Disk Planet Interactions And Early Evolution in Young Planetary Systems |
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Authors: | J C B Papaloizou |
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Institution: | (1) Astronomy Unit, Queen Mary, University of London, Mile End Road, London, E14Ns, U. K. |
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Abstract: | We study and review disk protoplanet interactions using local shearing box simulations. These suffer the disadvantage of having
potential artefacts arising from periodic boundary conditions but the advantage, when compared to global simulations, of being
able to capture much of the dynamics close to the protoplanet at high resolution for low computational cost. Cases with and
without self sustained MHD turbulence are considered. The conditions for gap formation and the transition from type I migration
are investigated and found to depend on whether the single parameter M
p
R
3/(M*
H
3), with M
p, M*, R, and H being the protoplanet mass, the central mass, the orbital radius and the disk semi-thickness, respectively, exceeds a number
of order unity. We also investigate the coorbital torques experienced by a moving protoplanet in an inviscid disk. This is
done by demonstrating the equivalence of the problem for a moving protoplanet to one where the protoplanet is in a fixed orbit
which the disk material flows through radially as a result of the action of an appropriate external torque. For sustainable
coorbital torques to be realized a quasi steady state must be realized in which the planet migrates through the disk without
accreting significant mass. In that case, although there is sensitivity to computational parameters, in agreement with earlier
work by Masset and Papaloizou 2003, ApJ, 588, 494] based on global simulations, the coorbital torques are proportional to
the migration speed and result in a positive feedback on the migration, enhancing it and potentially leading to a runaway.
This could lead to fast migration for protoplanets in the Saturn mass range in massive disks and may be relevant to the mass
period correlation for extrasolar planets which gives a preponderance of sub Jovian masses at short orbital periods. |
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Keywords: | accretion disks MHD migration planetary formation |
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