EDP Sciences
Free access
Volume 450, Number 3, May II 2006
Page(s) 1203 - 1220
Section Planets and planetary systems
DOI http://dx.doi.org/10.1051/0004-6361:20053761
A&A 450, 1203-1220 (2006)
DOI: 10.1051/0004-6361:20053761

RODEO: a new method for planet-disk interaction

S.-J. Paardekooper1 and G. Mellema2, 1

1  Leiden Observatory, Postbus 9513, 2300 RA Leiden, The Netherlands
2  ASTRON, Postbus 2, 7990 AA Dwingeloo, The Netherlands
    e-mail: paardeko@strw.leidenuniv.nl;gmellema@astron.nl

(Received 5 July 2005 / Accepted 14 November 2005)

Aims.In this paper we describe a new method for studying the hydrodynamical problem of a planet embedded in a gaseous disk.
Methods.We use a finite volume method with an approximate Riemann solver (the Roe solver), together with a special way to integrate the source terms. This new source term integration scheme sheds new light on the Coriolis instability, and we show that our method does not suffer from this instability.
Results.The first results on flow structure and gap formation are presented, as well as accretion and migration rates. For Mp < 0.1  ${{M}_{\rm J}}$ and Mp > 1.0 ${{M}_{\rm J}}$ ( ${{M}_{\rm J}}$ = Jupiter's mass) the accretion rates do not depend sensitively on numerical parameters, and we find that within the disk's lifetime a planet can grow to 3-4  ${{M}_{\rm J}}$. In between these two limits numerics play a major role, leading to differences of more than $50 \%$ for different numerical parameters. Migration rates are not affected by numerics at all as long as the mass inside the Roche lobe is not considered. We can reproduce the type I and type II migration for low-mass and high-mass planets, respectively, and the fastest moving planet of 0.1  ${{M}_{\rm J}}$ has a migration time of only $2.0 \times 10^4$ yr.

Key words: hydrodynamics -- methods: numerical -- stars: planetary systems: formation

© ESO 2006

What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access.

An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.

  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account.
    In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.