EDP Sciences
Free Access
Volume 374, Number 3, August II 2001
Page(s) 1092 - 1099
Section Formation and evolution of planetary systems
DOI https://doi.org/10.1051/0004-6361:20010779
Published online 15 August 2001

A&A 374, 1092-1099 (2001)
DOI: 10.1051/0004-6361:20010779

On disc driven inward migration of resonantly coupled planets with application to the system around GJ876

M. D. Snellgrove, J. C. B. Papaloizou and R. P. Nelson

Astronomy Unit, Queen Mary, University of London, Mile End Rd, London E1 4NS, UK

(Received 3 April 2001 / Accepted 28 May 2001)

We consider two protoplanets gravitationally interacting with each other and a protoplanetary disc. The two planets orbit interior to a tidally maintained disc cavity while the disc interaction induces inward migration. When the migration is slow enough, the more rapidly migrating outer protoplanet approaches and becomes locked in a 2:1 commensurability with the inner one. This is maintained in subsequent evolution. We study this evolution using a simple analytic model, full hydrodynamic 2D simulations of the disc planet system and longer time N-body integrations incorporating simple prescriptions for the effects of the disc on the planet orbits. The eccentricities of the protoplanets are found to be determined by the migration rate and circularization rate induced in the outer planet orbit by the external disc. We apply our results to the recently discovered resonant planets around GJ876. Simulation shows that a disc with parameters expected for protoplanetary discs causes trapping in the 2:1 commensurability when the planets orbit in an inner cavity and that eccentricities in the observed range may be obtained.

Key words: stars: planetary systems: formation -- stars: protoplanetary discs -- celestial mechanics -- stars: individual: GJ876

Offprint request: M. D. Snellgrove, m.d.snellgrove@qmw.ac.uk

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