A torque formula for non-isothermal Type I planetary migration - I. Unsaturated horseshoe drag

Details A torque formula for non-isothermal Type I planetary migration - I. Unsaturated horseshoe drag A torque formula for non-isothermal Type I planetary migration - I. Unsaturated horseshoe drag

2009-09-24

arxiv.org/abs/0909.4552v1

Astronomy and Astrophysics

Astrophysics

Earth and Planetary Astrophysics

17 pages, 17 figures, accepted for publication in MNRAS

Scientific paper

We study the torque on low-mass planets embedded in protoplanetary discs in the two-dimensional approximation, incorporating non-isothermal effects. We couple linear estimates of the Lindblad (or wave) torque to a simple, but non-linear, model of adiabatic corotation torques (or horseshoe drag), resulting in a simple formula that governs Type I migration in non-isothermal discs. This formula should apply in optically thick regions of the disc, where viscous and thermal diffusion act to keep the horseshoe drag unsaturated. We check this formula against numerical hydrodynamical simulations, using three independent numerical methods, and find good agreement.

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