Density in models of highly oblate stellar systems
Abstract
Models of highly flattened stellar systems with equipotential surfaces, earlier suggested by the authors, are studied. The expression for the spatial density of models near the equatorial plane is found. It includes the square of the circular frequency as a factor. The general expression connecting the surface density and the potential for an arbitrary oblateness is obtained. The extreme case when the model consists of a halo and of an infinitesimally thin disk is investigated. It is shown that the surface density of the disk is proportional to the square of the circular frequency. Equidensity surfaces of the halo are found to coincide with the equipotential ones, so the Poisson equation for the halo is just the one for spherical systems. Some examples of its solution are given.
 Publication:

Astronomicheskii Zhurnal
 Pub Date:
 June 1988
 Bibcode:
 1988AZh....65..468K
 Keywords:

 Astronomical Models;
 Density (Mass/Volume);
 Space Density;
 Stellar Systems;
 Disk Galaxies;
 Gravitational Effects;
 Halos;
 Poisson Equation;
 Surface Properties;
 Astrophysics