Analytical models for galactic nuclei

1995/09/30 by Hongsheng Zhao, HongSheng Zhao · 18 citations
Physics and Astronomy · #Astronomy and Astrophysical Research #Astrophysics #Black hole (networking) #Circular symmetry #Classical mechanics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Galaxy #Physics #Poisson distribution #Poisson's equation #Quantum mechanics #Simple (philosophy) #Statistical physics #Velocity dispersion #astro-ph

paper · pdf · doi:10.1093/mnras/278.2.488

published as Mon.Not.Roy.Astron.Soc.278:488-496,1996 · MNRAS in press. errors in Eqn 12-13 corrected; 17 pages with 1 table in an uuencoded compressed PS file. Also available at ftp://ibm-1.mpa-garching.mpg.de/pub/hsz/analy_nuc_mod.uu Hardcopies are also available by request

arxiv created 1995/12/11 · openalex publication_date 1996/01/11 · arxiv updated 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

I present a general family of dynamical models with simple analytical potential-density pairs suited to modelling galactic bulges and nuclei with double power-law radial density profiles and an optional central black hole. Analytical expressions for the potential and velocity dispersion of these models are given for the spherical case. Many previously known analytical spherical models, including the recent γ/η-models by Dehnen and Tremaine et al., are special cases of this family. The family also forms a complete set for constructing general galaxy models or solving Poisson's equation in the non-spherical case. In particular, a generalized Clutton-Brock and Hernquist-Ostriker orthogonal basis set is given.

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