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The velocity dispersion, or eccentricity distribution, of protoplanets interacting with planetesimals is set by a balance between dynamical friction and viscous stirring. We calculate analytically the eccentricity distribution function of…

Astrophysics · Physics 2008-11-26 Benjamin F. Collins , Re'em Sari

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

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

We study the dynamics of a vertically thin, dispersion-dominated disk of planetesimals with eccentricities $e$ and inclinations $i$ (normalized in Hill units) satisfying $e >> 1$, $i << e^{-2} << 1$. This situation may be typical for e.g. a…

Earth and Planetary Astrophysics · Physics 2011-09-13 Roman R. Rafikov , Zachary S. Slepian

Disks (Keplerian or otherwise, particulate or fluid) are often assumed to have densities that drop off vertically as Gaussians. Recent mm-wave imaging of circumstellar debris disks contradicts this assumption, revealing vertical profiles in…

We formulate a local dynamical model of an eccentric disc in which the dominant motion consists of elliptical Keplerian orbits. The model is a generalization of the well known shearing sheet, and is suitable for both analytical and…

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

We present a new, simple, fast algorithm to numerically evolve disks of inelastically colliding particles surrounding a central star. Our algorithm adds negligible computational cost to the fastest existing collisionless N-body codes, and…

Astrophysics · Physics 2008-11-26 Yoram Lithwick , Eugene Chiang

Protoplanetary disks are gaseous systems in Keplerian rotation around young stars, known to be turbulent. They include a small fraction of dust from which planets form. In the incremental scenario for planet growth, the formation of…

Earth and Planetary Astrophysics · Physics 2023-02-06 Fabiola Antonietta Gerosa , Héloïse Meheut , Jérémie Bec

We describe the dynamics and thermodynamics of collisionless particle disks orbiting a massive central body, in the case where the disk mass is small compared to the central mass, the self-gravity of the disk dominates the non-Keplerian…

Astrophysics of Galaxies · Physics 2014-09-12 Jihad Touma , Scott Tremaine

The orbital eccentricity distribution of exoplanets is shaped by a combination of dynamical processes, reflecting both formation conditions and long-term evolution. Probing the orbital dynamics of planets in the kinematic thin and thick…

Scattering of stars by interstellar clouds or massive clumps increases the stellar velocity dispersion and promotes a radial disk profile that is exponential. Here we show that such scattering reaches a steady-state distribution function of…

Astrophysics of Galaxies · Physics 2026-02-25 Curtis Struck , Bruce G. Elmegreen , Elena DOnghia

We show, using the N-body code GADGET-2, that stellar scattering by massive clumps can produce exponential discs, and the effectiveness of the process depends on the mass of scattering centres, as well as the stability of the galactic disc.…

Astrophysics of Galaxies · Physics 2020-10-28 Jian Wu , Curtis Struck , Elena D'Onghia , Bruce G. Elmegreen

We study the mutual evolution of the orbital properties of high mass ratio, circular, co-planar binaries and their surrounding discs, using 3D Smoothed Particle Hydrodynamics simulations. We investigate the evolution of binary and disc…

Earth and Planetary Astrophysics · Physics 2021-07-29 Enrico Ragusa , Richard Alexander , Josh Calcino , Kieran Hirsh , Daniel J. Price

We study the orbital properties of stars in four (published) simulations of thick disks formed by: i) accretion from disrupted satellites, ii) heating of a pre-existing thin disk by a minor merger, iii) radial migration and iv) gas rich…

Accretion disks around stars, or other central massive bodies, can support long-lived, slowly precessing $m=1$ disturbances in which the fluid motion is nearly Keplerian with non-zero eccentricity. We study such `slow modes' in disks that…

Earth and Planetary Astrophysics · Physics 2019-03-06 Wing-Kit Lee , Adam M. Dempsey , Yoram Lithwick

Recent SPH simulations by Martin et al. (2014) suggest a circumstellar gaseous disk may exhibit coherent eccentricity-inclination oscillations due to the tidal forcing of an inclined binary companion, in a manner that resembles Lidov-Kozai…

Earth and Planetary Astrophysics · Physics 2017-05-09 J. J. Zanazzi , Dong Lai

Observations in the past decade have revealed extrasolar planets with a wide range of orbital semimajor axes and eccentricities. Based on the present understanding of planet formation via core accretion and oligarchic growth, we expect that…

Astrophysics · Physics 2008-12-18 Sourav Chatterjee , Eric B. Ford , Soko Matsumura , Frederic A. Rasio

We describe the diffusion and random velocities of solid particles due to stochastic forcing by turbulent gas. We include the orbital dynamics of Keplerian disks, both in-plane epicycles and vertical oscillations. We obtain a new result for…

Astrophysics · Physics 2009-11-13 Andrew N. Youdin , Yoram Lithwick

We study the distribution of orbital eccentricities of stars in thick disks generated by the heating of a pre-existing thin stellar disk through a minor merger (mass ratio 1:10), using N-body/SPH numerical simulations of interactions that…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 P. Di Matteo , M. D. Lehnert , Y. Qu , W. van Driel

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
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