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We present the simplest model that permits a largely analytical exploration of the m=1 counter-rotating instability in a "hot" nearly Keplerian disc of collisionless self-gravitating matter. The model consists of a two-component softened…

Astrophysics of Galaxies · Physics 2015-05-14 S. Sridhar , Tarun Deep Saini

High-resolution observations of several debris disks reveal structures such as gaps and spirals, suggestive of gravitational perturbations induced by underlying planets. Most existing studies of planet--debris disk interactions ignore the…

Earth and Planetary Astrophysics · Physics 2023-07-17 Antranik A. Sefilian , Roman R. Rafikov , Mark C. Wyatt

Dynamical simulations are a fundamental tool for studying the secular evolution of disc galaxies. Even at their maximum resolution, they still follow a limited number of particles and typically resolve scales of the order of a few tens of…

Astrophysics of Galaxies · Physics 2015-06-17 Francesca Iannuzzi , E. Athanassoula

Planet--disc interactions, despite being fundamentally three-dimensional, are often studied in the two-dimensional `thin-disk' approximation. The overall morphology of planet--disc interactions has ben shown to be similar in both 2D and 3D…

Earth and Planetary Astrophysics · Physics 2025-10-29 Amelia J. Cordwell , Alexandros Ziampras , Joshua J. Brown , Roman R. Rafikov

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

In a series of papers we study the stellar dynamics of the grand design barred-spiral galaxy NGC~1300. In the first paper of this series we estimate the gravitational potential and we give it in a form suitable to be used in dynamical…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 C. Kalapotharakos , P. A. Patsis , P. Grosbol

We present high resolution 3-D simulations of the planet-disc interaction using smoothed particle hydrodynamics, to investigate the possibility of driving eccentricity growth by this mechanism. For models with a given disc viscosity (\alpha…

Earth and Planetary Astrophysics · Physics 2015-06-11 Alex Dunhill , Richard Alexander , Phil Armitage

We investigate the orbital evolution of planetesimals in a self-gravitating circumstellar disc in the size regime ($\sim 1-5000$ km) where the planetesimals behave approximately as test particles in the disc's non-axisymmetric potential. We…

Astrophysics · Physics 2009-11-13 M. Britsch , C. J. Clarke , G. Lodato

Using a new algorithm for estimating the actions of orbits a parametrised distribution function is automatically fitted to observational data for the solar neighbourhood. We adopt a gravitational potential that is generated by three discs…

Astrophysics of Galaxies · Physics 2015-06-05 James Binney

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

The secular thickening of a self-gravitating stellar galactic disc is investigated using the dressed collisionless Fokker-Planck equation and the inhomogeneous multicomponent Balescu-Lenard equation. The thick WKB limits for the diffusion…

Astrophysics of Galaxies · Physics 2017-08-24 Jean-Baptiste Fouvry , Christophe Pichon , Pierre-Henri Chavanis , Laura Monk

We develop several aspects of the theory of gaseous astrophysical discs in which the gravity of the disc makes a significant contribution to its structure and dynamics. We show how the internal gravitational potential can be expanded in…

Solar and Stellar Astrophysics · Physics 2025-03-18 Gordon I. Ogilvie

We analyze the eccentric response of a low mass coplanar circumbinary disc to secular tidal forcing by a Keplerian eccentric orbit central binary. The disc acquires a forced eccentricity whose magnitude depends on the properties of the…

Solar and Stellar Astrophysics · Physics 2022-09-28 Stephen H. Lubow

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

By means of high resolution hydrodynamical, three-dimensional calculations with nested-meshes, we evaluate the eccentricity reached by a low-mass, luminous planet embedded in an inviscid disc with constant thermal diffusivity and subjected…

Earth and Planetary Astrophysics · Physics 2021-12-06 David A. Velasco-Romero , Frédéric S. Masset , Romain Teyssier

The secular thickening of a discrete self-gravitating galactic disc is investigated using the inhomogeneous multi-component Balescu-Lenard equation. The thick WKB limit for the diffusion and drift coefficients is found using the epicyclic…

Astrophysics of Galaxies · Physics 2017-08-25 Jean-Baptiste Fouvry , Christophe Pichon , Pierre-Henri Chavanis

We study Lense-Thirring precession of inviscid and viscous misaligned $\alpha-$discs around a black hole using a gravitomagnetic term in the momentum equation. For weak misalignments, $i \lesssim 10^{\circ}$, the discs behave like rigid…

High Energy Astrophysical Phenomena · Physics 2020-08-31 Sergei Dyda , Christopher S. Reynolds

Mean-motion resonances between a Keplerian disc and an orbiting companion are analysed within a Hamiltonian formulation using complex canonical Poincare variables, which are ideally suited to the description of eccentricity and inclination…

Astrophysics · Physics 2008-11-26 Gordon I. Ogilvie

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

An understanding of the long-term evolution of self-gravitating disks ranks among the classic outstanding problems of astrophysics. In this work, we show that the secular inclination dynamics of a geometrically thin quasi-Keplerian disk,…

Earth and Planetary Astrophysics · Physics 2018-03-14 Konstantin Batygin