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The migration of planets on nearly circular, non-inclined orbits in protoplanetary discs is entirely described by the disc's torque. This torque is a complex function of the disc parameters, and essentially amounts to the sum of two…

地球与行星天体物理 · 物理学 2017-09-06 María Alejandra Jiménez , Frédéric S. Masset

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,…

地球与行星天体物理 · 物理学 2015-05-14 S. Paardekooper , C. Baruteau , A. Crida , W. Kley

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…

地球与行星天体物理 · 物理学 2016-06-20 Gennaro D'Angelo , Stephen H. Lubow

We provide torque formulae for low mass planets undergoing type I migration in gaseous disks. These torque formulae put special emphasis on the horseshoe drag, which is prone to saturation: the asymptotic value reached by the horseshoe drag…

地球与行星天体物理 · 物理学 2010-10-28 Frederic S. Masset , Jules Casoli

Aims: We investigate the effect of including a proper energy balance on the interaction of a low-mass planet with a protoplanetary disk. Methods: We use a three-dimensional version of the RODEO method to perform hydrodynamical simulations…

天体物理学 · 物理学 2009-11-11 S. -J. Paardekooper , G. Mellema

Low-mass objects embedded in isothermal protoplanetary discs are known to suffer rapid inward Type I migration. In non-isothermal discs, recent work has shown that a decreasing radial profile of the disc entropy can lead to a strong…

地球与行星天体物理 · 物理学 2015-06-11 A. Pierens , C. Baruteau , F. Hersant

We investigate the tidal interaction between a low-mass planet and a self-gravitating protoplanetary disk, by means of two-dimensional hydrodynamic simulations. We first show that considering a planet freely migrating in a disk without…

天体物理学 · 物理学 2009-11-13 C. Baruteau , F. Masset

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…

地球与行星天体物理 · 物理学 2024-04-22 Hidekazu Tanaka , Kohei Okada

Low-mass planets are known to undergo Type I migration and this process must have played a key role during the evolution of planetary systems. Analytical formulae for the disc torque have been derived assuming that the planet evolves on a…

地球与行星天体物理 · 物理学 2015-10-21 Arnaud Pierens

[Abridged] The tidal torque exerted by a protoplanetary disk with power law surface density and temperature profiles onto an embedded protoplanetary embryo is generally a negative quantity that leads to the embryo inwards migration. Here we…

天体物理学 · 物理学 2007-05-23 F. Masset , A. Morbidelli , A. Crida , J. Ferreira

Population synthesis studies into planet formation have suggested that distributions consistent with observations can only be reproduced if the actual Type I migration timescale is at least an order of magnitude longer than that deduced…

地球与行星天体物理 · 物理学 2016-04-15 Takanori Sasaki , Toshikazu Ebisuzaki

The migration of low-mass planets is driven by the differential Lindblad torque and the corotation torque in non-magnetic viscous models of protoplanetary discs. The corotation torque has recently received detailed attention as it may slow…

地球与行星天体物理 · 物理学 2015-05-28 C. Baruteau , S. Fromang , R. P. Nelson , F. Masset

[Abridged] The migration of low mass planets has been studied in hydrodynamical disc models for more than three decades, but the impact of a magnetic field in the protoplanetary disc is less known. When the disc's magnetic field is strong…

地球与行星天体物理 · 物理学 2013-06-19 Jerome Guilet , Clement Baruteau , John C. B. Papaloizou

As planets form they tidally interact with their natal disks. Though the tidal perturbation induced by Earth and super-Earth mass planets is generally too weak to significantly modify the structure of the disk, the interaction is…

地球与行星天体物理 · 物理学 2015-06-05 Katherine A. Kretke , D. N. C. Lin

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…

天体物理学 · 物理学 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…

地球与行星天体物理 · 物理学 2025-07-04 Jesse Weder , Clément Baruteau , Christoph Mordasini

By performing global hydrodynamical simulations of accretion discs with driven turbulence models, we demonstrate that elevated levels of turbulence induce highly stochastic migration torques on low-mass companions embedded in these discs.…

地球与行星天体物理 · 物理学 2023-11-30 Yinhao Wu , Yi-Xian Chen , Douglas N. C. Lin

We study Type I migration of a planet in a radiatively efficient disk using global two dimensional hydrodynamic simulations. The large positive corotation torque is exerted on a planet by an adiabatic disk at early times when the disk has…

地球与行星天体物理 · 物理学 2015-05-20 K. Yamada , S. Inaba

We evaluate the coorbital corotation torque on a planet on a fixed circular orbit embedded in a viscous protoplanetary disk, for the case of a steady flow in the planet frame. This torque can be evaluated just from the flow properties at…

天体物理学 · 物理学 2009-11-07 F. S. Masset

We present detailed estimates of ''type-I'' migration rates for low-mass proto-planets embedded in steady-state T-Tauri alpha-disks, based on Lindblad torque calculations ignoring feedback on the disk. Differences in migration rates for…

天体物理学 · 物理学 2009-11-10 Kristen Menou , Jeremy Goodman
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