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Mean-motion resonances (MMRs) form through convergent disc migration of planet pairs, which may be disrupted by dynamical instabilities after protoplanetary disc (PPD) dispersal. This scenario is supported by recent analysis of TESS data…

Earth and Planetary Astrophysics · Physics 2025-05-21 Yi-Xian Chen , Yinhao Wu , Ya-Ping Li , Douglas N. C. Lin , Richard Alexander , Sergei Nayakshin , Fei Dai

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

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

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

This paper explores the driving of low-level hydrodynamical activity in protoplanetary-disc dead zones. A small adverse radial entropy gradient, ordinarily stabilised by rotation, excites oscillatory convection (`convective overstability')…

Earth and Planetary Astrophysics · Physics 2015-12-02 Henrik Latter

Recent observations of Kepler multi-planet systems have revealed a number of systems with planets very close to second-order mean motion resonances (MMRs, with period ratio $1:3$, $3:5$, etc.) We present an analytic study of resonance…

Earth and Planetary Astrophysics · Physics 2021-11-03 Wenrui Xu , Dong Lai

Resonant planetary migration in protoplanetary discs can lead to an interplay between the resonant interaction of planets and their disc torques called overstability. While theoretical predictions and N-body simulations hinted at its…

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

In this work, we study the dynamics of two less massive objects moving around a central massive object, which are all embedded within a thin accretion disc. In addition to the gravitational interaction between these objects, the disc-object…

Earth and Planetary Astrophysics · Physics 2024-09-09 Huan Yang , Ya-Ping Li

We present two-dimensional hydrodynamical simulations of pairs of planets migrating simultaneously in the Type I regime in a protoplanetary disc. Convergent migration naturally leads to the trapping of these planets in mean-motion…

Earth and Planetary Astrophysics · Physics 2017-12-27 T. O. Hands , R. D. Alexander

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

This paper continues previous work on the effects of turbulence on mean motion resonances in extrasolar planetary systems. Turbulence is expected to arise in the disks that form planets, and these fluctuations act to compromise resonant…

Astrophysics · Physics 2014-11-18 Daniel Lecoanet , Fred C. Adams , Anthony M. Bloch

We study the stability of mean-motion resonances (MMR) between two planets during their migration in a protoplanetary disk. We use an analytical model of resonances, and describe the effect of the disk by a migration timescale (T_{m,i}) and…

Earth and Planetary Astrophysics · Physics 2015-07-22 J. -B. Delisle , A. C. M. Correia , J. Laskar

We investigate the growth or decay rate of the fundamental mode of even symmetry in a viscous accretion disc. This mode occurs in eccentric discs and is known to be potentially overstable. We determine the vertical structure of the disc and…

Astrophysics · Physics 2009-11-11 Henrik N. Latter , Gordon I. Ogilvie

We assess the multi-planet systems discovered by the Kepler satellite in terms of current ideas about orbital migration and eccentricity damping due to planet-disk interactions. Our primary focus is on mean motion resonances. Only a few…

Earth and Planetary Astrophysics · Physics 2015-06-17 Peter Goldreich , Hilke E. Schlichting

We consider the dynamical evolution of two planets orbiting in the vicinity of a first order mean motion reso- nance while simultaneously undergoing eccentricity damping and convergent migration. Following Goldreich & Schlichting (2014), we…

Earth and Planetary Astrophysics · Physics 2015-09-23 Katherine M. Deck , Konstantin Batygin

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

We study and review disk protoplanet interactions using local shearing box simulations. These suffer the disadvantage of having potential artefacts arising from periodic boundary conditions but the advantage, when compared to global…

Astrophysics · Physics 2009-11-10 J. C. B. Papaloizou

Disk accretion onto a weakly magnetized central object, e.g. a star, is inevitably accompanied by the formation of a boundary layer near the surface, in which matter slows down from the highly supersonic orbital velocity of the disk to the…

Solar and Stellar Astrophysics · Physics 2015-06-05 Mikhail A. Belyaev , Roman R. Rafikov , James M. Stone

Using only physical mechanisms, i.e., 3D MHD with no phenomenological viscosity, we have simulated the dynamics of a moderately thin accretion disk subject to torques whose radial scaling mimics those produced by lowest-order post-Newtonian…

High Energy Astrophysical Phenomena · Physics 2015-05-06 Julian H. Krolik , John F. Hawley
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