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Spiral density waves observed in protoplanetary discs have often been used to infer the presence of embedded planets. This inference relies both on simulations as well as the linear theory of planet-disc interaction developed for planets on…

Earth and Planetary Astrophysics · Physics 2022-10-12 Callum W. Fairbairn , Roman R. Rafikov

Gravitational coupling between a protoplanetary disc and an embedded eccentric planet is an important, long-standing problem, which has been not yet been conclusively explored. Here we study the torque and associated orbital evolution of an…

Earth and Planetary Astrophysics · Physics 2024-07-31 Callum W. Fairbairn , Roman R. Rafikov

We develop a simplified model for studying the long-term evolution of giant planets in protoplanetary discs. The model accounts for the eccentricity evolution of the planets and the dynamics of eccentric discs under the influences of…

Earth and Planetary Astrophysics · Physics 2019-11-06 Jean Teyssandier , Dong Lai

We explore the evolution of the eccentricity of an accretion disc perturbed by an embedded planet whose mass is sufficient to open a large gap in the disc. Various methods for representing the orbit-averaged motion of an eccentric disc are…

Earth and Planetary Astrophysics · Physics 2017-03-29 Jean Teyssandier , Gordon I. Ogilvie

Many dynamical interactions can induce eccentricities in astrophysical accretion disks. Disk eccentricities in turn seed a variety of instabilities, even in ideal hydrodynamics. We use 3D nonlinear simulations and 2+1D linear calculations…

Solar and Stellar Astrophysics · Physics 2025-10-30 Janosz W. Dewberry , Henrik N. Latter , Gordon I. Ogilvie , Sebastien Fromang

By means of three dimensional, high resolution hydrodynamical simulations we study the orbital evolution of weakly eccentric or inclined low-mass protoplanets embedded in gaseous discs subject to thermal diffusion. We consider both…

Earth and Planetary Astrophysics · Physics 2023-03-15 S. Cornejo , F. S. Masset , R. O. Chametla , S. Fromenteau

A new theory of eccentric accretion discs is presented. Starting from the basic fluid-dynamical equations in three dimensions, I derive the fundamental set of one-dimensional equations that describe how the mass, angular momentum and…

Astrophysics · Physics 2009-11-06 G. I. Ogilvie

During the process of planet formation, the planet-discs interactions might excite (or damp) the orbital eccentricity of the planet. In this paper, we present two long ($t\sim 3\times 10^5$ orbits) numerical simulations: (a) one (with a…

Earth and Planetary Astrophysics · Physics 2025-05-19 Enrico Ragusa , Giovanni Rosotti , Jean Teyssandier , Richard Booth , Cathie J. Clarke , Giuseppe Lodato

We perform global two-dimensional hydrodynamical simulations of Keplerian discs with free eccentricity over thousands of orbital periods. Our aim is to determine the validity of secular theory in describing the evolution of eccentric discs,…

Earth and Planetary Astrophysics · Physics 2016-03-23 Adrian J. Barker , Gordon I. Ogilvie

Various processes can induce long-lived overdense rings and arcs in protoplanetary and AGN accretion discs, such as the accumulation of gas at the outer edge of the dead zone, or the infall of material. Using the local approximation of…

Astrophysics of Galaxies · Physics 2026-04-24 R. A. Anaya-Sánchez , F. J. Sánchez-Salcedo

We aim to investigate the influence of the eccentricity and inclination damping due to planet-disc interactions on the final configurations of the systems, generalizing previous studies on the combined action of the gas disc and…

Earth and Planetary Astrophysics · Physics 2016-12-09 Sotiris Sotiriadis , Anne-Sophie Libert , Bertram Bitsch , Aurélien Crida

Hydrodynamical simulations show that circumbinary disks become eccentric, even when the binary is circular. Here we demonstrate that, in steady state, the disk's eccentricity behaves as a long-lived free mode trapped by turning points that…

High Energy Astrophysical Phenomena · Physics 2021-01-06 Diego J. Muñoz , Yoram Lithwick

With an average eccentricity of about 0.29, the eccentricity distribution of extrasolar planets is markedly different from the solar system. Among other scenarios considered, it has been proposed that eccentricity may grow through…

Earth and Planetary Astrophysics · Physics 2014-01-09 Bertram Bitsch , Willy Kley

Massive eccentric disks (gaseous or particulate) orbiting a dominant central mass appear in many astrophysical systems, including planetary rings, protoplanetary and accretion disks in binaries, and nuclear stellar disks around supermassive…

Earth and Planetary Astrophysics · Physics 2018-09-19 Irina Davydenkova , Roman R. Rafikov

In this paper we develop a framework for studying unstratified, magnetised eccentric discs and compute uniformly precessing eccentric modes in a cylindrical annulus which provide convenient initial conditions for numerical simulations. The…

High Energy Astrophysical Phenomena · Physics 2023-09-18 Elliot M. Lynch , Janosz W. Dewberry

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

We study the tidal interaction between a low-mass companion (e.g., a protoplanet or a black hole) in orbit about a central mass, and the accretion disk within which it is submerged. We present results for a companion on a coplanar orbit…

Earth and Planetary Astrophysics · Physics 2020-01-08 F. J. Sanchez-Salcedo

We present a new analytic approach to the disk-planet interaction that is especially useful for planets with eccentricity larger than the disk aspect ratio. We make use of the dynamical friction formula to calculate the force exerted on the…

Earth and Planetary Astrophysics · Physics 2015-05-28 Takayuki Muto , Taku Takeuchi , Shigeru Ida

Protostellar discs are mostly modelled as circular structures of gas and dust orbiting a protostar. However, a number of physical mechanisms, e.g. the presence of a (sub)stellar companion or initial axial asymmetry, can cause the gas and…

Earth and Planetary Astrophysics · Physics 2024-06-26 Enrico Ragusa , Elliot Lynch , Guillaume Laibe , Cristiano Longarini , Simone Ceppi

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
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