Migration of Two Massive Planets into (and out of) First Order Mean Motion Resonances
- Creators
- Deck, Katherine M.
- Batygin, Konstantin
Abstract
We consider the dynamical evolution of two planets with nearly circular and nearly coplanar orbits undergoing eccentricity damping and convergent migration in the vicinity of a first order mean motion resonance. Following Goldreich & Schlichting, we include a coupling between the dissipative semimajor axis evolution and the damping of the eccentricities. In agreement with past studies, we find that this coupling can lead to instability of the resonance and that for a certain range of parameters capture into resonance is only temporary. Using a more general model, we show that whether escape from resonance can occur depends in a characteristic way on the mass ratio between the two planets as well as their relative eccentricity damping timescales. In particular, systems undergoing Type I migration with a more massive inner planet typically result in permanent capture. Additionally, we show that even when escape from resonance does occur, the timescale for escape is long enough such at any given time a pair of planets is more likely to be found in a low-order resonance rather than migrating between them. Thus, we argue that intrinsic instability of resonances cannot singlehandedly reconcile convergent migration with the observed lack of Kepler planet pairs found near resonances.
Additional Information
© 2015 The American Astronomical Society. Received 2015 June 3; accepted 2015 August 4; published 2015 September 4. K.M.D. would like to acknowledge support from the Joint Center for Planetary Astronomy at Caltech and also to thank Peter Goldreich for prompting the discussion of external sources of precession. We would also like to thank the referee for a close reading of the paper and for many suggestions for improvements.Attached Files
Published - Deck_2015.pdf
Submitted - 1506.01382v1.pdf
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Additional details
- Eprint ID
- 61572
- Resolver ID
- CaltechAUTHORS:20151027-134325195
- Caltech Joint Center for Planetary Astronomy
- Created
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2015-10-27Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field
- Caltech groups
- Division of Geological and Planetary Sciences