Three-dimensional Calculations of High and Low-mass Planets Embedded in Protoplanetary Discs
| dc.creator | Bate, M. R. | |
| dc.creator | Lubow, S. H. | |
| dc.creator | Ogilvie, G. I. | |
| dc.creator | Miller, K. A. | |
| dc.date | 2003-01-09 | |
| dc.date.accessioned | 2026-07-07T10:47:32Z | |
| dc.date.available | 2026-07-07T10:47:32Z | |
| dc.description | 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. | |
| dc.description | Accepted by MNRAS, 18 pages, 13 figures (6 degraded resolution). Paper with high-resolution figures available at http://www.astro.ex.ac.uk/people/mbate/ | |
| dc.identifier | https://arxiv.org/abs/astro-ph/0301154 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/0301154 | |
| dc.identifier | Mon.Not.Roy.Astron.Soc.341:213,2003 | |
| dc.identifier | doi:10.1046/j.1365-8711.2003.06406.x | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183566 | |
| dc.subject | Astrophysics | |
| dc.title | Three-dimensional Calculations of High and Low-mass Planets Embedded in Protoplanetary Discs | |
| dc.type | text |