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Related papers: Horseshoes and spiral waves: capturing the 3D flow…

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We evaluate the horseshoe drag exerted on a low-mass planet embedded in a gaseous disk, assuming the disk's flow in the coorbital region to be adiabatic. We restrict this analysis to the case of a planet on a circular orbit, and we assume a…

Earth and Planetary Astrophysics · Physics 2015-05-13 F. S. Masset , J. Casoli

3D modifications to the well-studied 2D flow topology around an embedded planet have the potential to resolve long-standing problems in planet formation theory. We present a detailed analysis of the 3D isothermal flow field around a 5…

Earth and Planetary Astrophysics · Physics 2015-09-30 Jeffrey Fung , Pawel Artymowicz , Yanqin Wu

We present simulations of low-mass planet--disc interactions in inviscid three-dimensional discs. We show that a wind-driven laminar accretion flow through the surface layers of the disc does not significantly modify the migration torque…

Earth and Planetary Astrophysics · Physics 2020-03-17 Colin P. McNally , Richard P. Nelson , Sijme-Jan Paardekooper , Pablo Benitez-Llambay , Oliver Gressel

The pebble accretion model has the potential to explain the formation of various types of planets. A growing planet embedded in a disk induces three-dimensional (3D) gas flow, which may influence pebble accretion. In this study, we…

Earth and Planetary Astrophysics · Physics 2020-01-15 Ayumu Kuwahara , Hiroyuki Kurokawa

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,…

Earth and Planetary Astrophysics · Physics 2015-05-14 S. Paardekooper , C. Baruteau , A. Crida , W. Kley

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

We study the coorbital flow for embedded, low mass planets. We provide a simple semi-analytic model for the corotation region, which is subsequently compared to high resolution numerical simulations. The model is used to derive an…

Earth and Planetary Astrophysics · Physics 2009-11-13 S. -J. Paardekooper , J. C. B. Papaloizou

In order to reproduce the statistical properties of the observed exoplanets, population synthesis models have shown that the migration of protoplanets should be significantly slowed down, and that processes stalling migration should be at…

Earth and Planetary Astrophysics · Physics 2014-11-20 C. Baruteau , D. N. C. Lin

Recent observations of gaps and non-axisymmetric features in the dust distributions of transition disks have been interpreted as evidence of embedded massive protoplanets. However, comparing the predictions of planet-disk interaction models…

Earth and Planetary Astrophysics · Physics 2015-09-16 Alexander J. W. Richert , Wladimir Lyra , Aaron Boley , Mordecai-Mark Mac Low , Neal Turner

We investigate the unsaturated horseshoe drag exerted on a low-mass planet by an isothermal gaseous disk. In the globally isothermal case, we use a formal- ism, based on the use of a Bernoulli invariant, that takes into account pressure…

Earth and Planetary Astrophysics · Physics 2015-05-13 J. Casoli , F. S. Masset

We carry out local three dimensional (3D) hydrodynamic simulations of planet-disk interaction in stratified disks with varied thermodynamic properties. We find that whenever the Brunt-Vaisala frequency (N) in the disk is nonzero, the planet…

Earth and Planetary Astrophysics · Physics 2015-06-11 Zhaohuan Zhu , James M. Stone , Roman R. Rafikov

Hydrodynamic simulations of protoplanetary discs with planets typically assume that the disc is viscously driven, even though magnetic disc winds are now considered the primary driver of angular momentum transport through the disc. Magnetic…

Earth and Planetary Astrophysics · Physics 2025-05-14 Michael Hammer , Min-Kai Lin

Planet--disc interactions, despite being fundamentally three-dimensional, are often studied in the two-dimensional `thin-disk' approximation. The overall morphology of planet--disc interactions has ben shown to be similar in both 2D and 3D…

Earth and Planetary Astrophysics · Physics 2025-10-29 Amelia J. Cordwell , Alexandros Ziampras , Joshua J. Brown , Roman R. Rafikov

We study the horseshoe dynamics of a low-mass planet in a three-dimensional, globally isothermal, inviscid disk. We find, as reported in previous work, that the boundaries of the horseshoe region (separatrix sheets) have cylindrical…

Earth and Planetary Astrophysics · Physics 2016-01-27 Frédéric Masset , Pablo Benítez-Llambay

Embedded planets disturb the density structure of the ambient disk and gravitational back-reaction will induce possibly a change in the planet's orbital elements. The accurate determination of the forces acting on the planet requires…

Earth and Planetary Astrophysics · Physics 2015-06-11 Wilhelm Kley , Tobias W. A. Mueller , Stefan M. Kolb , Pablo Benitez-Llambay , Frederic Masset

Recent high-resolution, near-infrared images of protoplanetary disks have shown that these disks often present spiral features. Spiral arms are among the structures predicted decades ago by numerical simulations of disk-planet interaction…

Earth and Planetary Astrophysics · Physics 2016-02-03 Wladimir Lyra , Alexander J. W. Richert , Aaron Boley , Neal Turner , Mordecai-Mark Mac Low , Satoshi Okuzumi , Mario Flock

Planet-disk interactions can produce kinematic signatures in protoplanetary disks. While recent observations have detected non-Keplerian gas motions in disks, their origins are still being debated. To explore this, we conduct 3D…

Earth and Planetary Astrophysics · Physics 2024-10-10 Kan Chen , Ruobing Dong

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…

Earth and Planetary Astrophysics · Physics 2015-05-28 C. Baruteau , S. Fromang , R. P. Nelson , F. 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
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