The projection of galaxy models with a Staeckel potential
Abstract
The projected density of a galaxy is shown to be simply related to the projected potential. The properties of the projections of Stackel potentials are explored. Projected Stackel potentials have two symmetry axes, and satisfy a simple general equation, comparable to the general equation for a Stackel potential. Deprojection of these potentials is generally nonunique, even if we have set the axis orientation. Similar results are obtained for the projected density distributions of mass models with a Stackel potential. One of the consequences is that these triaxial mass models show no twist when projected. Models with a Stackel potential are a subset of an extensive class of triaxial models which project to symmetrical distributions. Implications for the interpretation of surface photometry of elliptical galaxies are discussed.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 March 1988
 DOI:
 10.1093/mnras/231.2.285
 Bibcode:
 1988MNRAS.231..285F
 Keywords:

 Astronomical Models;
 Density (Mass/Volume);
 Galactic Structure;
 Mass Distribution;
 Elliptical Galaxies;
 Potential Theory;
 Stellar Mass;
 Symmetry;
 Astrophysics