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We consider the angular momentum exchange at the corotation resonance between a two-dimensional gaseous disk and a uniformly rotating external potential, assuming that the disk flow is adiabatic. We first consider the linear case for an…

Astrophysics · Physics 2009-11-13 C. Baruteau , F. Masset

The most accurate method for modelling planetary migration and hence the formation of resonant systems is using hydrodynamical simulations. Usually, the force (torque) acting on a planet is calculated using the forces from the gas disc and…

Earth and Planetary Astrophysics · Physics 2020-04-08 S. Ataiee , W. Kley

The torque felt by a non-accreting protoplanet on a circular orbit embedded in a uniform surface density protoplanetary disk is analyzed by means of time-dependent numerical simulations. Varying the viscosity enables one to disentangle the…

Astrophysics · Physics 2016-08-30 F. S. Masset

Recent developments suggested that planet formation occurs in regions of the discs with low turbulent viscosity. There, the dynamical corotation torque is thought to play an important role by slowing down type I migration. We aim to provide…

Earth and Planetary Astrophysics · Physics 2025-07-04 Jesse Weder , Clément Baruteau , Christoph Mordasini

We performed linear calculations to determine the Type I planetary migration rate for three-dimensional locally isothermal disks with radial temperature gradients. For 3D disks with radial temperature gradients, the linear wave equation has…

Earth and Planetary Astrophysics · Physics 2024-04-22 Hidekazu Tanaka , Kohei Okada

Gravitational coupling between a protoplanetary disc and an embedded eccentric planet is an important, long-standing problem, which has been not yet been conclusively explored. Here we study the torque and associated orbital evolution of an…

Earth and Planetary Astrophysics · Physics 2024-07-31 Callum W. Fairbairn , Roman R. Rafikov

We study torques on migrating low-mass planets in locally isothermal discs. Previous work on low-mass planets generally kept the planet on a fixed orbit, after which the torque on the planet was measured. In addition to these static…

Earth and Planetary Astrophysics · Physics 2015-06-22 Sijme-Jan Paardekooper

I derive a fully analytic expression for the linear corotation torque to first order in eccentricity for planets in non-barotropic protoplanetary disks, taking into account the effect of disk entropy gradients. This torque formula is…

Earth and Planetary Astrophysics · Physics 2015-06-17 David Tsang

We study the effects of diffusion on the non-linear corotation torque, or horseshoe drag, in the two-dimensional limit, focusing on low-mass planets for which the width of the horseshoe region is much smaller than the scale height of the…

Earth and Planetary Astrophysics · Physics 2015-05-19 S. -J. Paardekooper , C. Baruteau , W. Kley

We examine the migration of low mass planets in laminar protoplanetary discs, threaded by large scale magnetic fields in the dead zone that drive radial gas flows. As shown in Paper I, a dynamical corotation torque arises due to the…

Earth and Planetary Astrophysics · Physics 2018-04-17 Colin P. McNally , Richard P. Nelson , Sijme-Jan Paardekooper

We determine an expression for the Type I planet migration torque involving a locally isothermal disk, with moderate turbulent viscosity (~0.0005 < alpha < ~0.05), based on three-dimensional nonlinear hydrodynamical simulations. The radial…

Earth and Planetary Astrophysics · Physics 2016-06-20 Gennaro D'Angelo , Stephen H. Lubow

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…

Earth and Planetary Astrophysics · Physics 2015-06-05 K. Yamada , S. Inaba

The migration of a planet through a gaseous disc causes the locations of their resonant interactions to drift and can alter the torques exerted between the planet and the disc. We analyse the time-dependent dynamics of a non-coorbital…

Astrophysics · Physics 2009-11-11 G. I. Ogilvie , S. H. Lubow

Planet migration is inherently a three-dimensional (3D) problem, because Earth-size planetary cores are deeply embedded in protoplanetary disks. Simulations of these 3D disks remain challenging due to the steep requirement in resolution.…

Earth and Planetary Astrophysics · Physics 2017-03-08 Jeffrey Fung , Frederic Masset , Elena Lega , David Velasco

Using linear perturbation theory, we investigate the torque exerted on a low-mass planet embedded in a gaseous protoplanetary disc with finite thermal diffusivity. When the planet does not release energy into the ambient disc, the main…

Earth and Planetary Astrophysics · Physics 2017-10-18 Frederic S. Masset

The dynamical corotation torque arising from the deformation of the horseshoe orbits, along with the vortensity gradient in the background disk, is important for determining orbital migration rate and direction of low-mass planets. Previous…

Earth and Planetary Astrophysics · Physics 2022-10-26 Han-Gyeol Yun , Woong-Tae Kim , Jaehan Bae , Cheongho Han

(Abridged) We present global disc and local shearing box simulations of planets interacting with a MHD turbulent disc. We examine the torque exerted by the disc on the embedded planets as a function of planet mass, and thus make a first…

Astrophysics · Physics 2008-11-26 Richard P. Nelson , John C. B. Papaloizou

Recent developments in non-ideal magnetohydrodynamic simulations of protoplanetary disks suggest that instead of being traditional turbulent (viscous) accretion disks, they have a largely laminar flow with accretion driven by large-scale…

Earth and Planetary Astrophysics · Physics 2018-06-27 Colin P. McNally , Richard P. Nelson , Sijme-Jan Paardekooper , Oliver Gressel , Wladimir Lyra

While planets in the solar system only have a low inclination with respect to the ecliptic there is mounting evidence that in extrasolar systems the inclination can be very high, at least for close-in planets. One process to alter the…

Earth and Planetary Astrophysics · Physics 2014-01-09 Bertram Bitsch , Willy Kley

The increase of computational resources has recently allowed high resolution, three dimensional calculations of planets embedded in gaseous protoplanetary disks. They provide estimates of the planet migration timescale that can be compared…

Astrophysics · Physics 2011-02-11 F. S. Masset , G. D'Angelo , W. Kley