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

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We investigate resonant capture of small bodies by planets that migrate inwards, using analytic arguments and three-body integrations. If the orbits of the planet and the small body are initially circular and coplanar, the small body is…

Astrophysics · Physics 2009-10-31 Qingjuan Yu , Scott Tremaine

Divergent migration of planets within a viscous circumstellar disk can engender resonance crossings and dramatic excitation of orbital eccentricities. We provide quantitative criteria for the viability of this mechanism. For the orbits of…

Astrophysics · Physics 2009-11-07 E. I. Chiang

We show that transient resonances occur in the two body problem in general relativity, in the highly relativistic, extreme mass-ratio regime for spinning black holes. These resonances occur when the ratio of polar and radial orbital…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Eanna E. Flanagan , Tanja Hinderer

The formation of multiple close-in low-mass exoplanets is still a mystery. The challenge is to build a system wherein the outermost planet is beyond 0.2 AU from the star. Here we investigate how the prescription for type I planet migration…

Earth and Planetary Astrophysics · Physics 2018-09-05 R. Brasser , S. Matsumura , T. Muto , S. Ida

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

The aim of this work is to study the impact of a binary companion on the evolution of two-planet systems during both the type-II migration phase and their long-term evolution after the dissipation of the protoplanetary disk. We use the…

Earth and Planetary Astrophysics · Physics 2022-08-17 Arnaud Roisin , Nikita Doukhanin , Jean Teyssandier , Anne-Sophie Libert

Recent observations suggest that a large fraction of Kepler super-Earth systems have external giant planet companions (cold Jupiters), which can shape the architecture of the inner planets, in particular their mutual inclinations. The…

Earth and Planetary Astrophysics · Physics 2021-03-09 Laetitia Rodet , Dong Lai

We calculate the global quasi-steady state of a thin disk perturbed by a low-mass protoplanet orbiting at a fixed radius using extremely high-resolution numerical integrations of Euler's equations in two dimensions. The calculations are…

Earth and Planetary Astrophysics · Physics 2015-06-04 Paul C. Duffell , Andrew I. MacFadyen

The traditional approach to analyzing mean motion resonances is through canonical perturbation theory. While this is a powerful method, its generality leads to complicated combinations of variables that are challenging to interpret and…

Earth and Planetary Astrophysics · Physics 2025-03-27 Daniel Tamayo , Samuel Hadden

Astrophysical objects possessing a material surface (white dwarfs, young stars, etc.) may accrete gas from the disc through the so-called surface boundary layer (BL), in which the angular velocity of the accreting gas experiences a sharp…

High Energy Astrophysical Phenomena · Physics 2022-07-06 Matthew S. B. Coleman , Roman R. Rafikov , Alexander A. Philippov

An ever-growing observational aggregate of extrasolar planets has revealed that systems of planets that reside in or near mean-motion resonances are relatively common. While the origin of such systems is attributed to protoplanetary…

Earth and Planetary Astrophysics · Physics 2015-06-16 Konstantin Batygin , Alessandro Morbidelli

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

Contact-based vibrations play a critical role in the dynamics of granular materials. Significant insights into vibrational granular dynamics have been obtained with reduced-dimensional systems containing macroscale particles. We study…

Mesoscale and Nanoscale Physics · Physics 2016-05-18 Morgan Hiraiwa , Maroun Abi Ghanem , Samuel P. Wallen , Amey Khanolkar , Alexei A. Maznev , Nicholas Boechler

We have applied a powerful numerical approach to compute, with a high resolution, the structure of dusty circumstellar disks with embedded planets. We emphasize some testable implications of our simulations which would verify the presence…

Astrophysics · Physics 2007-05-23 Nick N. Gorkavyi , Leonid M. Ozernoy , John C. Mather , Sara R. Heap

The gravitational influence of a planet on a nearby disk provides a powerful tool for detecting and studying extrasolar planetary systems. Here we demonstrate that gaps can be opened in dynamically cold debris disks at the mean-motion…

Earth and Planetary Astrophysics · Physics 2016-03-30 Maryam Tabeshian , Paul Wiegert

We present a theoretical framework for the resonance capture and stability of two-planet systems in turbulent disks. By incorporating stochastic forcing (parameterized by $\kappa$) alongside laminar angular momentum and eccentricity damping…

Earth and Planetary Astrophysics · Physics 2026-05-26 Linghong Lin , Beibei Liu , Fei Dai , Bin Liu , Jiwei Xie , Man Hoi Lee , Haifeng Yang , Shangfei Liu , Ping Chen

Type-I disk migration can form a chain of planets engaged in first-order mean-motion resonances (MMRs) parked at the disk inner edge. However, while second- or even third-order resonances were deemed unlikely due to their weaker strength,…

Earth and Planetary Astrophysics · Physics 2025-12-30 Finnegan Keller , Fei Dai , Wenrui Xu

The solid material of protoplanetary discs forms an asymmetric pattern around a low-mass planet (M_p<=10M_Earth) due to the combined effect of dust-gas interaction and the gravitational attraction of the planet. Recently, it has been shown…

Earth and Planetary Astrophysics · Physics 2020-09-09 Zsolt Regály

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 report results of the first global three-dimensional magnetohydrodynamic simulations of the waves excited in an accretion disc by a rotating star with a dipole magnetic field misaligned from the star's rotation axis (which is aligned…

Solar and Stellar Astrophysics · Physics 2013-03-20 M. M. Romanova , G. V. Ustyugova , A. V. Koldoba , R. V. E. Lovelace