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This paper explores the driving of low-level hydrodynamical activity in protoplanetary-disc dead zones. A small adverse radial entropy gradient, ordinarily stabilised by rotation, excites oscillatory convection (`convective overstability')…

Earth and Planetary Astrophysics · Physics 2015-12-02 Henrik Latter

We study the evolution of the eccentricity and inclination of protoplanetary embryos and low-mass protoplanets (from a fraction of an Earth mass to a few Earth masses) embedded in a protoplanetary disc, by means of three dimensional…

Earth and Planetary Astrophysics · Physics 2017-07-03 Henrik Eklund , Frédéric S. Masset

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 interaction of a proto-planetary disk and a planet on a highly inclined orbit in the linear regime. The evolution of the planet is dominated by dynamical friction for planet masses above several Earth-masses. Smaller planets…

Earth and Planetary Astrophysics · Physics 2012-05-23 Hanno Rein

We aim to develop a simple prescription for migration and accretion in 1D disc models, calibrated with results of 3D hydrodynamic simulations. Our focus lies on non-self-gravitating discs, but we also discuss to what degree our prescription…

Earth and Planetary Astrophysics · Physics 2022-11-28 Oliver Schib , Christoph Mordasini , Ravit Helled

Using 2D MHD numerical simulations performed with two different finite difference Eulerian codes, we analyze the effect that a toroidal magnetic field has on low mass planet migration in nonturbulent protoplanetary discs. The presence of…

Astrophysics · Physics 2009-11-13 Sebastien Fromang , Caroline Terquem , Richard P. Nelson

During planet formation gravitational interaction between a planetary embryo and the protoplanetary gas disc causes orbital migration of the planetary embryo, which plays an important role in shaping the final planetary system. While…

Earth and Planetary Astrophysics · Physics 2020-05-13 Shigeru Ida , Takayuki Muto , Soko Matsumura , Ramon Brasser

Modelling the gravitational interaction between an eccentric perturber and a differentially shearing gas disc is a longstanding problem with various astrophysical applications, ranging from the evolution of planetary systems to the…

Earth and Planetary Astrophysics · Physics 2025-09-24 Callum W. Fairbairn , Alexander J. Dittmann

We formulate a set of linear equations that describe the behaviour of small eccentricities in a protoplanetary system consisting of a gaseous disc and a planet. Eccentricity propagates through the disc by means of pressure and self-gravity,…

Earth and Planetary Astrophysics · Physics 2016-03-23 Jean Teyssandier , Gordon I. Ogilvie

Spiral density waves observed in protoplanetary discs have often been used to infer the presence of embedded planets. This inference relies both on simulations as well as the linear theory of planet-disc interaction developed for planets on…

Earth and Planetary Astrophysics · Physics 2022-10-12 Callum W. Fairbairn , Roman R. Rafikov

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

Protoplanetary discs may become dynamically unstable due to structure induced by an embedded giant planet. In this thesis, I discuss the stability of such systems and explore the consequence of instability on planetary migration. I begin…

Earth and Planetary Astrophysics · Physics 2012-03-23 Min-Kai Lin

Gravitational coupling between protoplanetary discs and planets embedded in them leads to the emergence of spiral density waves, which evolve into shocks as they propagate through the disc. We explore the performance of a semi-analytical…

Earth and Planetary Astrophysics · Physics 2021-09-22 Nicolas P. Cimerman , Roman R. Rafikov

We investigate the gravitational interaction between low- to intermediate-mass planets ($M_p \in[0.06-210]\,M_{\oplus}$) and two previously formed pressure bumps in a gas-dust protoplanetary disc. We explore how the disc structure changes…

Earth and Planetary Astrophysics · Physics 2022-03-14 R. O. Chametla , O. Chrenko

We consider two protoplanets gravitationally interacting with each other and a protoplanetary disc. The two planets orbit interior to a tidally maintained disc cavity while the disc interaction indices inward migration. When the migration…

Astrophysics · Physics 2009-11-06 M. D. Snellgrove , J. C. B. Papaloizou , R. P. Nelson

Disk solids are critical in many planet formation processes, however, their effect on planet migration remains largely unexplored. Here we assess for the first time this important issue by building on the systematic measurements of dust…

Earth and Planetary Astrophysics · Physics 2023-08-16 Octavio M. Guilera , Pablo Benitez-Llambay , Marcelo M. Miller Bertolami , Martin E. Pessah

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

We present the results of hydrodynamical simulations of low mass protoplanets embedded in circumbinary accretion disks. The aim is to examine the migration and long term orbital evolution of the protoplanets, in order to establish the…

Astrophysics · Physics 2009-11-13 Arnaud Pierens , Richard P. Nelson

[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…

Astrophysics · Physics 2007-05-23 F. Masset , A. Morbidelli , A. Crida , J. Ferreira

Disc winds and planet-disc interactions are two crucial mechanisms that define the structure, evolution and dispersal of protoplanetary discs. While winds are capable of removing material from discs, eventually leading to their dispersal,…

Earth and Planetary Astrophysics · Physics 2024-05-29 Michael L. Weber , Giovanni Picogna , Barbara Ercolano
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