Type I migration in optically thick accretion discs

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We study the torque acting on a planet embedded in an optically thick accretion disc, using global two-dimensional hydrodynamic simulations. The temperature of an optically thick accretion disc is determined by the energy balance between the viscous heating and the radiative cooling. The radiative cooling rate depends on the opacity of the disc. The opacity is expressed as a function of the temperature. We find that the disc is divided into three regions that have different temperature distributions. The slope of the entropy distribution becomes steep in the inner region of the disc with high temperature and the outer region of the disc with low temperature, while it becomes shallow in the middle region with intermediate temperature. Planets in the inner and outer regions move outwards owing to the large positive corotation torque exerted on the planet by an adiabatic disc, and on the other hand, a planet in the middle region moves inwards towards the central star. Planets are expected to accumulate at the boundary between the inner and middle regions of the adiabatic disc. The positive corotation torque decreases with an increase in the viscosity of the disc. We find that the positive corotation torque acting on the planet in the inner region becomes too small to cancel the negative Lindblad torque when we include the large viscosity, which destroys the enhancement of the density in the horseshoe orbit of the planet. This leads to the inward migration of the planet in the inner region of the disc. A planet with 5 Earth masses in the inner region can move outwards in a disc with surface density of 100 gcm -2 at 1au when the accretion rate of a disc is smaller than 2 × 10 -8M yr -1.

Original languageEnglish
Pages (from-to)2746-2756
Number of pages11
JournalMonthly Notices of the Royal Astronomical Society
Volume424
Issue number4
DOIs
Publication statusPublished - 2012 Aug 21

Fingerprint

accretion disks
planets
accretion
planet
torque
corotation
opacity
viscosity
temperature
cooling
energy balance
entropy
temperature distribution
hydrodynamics
slopes
heating
orbits
stars
augmentation

Keywords

  • Hydrodynamics
  • Methods: numerical
  • Planets and satellites: formation

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

Cite this

Type I migration in optically thick accretion discs. / Yamada, Ko; Inaba, Satoshi.

In: Monthly Notices of the Royal Astronomical Society, Vol. 424, No. 4, 21.08.2012, p. 2746-2756.

Research output: Contribution to journalArticle

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