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The Vertical Shear Instability is an axisymmetric effect suggested to drive turbulence in the magnetically inactive zones of protoplanetary accretion disks. Here we examine its physical mechanism in analytically tractable ``minimal models"…

Earth and Planetary Astrophysics · Physics 2022-01-26 Ron Yellin-Bergovoy , Eyal Heifetz , Orkan M. Umurhan

This letter expands the stability criterion for radially stratified, vertically {unstratified} accretion disks incorporating thermal relaxation. We find a linear amplification of epicyclic oscillations in these disks that depends on the…

Solar and Stellar Astrophysics · Physics 2015-06-19 Hubert Klahr , Alexander Hubbard

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

Circumplanetary discs can be linearly unstable to the growth of disc tilt in the tidal potential of the star-planet system. We use three-dimensional hydrodynamical simulations to characterize the disc conditions needed for instability,…

Earth and Planetary Astrophysics · Physics 2021-02-03 Rebecca G. Martin , Zhaohuan Zhu , Philip J. Armitage , Chao-Chin Yang , Hans Baehr

We aim to examine the detailed disc structure that arises in a misaligned binary system as a function of the disc aspect ratio h, viscosity parameter alpha, disc outer radius R, and binary inclination angle gamma_F. We also aim to examine…

Earth and Planetary Astrophysics · Physics 2015-05-14 Moritz Fragner , Richard Nelson

Tidal dissipation in planets and stars is one of the key physical mechanisms driving the evolution of star-planet and planet-moon systems. Several signatures of its action are observed in planetary systems thanks to their orbital…

Earth and Planetary Astrophysics · Physics 2015-09-23 P. Auclair-Desrotour , S. Mathis , C. Le Poncin-Lafitte

Whether tidal disruption events circularise or accrete directly as highly eccentric discs is the subject of current research and appears to depend sensitively on the disc thermodynamics. One aspect of this problem that has not received much…

High Energy Astrophysical Phenomena · Physics 2020-11-18 Elliot M. Lynch , Gordon I. Ogilvie

The 1-D evolution equations for warped discs come in two flavors: For very viscous discs the internal torque vector G is uniquely determined by the local conditions in the disc, and warps tend to damp out rapidly if they are not…

Solar and Stellar Astrophysics · Physics 2021-10-13 C. P. Dullemond , C. N. Kimmig , J. J. Zanazzi

Spiral density waves dominate several facets of accretion disc dynamics --- planet-disc interactions and gravitational instability (GI) most prominently. Though they have been examined thoroughly in two-dimensional simulations, their…

Earth and Planetary Astrophysics · Physics 2018-03-21 A. Riols , H. Latter

We simulate the viscous evolution of an accretion disc around a spinning black hole. In general any such disc is misaligned, and warped by the Lense-Thirring effect. Unlike previous studies we use effective viscosities constrained to be…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Chris Nixon , Andrew King

An important and widely neglected aspect of the interaction between an accretion disc and a massive companion with a coplanar orbit is the vertical component of the tidal force. As shown by Lubow, the response of the disc to vertical…

Astrophysics · Physics 2009-11-07 G. I. Ogilvie

The interaction between a planet located in the inner region of a disc and the warped outer region is studied. We consider the stage of evolution after the planet has cleared-out a gap, so that the planetary orbit evolves only under the…

Earth and Planetary Astrophysics · Physics 2015-06-17 Caroline Terquem

We present a detailed study of the growth of the Parker instability in a differentially rotating disk embedded in an azimuthal equilibrium magnetic field, such as the interstellar gas or an accretion disk. Basic properties of the…

Astrophysics · Physics 2007-05-23 T. Foglizzo , M. Tagger

Numerical simulations of global three-dimensional (3D), self-gravitating discs with a gap opened by an embedded planet are presented. The simulations are customised to examine planetary gap stability. Previous results, obtained by Lin &…

Earth and Planetary Astrophysics · Physics 2015-06-05 Min-Kai Lin

Bending waves are perhaps the most fundamental and analytically tractable phenomena in warped disc dynamics. In this work we conduct 3D grid-based, numerical experiments of bending waves in laminar, viscous hydrodynamic and turbulent,…

Solar and Stellar Astrophysics · Physics 2025-01-28 Callum W. Fairbairn

In this paper I develop a nonlinear theory of tightly-wound (highly twisted) eccentric waves in astrophysical discs, based on the averaged Lagrangian method of Whitham. Viscous dissipation is included in the theory by use of a…

Solar and Stellar Astrophysics · Physics 2022-01-19 Elliot M. Lynch

We study the sedimentation of U-shaped circular disks in the Stokes limit of vanishing inertia. We simulate the flow past such disks using a finite-element-based solution of the 3D Stokes equations, accounting for the integrable…

We consider discs that orbit a central object and are tidally perturbed by a circular orbit companion. Such discs are sometimes subject to an eccentric instability due to the effects of certain resonances. Eccentric instabilities may be…

Solar and Stellar Astrophysics · Physics 2015-05-18 Stephen H. Lubow

Recent observations of several protoplanetary discs have found evidence of departures from flat, circular motion in the inner regions of the disc. One possible explanation for these observations is a disc warp, which could be induced by a…

Earth and Planetary Astrophysics · Physics 2018-08-29 Rebecca Nealon , Giovanni Dipierro , Richard Alexander , Rebecca Martin , Chris Nixon

We revisit the global linear theory of the vertical shear instability (VSI) in protoplanetary discs with an imposed radial temperature gradient. We focus on the regime in which the VSI has the form of a travelling inertial wave that grows…

Earth and Planetary Astrophysics · Physics 2025-01-24 Gordon I. Ogilvie , Henrik N. Latter , Geoffroy Lesur