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(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

We perform numerical simulations of purely repulsive soft colloidal particles interacting via a generalized elastic potential and constrained to a two-dimensional plane and to the surface of a spherical shell. For the planar case, we…

Soft Condensed Matter · Physics 2011-06-16 William L. Miller , Angelo Cacciuto

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

To mimic protoplanetary discs (PPDs) evolution, 2D simulations with self-gravity must introduce a softening prescription of the gravitational potential. When the disc is only made of gas the smoothing length is proportional to the gas scale…

Earth and Planetary Astrophysics · Physics 2023-07-12 Steven Rendon Restrepo , Pierre Barge

Circumplanetary disks (CPDs) may be essential to the formation of planets, regulating their spin and accretion evolution. We perform a series of 3D hydrodynamics simulations in both the isothermal and adiabatic limits to systematically…

Earth and Planetary Astrophysics · Physics 2020-01-08 Jeffrey Fung , Zhaohuan Zhu , Eugene Chiang

In a previous paper we showed that, like the migration speed, the eccentricity damping efficiency is modulated linearly by the depth of the partial gap a planet carves in the disk surface density profile, resulting in less efficient…

Earth and Planetary Astrophysics · Physics 2024-04-04 Gabriele Pichierri , Bertram Bitsch , Elena Lega

As planets form and grow within gaseous protoplanetary disks, the mutual gravitational interaction between the disk and planet leads to the exchange of angular momentum, and migration of the planet. We review current understanding of…

Earth and Planetary Astrophysics · Physics 2015-06-04 W. Kley , R. P. Nelson

The Gravitational Instability (GI) is a leading theory for explaining early planet formation in massive discs. In the early 2010s, 3D SPH simulations of GI failed to converge, initially attributed to resolution-dependent viscosity but later…

Earth and Planetary Astrophysics · Physics 2026-05-14 S. Rendon Restrepo

An interaction between a star-disc system and another star will perturb the disc, possibly resulting in a significant modification of the disc structure and its properties. It is still unclear if such an encounter can trigger fragmentation…

Solar and Stellar Astrophysics · Physics 2015-05-14 Duncan Forgan , Ken Rice

We hypothesise that dust rings in protoplanetary discs formed by an embedded planet should have properties that reflect the planet's mass. We use 2D hydrodynamical simulations of planet-disc interactions to investigate this, focusing on…

Earth and Planetary Astrophysics · Physics 2026-05-28 Amena Faruqi , Jessica Speedie , Ralph E. Pudritz , Farzana Meru

Two dimensional particle disks in proximity to a planet are numerically integrated to determine when a planet in a circular orbit can truncate a particle disk. Collisions are treated by giving each particle a series of velocity…

Astrophysics · Physics 2008-11-26 Alice C. Quillen

We carry out three-dimensional hydrodynamical simulations to study planet-disc interactions for inclined high mass planets, focusing on the disc's secular evolution induced by the planet. We find that, when the planet is massive enough and…

Earth and Planetary Astrophysics · Physics 2018-12-19 Zhaohuan Zhu

Observations show evidence that a significant fraction of protoplanetary disks contain warps. A warp in a disk evolves in time affecting the appearance of shadows and greatly influencing kinematic signatures. So far, many theoretical…

Solar and Stellar Astrophysics · Physics 2024-09-04 C. N. Kimmig , C. P. Dullemond

We study the time evolution of two protoplanets still embedded in a protoplanetary disk. The results of two different numerical approaches are presented and compared. In the first approach, the motion of the disk material is computed with…

Astrophysics · Physics 2009-11-10 Wilhelm Kley , Jochen Peitz , Geoffrey Bryden

This study uses numerical hydrodynamics calculations and a novel method for densely sampling parameter space to measure the precise shape of a gap opened by a planet in a gaseous disk, as a function of planet-to-star mass ratio, disk Mach…

Earth and Planetary Astrophysics · Physics 2020-02-05 Paul C. Duffell

During the process of planet formation, the planet-discs interactions might excite (or damp) the orbital eccentricity of the planet. In this paper, we present two long ($t\sim 3\times 10^5$ orbits) numerical simulations: (a) one (with a…

Earth and Planetary Astrophysics · Physics 2025-05-19 Enrico Ragusa , Giovanni Rosotti , Jean Teyssandier , Richard Booth , Cathie J. Clarke , Giuseppe Lodato

It is known that gap opening depends on the disc's viscosity; however, eccentricity damping formulas have only been derived at high viscosities, ignoring partial gap opening. We aim at obtaining a simple formula to model $e$-damping of the…

Earth and Planetary Astrophysics · Physics 2023-02-22 Gabriele Pichierri , Bertram Bitsch , Elena Lega

The evolution of circumbinary discs and planets is often studied using two-dimensional (2D) numerical simulations, although recent work suggests that 3D effects may significantly alter the structure of the inner cavity created by the…

Earth and Planetary Astrophysics · Physics 2023-02-22 Arnaud Pierens , Richard Nelson

In weakly ionized discs turbulence can be generated through the vertical shear instability (VSI). Embedded planets feel a stochastic component in the torques acting on them which can impact their migration. In this work we study the…

Earth and Planetary Astrophysics · Physics 2017-08-02 Moritz Stoll , Giovanni Picogna , Wilhelm Kley

In the Solar System, planets have a small inclination with respect to the equatorial plane of the Sun, but there is evidence that in extrasolar systems the inclination can be very high. This spin-orbit misalignment is unexpected, as planets…

Earth and Planetary Astrophysics · Physics 2014-01-09 Bertram Bitsch , Aurélien Crida , Anne-Sophie Libert , Elena Lega