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In 2D simulations of thin gaseous disks with embedded planets or self-gravity the gravitational potential needs to be smoothed to avoid singularities in the numerical evaluation of the gravitational potential or force. In order to correctly…

Earth and Planetary Astrophysics · Physics 2012-05-14 T. W. A. Müller , W. Kley , F. Meru

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

The ring and gap structures found in observed protoplanetary disks are often attributed to embedded gap-opening planets and typically modeled with simplified thermodynamics in the 2D, thin disk approximation. However, it has been shown that…

Earth and Planetary Astrophysics · Physics 2026-01-28 Alexandros Ziampras , Amelia J. Cordwell , Roman R. Rafikov , Richard P. Nelson

We present three-dimensional self-gravitating smoothed-particle hydrodynamics (SPH) simulations of an isothermal gaseous disc interacting with an embedded planet. Discs of varying stability are simulated with planets ranging from 10…

Astrophysics · Physics 2008-11-26 Graeme Lufkin , Thomas Quinn , James Wadsley , Joachim Stadel , Fabio Governato

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

Planet-disk interactions, where an embedded massive body interacts gravitationally with the protoplanetary disk it was formed in, can play an important role in reshaping both the disk and the orbit of the planet. Spiral density waves are…

Earth and Planetary Astrophysics · Physics 2022-11-09 Sijme-Jan Paardekooper , Ruobing Dong , Paul Duffell , Jeffrey Fung , Frederic S. Masset , Gordon Ogilvie , Hidekazu Tanaka

The gravitational interaction between a protoplanetary disc and planetary sized bodies that form within it leads to the exchange of angular momentum, resulting in migration of the planets and possible gap formation in the disc for more…

Earth and Planetary Astrophysics · Physics 2009-06-25 Richard P. Nelson Sijme-Jan Paardekooper

We present high resolution 3-D simulations of the planet-disc interaction using smoothed particle hydrodynamics, to investigate the possibility of driving eccentricity growth by this mechanism. For models with a given disc viscosity (\alpha…

Earth and Planetary Astrophysics · Physics 2015-06-11 Alex Dunhill , Richard Alexander , Phil Armitage

Numerical simulations of planet-disk interactions are usually performed with hydro-codes that -- because they consider only an annulus of the disk, over a 2D grid -- can not take into account the global evolution of the disk. However, the…

Astrophysics · Physics 2008-11-26 A. Crida , A. Morbidelli , F. Masset

Giant planets can clear deep gaps when embedded in 2D (razor-thin) viscous circumstellar disks. We show by direct simulation that giant planets are just as capable of carving out gaps in 3D. Surface density maps are similar between 2D and…

Earth and Planetary Astrophysics · Physics 2016-12-07 Jeffrey Fung , Eugene Chiang

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

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

Observational manifestations of disturbances in a protoplanetary disk caused by a collision with a massive planet are studied. It is assumed that the planet moves along a parabolic trajectory that intersects the disk plane near the star.…

Earth and Planetary Astrophysics · Physics 2025-07-01 Tatiana Demidova , Vitaliy Grigoryev

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

Planet evolution is tightly connected to the dynamics of both distant and close disk material. Hence, an appropriate description of disk-planet interaction requires global and high resolution computations, which we accomplish by applying a…

Astrophysics · Physics 2007-05-23 G. D'Angelo , W. Kley , Th. Henning

Two questions that naturally arise in N-body simulations of stellar systems are: (1) How can we compare experiments that employ different types of softened gravity? (2) Given a particular type of softened gravity, which choices of the…

Astrophysics · Physics 2007-05-23 Alessandro B. Romeo

Gravitational coupling between young planets and their parent disks is often explored using numerical simulations, which typically treat the disk thermodynamics in a highly simplified manner. In particular, many studies adopt the locally…

Earth and Planetary Astrophysics · Physics 2020-04-08 Ryan Miranda , Roman R. Rafikov

Gravitational coupling between a protoplanetary disc and an embedded planet is often studied in a frame attached to a central star. This frame is non-inertial because of the stellar reflex motion, leading to indirect forces arising in the…

Earth and Planetary Astrophysics · Physics 2026-04-15 Roman R. Rafikov , Nicolas P. Cimerman , Callum W. Fairbairn , Alexander J. Dittmann

Compact analytical forms are derived for the interactions involving thin disks in two dimensions using an integration approach. These include interactions between a disk and a material point, between two disks, and between a disk and a…

Soft Condensed Matter · Physics 2025-11-27 Binghan Liu , Junwen Wang , Gary S. Grest , Shengfeng Cheng

Models of planet-disk interaction are mainly based on 2D and 3D viscous hydrodynamical simulations. Accretion is classically prescribed by an alpha parameter which characterizes the turbulent radial transport of angular momentum (AM) in the…

Solar and Stellar Astrophysics · Physics 2023-05-22 Gaylor Wafflard-Fernandez , Geoffroy Lesur
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