The Self-Similarity of Shear-Dominated Viscous Stirring

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dc.creatorCollins, Benjamin F.
dc.creatorSchlichting, Hilke E.
dc.creatorSari, Re'em
dc.date2006-09-28
dc.date.accessioned2026-07-07T11:26:06Z
dc.date.available2026-07-07T11:26:06Z
dc.descriptionWe examine the growth of eccentricities of a population of particles with initially circular orbits around a central massive body. Successive encounters between pairs of particles increase the eccentricities in the disk on average. As long as the epicyclic motions of the particles are small compared to the shearing motion between Keplerian orbits, there is no preferred scale for the eccentricities. The simplification due to this self-similarity allows us to find an analytic form for the distribution function; full numerical integrations of a disk with 200 planetesimals verify our analytical self-similar distribution. The shape of this non-equilibrium profile is identical to the equilibrium profile of a shear-dominated population whose mutual excitations are balanced by dynamical friction or Epstein gas drag.
dc.description8 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/astro-ph/0609801
dc.identifierhttp://arxiv.org/abs/astro-ph/0609801
dc.identifierAstron.J.133:2389-2392,2007
dc.identifierdoi:10.1086/513718
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195719
dc.subjectAstrophysics
dc.titleThe Self-Similarity of Shear-Dominated Viscous Stirring
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