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This paper examines the onset of the viscous overstability in dense particulate rings. First, we formulate a dense gas kinetic theory that is applicable to the Saturnian system. Our model is essentially that of Araki and Tremaine (1986),…

Astrophysics · Physics 2008-05-22 Henrik N. Latter , Gordon I. Ogilvie

We investigate the long-term and large-scale viscous evolution of dense planetary rings using a simple 1D numerical code. We use a physically realistic viscosity model derived from N-body simulations (Daisaka et al., 2001), and dependent on…

Earth and Planetary Astrophysics · Physics 2010-09-10 Julien Salmon , Sébastien Charnoz , Aurélien Crida , André Brahic

We investigate the influence of collective self-gravity forces on the nonlinear, large-scale evolution of the viscous overstability in Saturn's rings. We numerically solve the axisymmetric hydrodynamic equations in the isothermal and…

Earth and Planetary Astrophysics · Physics 2018-04-24 Marius Lehmann , Juergen Schmidt , Heikki Salo

In this paper we address the stability of resonantly forced density waves in dense planetary rings. Already by Goldreich & Tremaine (1978) it has been argued that density waves might be unstable, depending on the relationship between the…

Earth and Planetary Astrophysics · Physics 2018-04-23 Marius Lehmann , Juergen Schmidt , Heikki Salo

We explore the linear stability of astrophysical discs exhibiting vertical shear, which arises when there is a radial variation in the temperature or entropy. Such discs are subject to a "vertical-shear instability", which recent nonlinear…

Solar and Stellar Astrophysics · Physics 2015-06-24 Adrian J. Barker , Henrik N. Latter

Irregular structure in planetary rings is often attributed to the intrinsic instabilities of a homogeneous state undergoing Keplerian shear. Previously these have been analysed with simple hydrodynamic models. We instead employ a kinetic…

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

We perform axisymmetric hydrodynamical simulations that describe the nonlinear outcome of the viscous overstability in dense planetary rings. These simulations are particularly relevant for Cassini observations of fine-scale structure in…

Earth and Planetary Astrophysics · Physics 2015-05-19 Henrik N. Latter , Gordon I. Ogilvie

We study particle dynamics in local two-dimensional simulations of self-gravitating accretion discs with a simple cooling law. It is well known that the structure which arises in the gaseous component of the disc due to a gravitational…

Earth and Planetary Astrophysics · Physics 2015-06-05 P. G. Gibbons , W. K. M. Rice , G. R. Mamatsashvili

We study the B ring's complex optical depth structure. The source of this structure may be the complex dynamics of the Keplerian shear and the self-gravity of the ring particles. The outcome of these dynamic effects depends sensitively on…

Earth and Planetary Astrophysics · Physics 2017-03-15 Ronald-Louis Ballouz , Derek C. Richardson , Ryuji Morishima

Planet formation scenarios can be constrained by the ratio of the gaseous envelope mass relative to the solid core mass in the observed exoplanet populations. One-dimensional calculations find a critical (maximal) core mass for quasi-static…

Earth and Planetary Astrophysics · Physics 2019-10-16 William Béthune

We consider the dynamics of porous icy dust aggregates in a turbulent gas disk and investigate the stability of the disk. We evaluate the random velocity of porous dust aggregates by considering their self-gravity, collisions, aerodynamic…

Earth and Planetary Astrophysics · Physics 2017-06-28 Shugo Michikoshi , Eiichiro Kokubo

Late in the gaseous phase of a protostellar disk, centimeter-sized bodies probably settle into a thin ``dust layer'' at the midplane. A velocity difference between the dust layer and the gas gives rise to turbulence, which prevents further…

Astrophysics · Physics 2009-10-31 J. Goodman , B. Pindor

Closely-packed multi-planet systems are known to experience dynamical instability if the spacings between the planets are too small. Such instability can be tempered by the frictional forces acting on the planets from gaseous discs. A…

Earth and Planetary Astrophysics · Physics 2022-06-07 Jiaru Li , Laetitia Rodet , Dong Lai

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

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…

It is difficult to imagine a planet formation model that does not at some stage include a gravitationally unstable disc. Initially unstable gas-dust discs may form planets directly, but the high surface density required has motivated the…

Astrophysics · Physics 2009-11-13 Alexander Hubbard , Eric G. Blackman

We demonstrate that in N-body simulations of isolated disc galaxies there is numerical vertical heating which slowly increases the vertical velocity dispersion and the disc thickness. Even for models with over a million particles in a disc,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 S. A. Rodionov , N. Ya. Sotnikova

The linear stability of viscous Keplerian flow around a gravitating center is studied using the rheological granular fluid model. The linear rheological instability triggered by the interplay of the shear rheology and Keplerian differential…

Earth and Planetary Astrophysics · Physics 2017-07-25 Luka G. Poniatowski , Alexander G. Tevzadze

This paper addresses resonantly forced spiral density waves in a dense planetary ring which is close to the threshold for viscous overstability. We solve numerically the hydrodynamical equations for a dense, axisymmetric thin disk in the…

Earth and Planetary Astrophysics · Physics 2019-03-20 Marius Lehmann , Juergen Schmidt , Heikki Salo

Many of the most intriguing features, including spirals and cavities, in the current disc observations are found in binary systems like GG Tau, HD 142527 or HD 100453. Such features are evidence of the dynamic interaction between binary…

Earth and Planetary Astrophysics · Physics 2024-07-11 Anna B. T. Penzlin , Richard A. Booth , Richard P. Nelson , Christoph M. Schäfer , Wilhelm Kley
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