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Related papers: On the saturation of corotation resonances: a nume…

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We study the disc planet interactions of low-mass protoplanets embedded in a circumstellar disc. We extend the standard theory of planet migration from the usual locally isothermal assumption to include non-barotropic effects, focusing on…

Astrophysics · Physics 2009-11-13 S. -J. Paardekooper , J. C. B. Papaloizou

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

We extend previous studies of the tidal truncation of coplanar disks in binary systems to the more general case of noncoplanar disks. As in the prograde coplanar case, Lindblad resonances play a key role in tidal truncation. We analyze the…

Solar and Stellar Astrophysics · Physics 2015-06-23 Stephen H. Lubow , Rebecca G. Martin , Chris Nixon

Recent developments in non-ideal magnetohydrodynamic simulations of protoplanetary disks suggest that instead of being traditional turbulent (viscous) accretion disks, they have a largely laminar flow with accretion driven by large-scale…

Earth and Planetary Astrophysics · Physics 2018-06-27 Colin P. McNally , Richard P. Nelson , Sijme-Jan Paardekooper , Oliver Gressel , Wladimir Lyra

We study the establishment of three-planet resonances -similar to the Laplace resonance in the Galilean satellites- and their effects on the mutual inclinations of the orbital planes of the planets, assuming that the latter undergo…

Earth and Planetary Astrophysics · Physics 2015-06-04 A. -S. Libert , K. Tsiganis

We use perturbation theory and bifurcation theory to analyze the dynamical behavior of resonances, associated to a model describing a particle moving within a ring around a celestial object. The central body is modeled as a homogeneous…

Mathematical Physics · Physics 2025-07-22 Alessandra Celletti , Irene De Blasi , Sara Di Ruzza

The saturation of ion cyclotron Alfven turbulence excited by beam particles is investigated using resonance broadening theory. The stochastic scattering which decorrelates particles, includes both random acceleration by electric fields and…

Plasma Physics · Physics 2009-10-30 M. V. Medvedev , P. H. Diamond

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

Torus mapping yields constants of motion for stars trapped at a resonance. Each such constant of motion yields a system of contours in velocity space at the Sun and neighbouring points. If Jeans' theorem applied to resonantly trapped…

Astrophysics of Galaxies · Physics 2020-05-27 James Binney

We investigate the tidal interaction between a low-mass planet and a self-gravitating protoplanetary disk, by means of two-dimensional hydrodynamic simulations. We first show that considering a planet freely migrating in a disk without…

Astrophysics · Physics 2009-11-13 C. Baruteau , F. Masset

Circumbinary discs (CBDs) arise in many astrophysical settings, including young stellar binaries and supermassive black hole binaries. Their structure is mediated by gravitational torques exerted on the disc by the central binary. The…

Astrophysics of Galaxies · Physics 2023-08-07 Nicolas P. Cimerman , Roman R. Rafikov

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

Planets in their formative years can migrate due to the influence of gravitational torques in the protoplanetary disk they inhabit. For low-mass planets in an isothermal disk, it is known that there is a strong negative torque on the planet…

Earth and Planetary Astrophysics · Physics 2015-05-05 Paul C. Duffell

We investigate the inclination-growth mechanisms for two-planet systems during the late protoplanetary disc phase. In previous works, much attention has been directed to the inclination-type resonance, and it has been shown that it asks for…

Earth and Planetary Astrophysics · Physics 2021-04-28 Sotiris Sotiriadis , Anne-Sophie Libert

Non-linear evolution of the parametric instability of inertial waves inherent to eccentric discs is studied by way of a new local numerical model. Mode coupling of tidal deformation with the disc eccentricity is known to produce…

Earth and Planetary Astrophysics · Physics 2018-05-02 Aaron F. Wienkers , Gordon I. Ogilvie

Protoplanetary disks can become eccentric when planets open deep gaps within, but how eccentric are they? We answer this question by analyzing two-dimensional hydrodynamical simulations of planet-disk interaction. The steady state…

Earth and Planetary Astrophysics · Physics 2026-02-20 Cory Padgett , Jeffrey Fung

We study torques on migrating low-mass planets in locally isothermal discs. Previous work on low-mass planets generally kept the planet on a fixed orbit, after which the torque on the planet was measured. In addition to these static…

Earth and Planetary Astrophysics · Physics 2015-06-22 Sijme-Jan Paardekooper

We model the motion of a small compact object on a nearly circular orbit around a spinning supermassive black hole, which is also interacting with a thin equatorial accretion-disk surrounding the latter, through tools from self-force and…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Abhishek Hegade K. R. , Charles F. Gammie , Nicolás Yunes

We investigate the effect of planetary corotation on energy dissipation within the magnetosphere-ionosphere system of exoplanets. Using MHD simulations, we find that tidally locked exoplanets have a higher cross-polar cap potential (CPCP)…

Earth and Planetary Astrophysics · Physics 2025-05-23 Fatemeh Bagheri , Alex Glocer , Ramon E. Lopez

We formulate a set of linear equations that describe the behaviour of small eccentricities in a protoplanetary system consisting of a gaseous disc and a planet. Eccentricity propagates through the disc by means of pressure and self-gravity,…

Earth and Planetary Astrophysics · Physics 2016-03-23 Jean Teyssandier , Gordon I. Ogilvie