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We have applied an eccentric accretion disc theory in simplified form to the case of an accretion disc in a binary system, where the disc contains the 3:1 Lindblad resonance. This is relevant to the case of superhumps in SU Ursae Majoris…

Astrophysics · Physics 2009-11-11 Simon Goodchild , Gordon Ogilvie

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

Eccentric Keplerian discs are believed to be unstable to three-dimensional hydrodynamical instabilities driven by the time-dependence of fluid properties around an orbit. These instabilities could lead to small-scale turbulence, and…

Earth and Planetary Astrophysics · Physics 2015-06-23 Adrian J. Barker , Gordon I. Ogilvie

With hundreds of exoplanets detected, it is necessary to revisit giant planets accretion models to explain their mass distribution. In particular, formation of sub-jovian planets remains unclear, given the short timescale for the runaway…

Earth and Planetary Astrophysics · Physics 2015-06-12 Guillaume Rivier , Aurélien Crida , Alessandro Morbidelli , Yann Brouet

The Vertical Shear Instability is one of two known mechanisms potentially active in the so-called dead zones of protoplanetary accretion disks. A recent analysis indicates that a subset of unstable modes shows unbounded growth - both as…

Solar and Stellar Astrophysics · Physics 2016-02-03 O. M. Umurhan , R. P. Nelson , O. Gressel

Gravitational instability plays an important role in driving gas accretion in massive protostellar discs. Particularly strong is the global gravitational instability, which arises when the disc mass is of order 0.1 of the mass of the…

Astrophysics of Galaxies · Physics 2015-05-20 D. Harsono , R. D. Alexander , Yuri Levin

In the context of planet formation, anticyclonic vortices have recently received lots of attention for the role they can play in planetesimals formation. Radial migration of intermediate size solids toward the central star may prevent their…

Earth and Planetary Astrophysics · Physics 2015-06-04 H. Meheut , R. Keppens , F. Casse , W. Benz

Accretion discs are fundamental to many astrophysical systems, providing the conversion of gravitational potential energy into radiation that we can observe. In many systems there is evidence that discs are warped; from spatially-resolved…

High Energy Astrophysical Phenomena · Physics 2026-05-05 Chris Nixon , Jim Pringle

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

The collapse of interstellar gaseous clouds towards a protostar leads to the formation of accretion disks around the central star. Such disks can be dynamically stable if they settle in an axisymmetric state. In this letter, we investigate…

Solar and Stellar Astrophysics · Physics 2020-09-07 Florian Ragossnig , Lukas Gehrig , Ernst A. Dorfi , Daniel Steiner , Alexander Stökl

An analysis is presented of a numerical investigation of the dynamics and geometry of accretion discs in binary systems with mass ratios q < 0.1, applicable to ultra-compact X-ray binaries, AM CVn stars and very short period cataclysmic…

Astrophysics · Physics 2008-11-26 Michael Truss

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

Dynamics of linear perturbations in a differentially rotating accretion disk with non-homogeneous vertical structure is investigated. It has been found that turbulent viscosity results in instability of both pinching oscillations, and…

Astrophysics · Physics 2007-05-23 A. V. Khoperskov , S. S. Khrapov

Using the anelastic approximation of linearised hydrodynamic equations, we investigate the development of axially symmetric small perturbations in thin Keplerian discs. The sixth-order dispersion equation is derived and numerically solved…

High Energy Astrophysical Phenomena · Physics 2015-07-02 N. Shakura , K. Postnov

We address the cosmological evolution of violent gravitational instability in high-redshift, massive, star-forming galactic discs. To this aim, we integrate in time the equations of mass and energy conservation under self-regulated…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Marcello Cacciato , Avishai Dekel , Shy Genel

We report the finding of a linear, non-axisymmetric, global instability in gas discs around stars, which may be relevant to other astrophysical discs. It takes the form of an $m=1$ mode that grows in the disc density distribution while the…

Observations indicate that stars generally lose their protoplanetary discs on a timescale of about 5 Myr. Which mechanisms are responsible for the disc dissipation is still debated. Here we investigate the movement through an ambient medium…

Solar and Stellar Astrophysics · Physics 2017-06-21 T. P. G. Wijnen , O. R. Pols , F. I. Pelupessy , S. Portegies Zwart

Accretion discs around black holes can become warped by Lense-Thirring precession if the disc is tilted with respect to the black hole spin vector. When the disc viscosity is sufficiently large that warp propagation is diffusive, the inner…

High Energy Astrophysical Phenomena · Physics 2022-03-14 N. C. Drewes , C. J. Nixon

(Abriged) The existence of large-scale and long-lived 2D vortices in accretion discs has been debated for more than a decade. They appear spontaneously in several 2D disc simulations and they are known to accelerate planetesimal formation…

Earth and Planetary Astrophysics · Physics 2009-11-13 G. Lesur , J. C. B. Papaloizou

We investigate the effects of different dust and gas opacity descriptions on the structure and evolution of the inner regions of protoplanetary discs. The influence on the episodic instability of the inner rim is hereby of central interest.…

Earth and Planetary Astrophysics · Physics 2026-03-25 Michael Cecil , Mario Flock , Mykola G. Malygin , Rolf Kuiper , Prakruti Sudarshan , Alexandros Ziampras , Vardan G. Elbakyan