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Related papers: On the saturation of corotation resonances: a nume…

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Zhu, Stone, and Rafikov (2012) found in 3D shearing box simulations a new form of planet-disk interaction that they attributed to a vertical buoyancy resonance in the disk. We describe an analytic linear model for this interaction. We adopt…

Earth and Planetary Astrophysics · Physics 2015-06-18 Stephen H. Lubow , Zhaohuan Zhu

We present a fully relativistic computation of the torques due to Lindblad resonances from perturbers on circular, equatorial orbits on discs around Schwarzschild and Kerr black holes. The computation proceeds by establishing a relation…

High Energy Astrophysical Phenomena · Physics 2015-05-20 Christopher M. Hirata

We give an expression for the Lindblad torque acting on a low-mass planet embedded in a protoplanetary disk that is valid even at locations where the surface density or temperature profile cannot be approximated by a power law, such as an…

Earth and Planetary Astrophysics · Physics 2012-06-14 F. S. Masset

We study the excitation of density and bending waves and the associated angular momentum transfer in gaseous disks with finite thickness by a rotating external potential. The disk is assumed to be isothermal in the vertical direction and…

Astrophysics · Physics 2009-11-11 Hang Zhang , Dong Lai

The dynamics of the inner disk of many galaxies is dominated by bars. As a result, resonances between the bar and the disk become an important factor. In order to detect resonances, we measure angular and radial frequencies of individual…

Astrophysics · Physics 2007-05-23 Daniel Ceverino , Anatoly Klypin

We calculate the linear torque exerted by a planet on a circular orbit on a disc containing a toroidal magnetic field. All fluid perturbations are singular at the so--called magnetic resonances, where the Doppler shifted frequency of the…

Astrophysics · Physics 2009-11-07 Caroline E. J. M. L. J. Terquem

Motivated by models suggesting that the inner planet forming regions of protoplanetary discs are predominantly lacking in viscosity-inducing turbulence, and are possibly threaded by Hall-effect generated large-scale horizontal magnetic…

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

We present two-dimensional inviscid hydrodynamic simulations of a protoplanetary disk with an embedded planet, emphasizing the evolution of potential vorticity (the ratio of vorticity to density) and its dependence on numerical resolutions.…

Astrophysics · Physics 2009-11-10 H. Li , S. Li , J. Koller , B. Wendroff , R. Liska , C. Orban , E. Liang , D. Lin

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

Numerical hydrodynamics calculations are performed to determine conditions under which giant planet eccentricities can be excited by parent gas disks. Unlike in other studies, Jupiter-mass planets are found to have their eccentricities…

Earth and Planetary Astrophysics · Physics 2015-10-21 Paul C. Duffell , Eugene Chiang

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

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

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…

Earth and Planetary Astrophysics · Physics 2010-10-28 Frederic S. Masset , Jules Casoli

Context. The origin of giant planets at moderate separations $\simeq$$1$$-$$10$ au is still not fully understood because numerical studies of Type II migration in protoplanetary disks often predict a decay of the semi-major axis that is too…

Earth and Planetary Astrophysics · Physics 2020-10-28 Ondřej Chrenko , David Nesvorný

The observed orbits of extrasolar planets suggest that many giant planets migrate a considerable distance towards their parent star as a result of interactions with the protoplanetary disk, and that some of these planets become trapped in…

Astrophysics · Physics 2009-11-10 Edward W. Thommes , Jack J. Lissauer

This paper concerns the interaction between non-axisymmetric inertial waves and their corotation resonances in a hydrodynamical disk. Inertial waves are of interest because they can localise in resonant cavities circumscribed by Lindblad…

High Energy Astrophysical Phenomena · Physics 2010-11-02 Henrik Latter , Steven Balbus

We carry out hydrodynamical simulations to study the eccentricity growth of a 1-30 Jupiter mass planet located inside the fixed cavity of a protoplanetary disc. The planet exchanges energy and angular momentum with the disc at resonant…

Earth and Planetary Astrophysics · Physics 2023-06-14 Marina M. Romanova , Alexander V. Koldoba , Galina V. Ustyugova , Dong Lai , Richard V. E. Lovelace

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

We present new results related to the coupled evolution of a two giant planet system embedded in a protoplanetary disk, in which a Saturn mass protoplanet is trapped in an outer mean motion resonance with a Jupiter mass protoplanet. The…

Astrophysics · Physics 2007-05-23 F. Masset , M. Snellgrove

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