The Dynamical Inverse Problem for Axisymmetric Stellar Systems
Abstract
The standard method of modeling axisymmetric stellar systems begins from the assumption that mass follows light. The gravitational potential is then derived from the luminosity distribution, and the unique twointegral distribution function f(E,L^{2}_{z}) that generates the stellar density in this potential is found. It is shown that the gravitational potential can instead be generated directly from the velocity data in a twointegral galaxy, thus allowing one to drop the assumption that mass follows light. The twodimensional rotational velocity field can also be recovered in a modelindependent way. Regularized algorithms for carrying out the inversions are presented and tested by application to pseudodata from a family of oblate models.
 Publication:

The Astronomical Journal
 Pub Date:
 September 1996
 DOI:
 10.1086/118080
 arXiv:
 arXiv:astroph/9603160
 Bibcode:
 1996AJ....112.1085M
 Keywords:

 STARS: LUMINOSITY FUNCTION;
 STARS: MASS FUNCTION;
 GALAXIES: KINEMATICS AND DYNAMICS;
 Astrophysics
 EPrint:
 23 LATEX pages, 5 Postscript figures, uses AASTEX, epsf.sty. To appear in The Astronomical Journal, Vol. 112, September 1996