford et al. 2011; Lissauer et al. 2011b; Fabrycky et al. 2012b; Rein 2012; Hansen & Murray 2013; Batygin & Morbidelli 2013).”
• Spacing of Kepler Planets: Sculpting by Dynamical Instability (2015, background): “A number of mechanisms have been proposed for this asymmetry, including resonant repulsion (Lithwick & Wu 2012; Batygin & Morbidelli 2013; Delisle et al. 2012), stochastic 6 3.”