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The differential migration of two planets due to planet-disk interaction can result in capture into the 2:1 eccentricity-type mean-motion resonances. Both the sequence of 2:1 eccentricity resonances that the system is driven through by…

Earth and Planetary Astrophysics · Physics 2015-05-13 Man Hoi Lee , Edward W. Thommes

We present a theoretical framework for investigating a two-planet system undergoing convergent type I migration in a protoplanetary disk. Our study identifies the conditions for resonant capture and subsequent dynamical stability. By…

Earth and Planetary Astrophysics · Physics 2025-10-22 Linghong Lin , Beibei Liu , Zekai Zheng

Massive planets form within the lifetime of protoplanetary disks and undergo orbital migration due to planet-disk interactions. When the first planet reaches the inner edge of the disk its migration stops and the second planet is locked in…

Earth and Planetary Astrophysics · Physics 2018-08-27 Gabriele Pichierri , Alessandro Morbidelli , Aurélien Crida

We have performed three-dimensional two-fluid (gas-dust) hydrodynamical models of circumstellar discs with embedded protoplanets (3 - 333 M\oplu) and small solid bodies (radii 10cm to 10m). We find that high mass planets (\gtrsim Saturn…

Earth and Planetary Astrophysics · Physics 2015-06-04 Ben A. Ayliffe , Guillaume Laibe , Daniel J. Price , Matthew R. Bate

We investigate the gravitational interaction of a Jovian mass protoplanet with a gaseous disc with aspect ratio and kinematic viscosity expected for the protoplanetary disc from which it formed. Different disc surface density distributions…

Astrophysics · Physics 2015-06-24 Richard P. Nelson , John C. B. Papaloizou , F. Masset , Willy Kley

Transition disks form a special class of protoplanetary disks that are characterized by a deficiency of disk material close to the star. In a subgroup, inner holes in these disks can stretch out to a few tens of au while there is still mass…

Earth and Planetary Astrophysics · Physics 2020-11-11 Thomas Rometsch , Peter J. Rodenkirch , Wilhelm Kley , Cornelis P. Dullemond

We study the possibility that the mutual interactions between Jupiter and Saturn prevented Type II migration from driving these planets much closer to the Sun. Our work extends previous results by Masset and Snellgrove (2001), by exploring…

Astrophysics · Physics 2007-05-23 Morbidelli Alessandro , Aurelien Crida

We carry out a series of high resolution ($1024\times 1024$) hydrodynamical simulations to investigate the orbital evolution of Jupiter and Saturn embedded in a gaseous protostellar disk. Our work extends the results in the classical papers…

Earth and Planetary Astrophysics · Physics 2015-05-18 Hui Zhang , Ji-Lin Zhou

We carry out a series of high-resolution (1024 X 1024) hydrodynamic simulations to investigate the orbital evolution of a Saturn-Jupiter pair embedded in a gaseous disk. This work extends the results of our previous work by exploring a…

Earth and Planetary Astrophysics · Physics 2015-05-19 Hui Zhang , Ji-Lin Zhou

Young planets interact with their parent gas disks through tidal torques. An imbalance between inner and outer torques causes bodies of mass $\ga 0.1$ Earth masses to lose angular momentum and migrate inward rapidly relative to the disk;…

Astrophysics · Physics 2009-11-10 Edward W. Thommes

Firstly, we study the final masses of giant planets growing in protoplanetary disks through capture of disk gas, by employing an empirical formula for the gas capture rate and a shallow disk gap model, which are both based on hydrodynamical…

Earth and Planetary Astrophysics · Physics 2016-06-01 Takayuki Tanigawa , Hidekazu Tanaka

We examine the eccentricity evolution of a system of two planets locked in a mean motion resonance, in which the outer planet loses energy and angular momentum. The sink of energy and angular momentum could be either a gas or planetesimal…

Astrophysics · Physics 2009-11-06 N. Murray , M. Paskowitz , M. Holman

We study the dynamics of a system of two super-Earths embedded in a protoplanetary disc. We build a simple model of an irradiated viscous disc and use analytical prescriptions for the planet-disc interactions which lead to migration. We…

Earth and Planetary Astrophysics · Physics 2015-09-09 Cezary Migaszewski

We study the formation of the 9:7 mean motion resonance in a system of two low-mass planets ($m_{1}=m_{2}=3M_{\oplus}$) embedded in a gaseous protoplanetary disk employing a full 2D hydrodynamic treatment of the disk-planet interactions.…

Earth and Planetary Astrophysics · Physics 2019-02-20 Zijia Cui , John C. B. Papaloizou , Ewa Szuszkiewicz

A commonly noted feature of the population of multi-planet extrasolar systems is the rarity of planet pairs in low-order mean-motion resonances. We revisit the physics of resonance capture via convergent disk-driven migration. We point out…

Earth and Planetary Astrophysics · Physics 2017-05-02 Margaret Pan , Hilke E. Schlichting

Context: In the early evolution of a planetary system, a pair of planets may be captured in a mean motion resonance while still embedded in their nesting circumstellar disk. Aims: The goal is to estimate the direction and amount of shift in…

Earth and Planetary Astrophysics · Physics 2018-03-21 F. Marzari

We study the dynamical evolution of Jupiter and Saturn embedded in a gaseous, solar-nebula-type disc by means of hydrodynamics simulations with the FARGO2D1D code. We study the evolution for different initial separations of the planets'…

Earth and Planetary Astrophysics · Physics 2020-02-05 Raul O. Chametla , Gennaro D'Angelo , Mauricio Reyes-Ruiz , F. Javier Sanchez-Salcedo

We study the evolution of a system consisting of two protoplanets still embedded in a protoplanetary disk. Results of two different numerical approaches are presented. In the first kind of model the motion of the disk material is followed…

Astrophysics · Physics 2023-07-19 Willy Kley

We analyze the orbital and mass evolution of planets that undergo run-away gas accretion by means of 2D and 3D hydrodynamic simulations. The disk torque distribution per unit disk mass as a function of radius provides an important…

Astrophysics · Physics 2008-09-18 Gennaro D'Angelo , Stephen H. Lubow

The early stages of dynamical evolution of planetary systems are often shaped by dissipative processes that drive orbital migration. In multi-planet systems, convergent amassing of orbits inevitably leads to encounters with rational period…

Earth and Planetary Astrophysics · Physics 2015-05-08 Konstantin Batygin