Analytical models for galactic nuclei

Hongsheng Zhao*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

393 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)488-496
Number of pages9
JournalMonthly Notices of the Royal Astronomical Society
Issue number2
Publication statusPublished - 1 Jan 1996


  • Celestial mechanics, stellar dynamics
  • Galaxies: kinematics and dynamics
  • Galaxies: nuclei
  • Methods: analytical


Dive into the research topics of 'Analytical models for galactic nuclei'. Together they form a unique fingerprint.

Cite this