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Related papers: Mean-Motion Resonances With Interfering Density Wa…

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Convergent migration involving multiple planets embedded in a viscous protoplanetary disc is expected to produce a chain of planets in mean motion resonances, but the multiplanet systems observed by the Kepler spacecraft are generally not…

Earth and Planetary Astrophysics · Physics 2019-07-31 Colin P. McNally , Richard P. Nelson , Sijme-Jan Paardekooper

We investigate the linear tidal perturbation of a viscous Keplerian disk by a companion star orbiting in a plane inclined to the disk. We consider m=1 perturbations with odd symmetry with respect to the z=0 midplane. Since the response of a…

Astrophysics · Physics 2009-10-31 Caroline E. J. M. L. J. Terquem

Mean motion commensurabilities in multi-planet systems are an expected outcome of protoplanetary disk-driven migration, and their relative dearth in the observational data presents an important challenge to current models of planet…

Earth and Planetary Astrophysics · Physics 2017-03-08 Konstantin Batygin , Fred C. Adams

We investigate orbital resonances expected to arise when a system of two planets, with masses in the range 1-4 Earth masses, undergoes convergent migration while embedded in a section of gaseous disc where the flow is laminar. We consider…

Astrophysics · Physics 2009-11-13 J. C. B. Papaloizou , E. Szuszkiewicz

We consider the accretion process in a disk with magnetic fields that are dragged in from the interstellar medium by gravitational collapse. Two diffusive processes are at work in the system: (1) "viscous" torques exerted by turbulent and…

The disc surrounding PDS 70, with two directly imaged embedded giant planets, is an ideal laboratory to study planet-disc interaction. We present three-dimensional smoothed particle hydrodynamics simulations of the system. In our…

Earth and Planetary Astrophysics · Physics 2020-10-28 Claudia Toci , Giuseppe Lodato , Valentin Christiaens , Davide Fedele , Christophe Pinte , Daniel J. Price , Leonardo Testi

A restricted planar circular three-body system, consisting of the Sun and two planets, is studied as a simple model for a planetary system. The mass of the inner planet is considered to be larger and the system is assumed to be moving in a…

Astrophysics · Physics 2009-10-31 Nader Haghighipour

Mean motion resonances (MMRs) are a generic outcome of convergent migration for bodies embedded in accretion disks around a central mass. Long studied in planetary systems, the same phenomenon should occur for stellar-mass black holes (BHs)…

High Energy Astrophysical Phenomena · Physics 2025-10-16 Marguerite Epstein-Martin , Nicholas Stone , Juliette Becker

The torques exerted by a locally isothermal disk on an embedded planet lead to rapid inward migration. Recent work has shown that modeling the thermodynamics without the assumption of local isothermality reveals regions where the net torque…

Earth and Planetary Astrophysics · Physics 2015-06-04 Brandon Horn , Wladimir Lyra , Mordecai-Mark Mac Low , Zsolt Sándor

We investigate how the conditions occurring in a protoplanetary disc may determine the final structure of a planetary system emerging from such a disc. We concentrate our attention on the dynamical interactions between disc and planets…

Earth and Planetary Astrophysics · Physics 2015-05-28 E. Podlewska-Gaca , E. Szuszkiewicz

We investigate the evolution of two-planet systems embedded in a protoplanetary disc, which are composed of a Jupiter-mass planet plus another body located further out in the disc. We consider outermost planets with masses ranging from 10…

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

We investigate a repulsion mechanism between two low-mass planets migrating in a protoplanetary disk, for which the relative migration switches from convergent to divergent. This mechanism invokes density waves emitted by one planet…

Earth and Planetary Astrophysics · Physics 2021-11-17 Zijia Cui , John C. B. Papaloizou , Ewa Szuszkiewicz

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

Gravitational coupling between planets and protoplanetary discs is responsible for many important phenomena such as planet migration and gap formation. The key quantitative characteristics of this coupling is the excitation torque density…

Earth and Planetary Astrophysics · Physics 2023-06-14 Nicolas P. Cimerman , Roman R. Rafikov , Ryan Miranda

We investigate the evolution of a system of two super-Earths with masses < 4 Earth masses embedded in a turbulent protoplanetary disk. The aim is to examine whether or not resonant trapping can occur and be maintained in presence of…

Earth and Planetary Astrophysics · Physics 2015-05-27 A. Pierens , C. Baruteau , F. Hersant

Structures observed in debris disks may be caused by gravitational interaction with planetary or stellar companions. These perturbed disks are often thought to indicate the presence of planets and offer insights into the properties of both…

Earth and Planetary Astrophysics · Physics 2017-09-29 Maryam Tabeshian , Paul A. Wiegert

We present a mechanism related to the migration of giant protoplanets embedded in a protoplanetary disc whereby a giant protoplanet is caught up, before having migrated all the way to the central star, by a lighter outer giant protoplanet.…

Astrophysics · Physics 2009-10-31 F. Masset , M. Snellgrove

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

Planets undergoing convergent migration can be captured into mean-motion resonance (MMR), in which the planets' periods are related by integer ratios. The dynamics of MMR are typically considered in isolation, including only the forces…

Earth and Planetary Astrophysics · Physics 2025-05-16 JT Laune , Dong Lai

Mean motion resonances are a common feature of both our own Solar System and of extrasolar planetary systems. Bodies can be trapped in resonance when their orbital semi-major axes change, for instance when they migrate through a…

Earth and Planetary Astrophysics · Physics 2015-05-20 Alexander J. Mustill , Mark C. Wyatt