Turbulence in Extrasolar Planetary Systems Implies that Mean Motion Resonances are Rare

Details Turbulence in Extrasolar Planetary Systems Implies that Mean Motion Resonances are Rare Turbulence in Extrasolar Planetary Systems Implies that Mean Motion Resonances are Rare

May 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008dda....39.0604a&link_type=abstract

American Astronomical Society, DDA meeting #39, #6.04

Astronomy and Astrophysics

Astronomy

Scientific paper

This talk discusses the effects of turbulence on mean motion resonances in extrasolar planetary systems and argues that systems rarely survive in a resonant configuration. A growing number of systems are reported to be in resonance, which is thought to arise from the planet migration process. If planets are brought together and moved inward through torques produced by circumstellar disks, then disk turbulence can act to prevent planets from staying in a resonant configuration. We study this process through numerical simulations and via analytic model equations, where both approaches include stochastic forcing terms due to turbulence. We explore how the amplitude and forcing time intervals of the turbulence affect the maintenance of mean motion resonances. If turbulence is common in circumstellar disks during the epoch of planet migration, with the amplitudes indicated by current MHD simulations, then planetary systems that remain deep in mean motion resonance are predicted to be rare. Specifically, the fraction of resonant systems that survive over a typical disk lifetime of 1 Myr is less than 0.025. If mean motion resonances are found to be common, their existence would place tight constraints on the amplitude and duty cycle of turbulent fluctuations in circumstellar disks. These results can be combined by expressing an upper limit on the fraction of surviving resonant systems in the form P ≈ C / √N, where C is a dimensionless parameter of order unity and N is the number of orbits for which turbulence is active. [This work was supported by NASA through the Origins of the Solar System Program.]

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