Three-dimensional Calculations of High and Low-mass Planets Embedded in Protoplanetary Discs

Abstract

We analyse the non-linear, three-dimensional response of a gaseous, viscous protoplanetary disc to the presence of a planet of mass ranging from one Earth mass (1 M${}_e$) to one Jupiter mass (1 M${}_J$) by using the ZEUS hydrodynamics code. We determine the gas flow pattern, and the accretion and migration rates of the planet. The planet is assumed to be in a fixed circular orbit about the central star. It is also assumed to be able to accrete gas without expansion on the scale of its Roche radius. Only planets with masses $M \gsim 0.1$ M${}_J$ produce significant perturbations in the disc's surface density. The flow within the Roche lobe of the planet is fully three-dimensional. Gas streams generally enter the Roche lobe close to the disc midplane, but produce much weaker shocks than the streams in two-dimensional models. The streams supply material to a circumplanetary disc that rotates in the same sense as the planet's orbit. Much of the mass supply to the circumplanetary disc comes from non-coplanar flow. The accretion rate peaks with a planet mass of approximately 0.1 M${}_J$ and is highly efficient, occurring at the local viscous rate. The migration timescales for planets of mass less than 0.1 M${}_J$, based on torques from disc material outside the planets' Roche lobes, are in excellent agreement with the linear theory of Type I (non-gap) migration for three-dimensional discs. The transition from Type I to Type II (gap) migration is smooth, with changes in migration times of about a factor of 2. Starting with a core which can undergo runaway growth, a planet can gain up to a few M${}_J$ with little migration. Planets with final masses of order 10 M${}_J$ would undergo large migration, which makes formation and survival difficult.

arXiv commentAccepted by MNRAS, 18 pages, 13 figures (6 degraded resolution). Paper with high-resolution figures available at http://www.astro.ex.ac.uk/people/mbate/

References in corpus (8)

• Disk Accretion Onto High-Mass Planets
• Mass Flow and Accretion through gaps in Accretion Discs
• The Migration and Growth of Protoplanets in Protostellar Discs
• Nested-grid calculations of disk-planet interaction
• On the wake generated by a planet in a disc
• Maximum likelihood method for estimating the mass and period distributions of extra-solar planets
• The distribution of exoplanet masses
• Derivation of the Mass Distribution of Extrasolar Planets with MAXLIMA - a Maximum Likelihood Algorithm

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