Completely analytical families of anisotropic gamma-models

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dc.creatorBuyle, Pieter
dc.creatorHunter, Chris
dc.creatorDejonghe, Herwig
dc.date2006-11-23
dc.date.accessioned2026-07-07T10:20:59Z
dc.date.available2026-07-07T10:20:59Z
dc.descriptionWe present new analytical distribution functions for anisotropic spherical galaxies. They have the density profiles of the gamma-models, which allow a wide range of central density slopes, and are widely used to fit elliptical galaxies and the bulges of spiral galaxies. Most of our models belong to two two-parameter families. One of these parameters is the slope gamma of the central density cusp. The other allows a wide range of varying radial and tangential anisotropies, at either small or large radii. We give analytical formulas for their distribution functions, velocity dispersions, and the manner in which energy and transverse velocity are distributed between orbits. We also give some of their observable properties, including line-of-sight velocity profiles which have been computed numerically. Our models can be used to provide a useful tool for creating initial conditions for N-body and Monte Carlo simulations.
dc.description21 pages, 15 figures, accepted for publication in MNRAS
dc.identifierhttps://arxiv.org/abs/astro-ph/0611746
dc.identifierhttp://arxiv.org/abs/astro-ph/0611746
dc.identifierMon.Not.Roy.Astron.Soc.375:773-792,2007
dc.identifierdoi:10.1111/j.1365-2966.2006.11343.x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175030
dc.subjectAstrophysics
dc.titleCompletely analytical families of anisotropic gamma-models
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