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Reversing type II migration: resonance trapping of a lighter giant protoplanet

Published online by Cambridge University Press:  26 May 2016

F. S. Masset
Affiliation:
Astronomy Unit, School of Mathematical Sciences, Queen Mary & Westfield College, 327 Mile End Road, London E1 4NS, UK
M. D. Snellgrove
Affiliation:
Astronomy Unit, School of Mathematical Sciences, Queen Mary & Westfield College, 327 Mile End Road, London E1 4NS, UK

Abstract

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We present new results related to the coupled evolution of a two giant planet system embedded in a protoplanetary disk, in which a Saturn mass protoplanet is trapped in an outer mean motion resonance with a Jupiter mass protoplanet. The gaps opened in the disk by the two planets overlap, therefore the two planet system exchanges angular momentum with the disk at the inner planet's Inner Lindblad Resonances (ILRs) and at the outer planet Outer Lindblad Resonances (OLRs). Since the torques are proportional to the square of the planet masses, and since the inner planet is about three times more massive than the outer one, the ILR torques are favored by a factor ∽ 10 with respect to the one planet case. In the case presented here, this leads to a positive differential Lindblad torque and consequently an outwards migration. We briefly discuss the long-term behavior of the system, which could account for the high eccentricities of the extra-solar planets with semimajor axis a > 0.2 AU.

Type
Part II: Progress in the theory of planet formation
Copyright
Copyright © Astronomical Society of the Pacific 2004 

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