Type II Migration and Cavity Opening in Protoplanetary Disks

Astronomy and Astrophysics – Astronomy

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Scientific paper

Planets exchange angular momentum with the protoplanetary nebula, and consequently they migrate and possibly open gaps in the disk.
Using a new algorithm in which the global evolution of the disk is modelled with combination of 1D and 2D grids (Crida et al, submitted to A&A), we computed a series of simulations of the evolution of Jupiter mass planets. For low viscosity, the migration occurs on a viscous timescale, as expected; however, when viscosity increases, the migration becomes slower, until it is cancelled or even reversed. This is because the gap is not completely gas-proof (so that the planet decouples from the gas evolution), and the corotation torque is positive and does not saturate (Masset 2001). This new result may provide a solution to the crucial problem of the planetary migration.
When a planet opens a gap, the inner disk is supposed to accrete on the central star, leading to the formation of a cavity. However, if the gap is gas-proof, the planet migrates inwards in the cavity opening timescale; if not, the inner disk does not empty completely. We observed that the density profile of the disk corresponds to the one described by the Lynden-Bell and Pringle (1974) equations, multiplied by the gap profile (fraction of the unperturbed density characterizing the equilibrium of the planet-disk interaction; Crida et al, 2006). The key parameter for cavity opening appears to be the ratio between the inner radius of the disk R_inf and the radius of the planetary orbit. The importance of R_inf had never been noticed before; it shows that the simulations need to account for the full extension of the gas disk, in particular down to its inner edge.

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