Selfconsistent Models for Triaxial Galaxies with Flat Rotation Curves: The Disk Case
Abstract
We examine the possibility of constructing scalefree triaxial logarithmic potentials selfconsistently, using Schwarzschild's linear programing method. In particular, we explore the limit of nonaxisymmetric disks. In this case it is possible to reduce the problem to the selfconsistent reconstruction of the disk surface density on the unit circle, a considerably simpler problem than the usual two or three dimensional one. Models with surface densities of the form {SIGMA} = [x^n^ + (y/q)^n^]^1/n^ with n = 2 or 4 are investigated. We show that the complicated shapes of the "boxlet" orbit families (which replace the box orbit family found in potentials with smooth cores) limit the possibility of building selfconsistent models, though elliptical disks of axis ratio above 0.7 and a restricted range of boxier models can be constructed. This result relies on using sufficiently fine bins, smaller than the 10^deg^ bins commonly used in two or threedimensional investigations. It also indicates the need for caution in interpreting N body models of triaxial halos in which the core of the potential is numerically smoothed.
 Publication:

The Astrophysical Journal
 Pub Date:
 May 1993
 DOI:
 10.1086/172642
 Bibcode:
 1993ApJ...409...68K
 Keywords:

 Galactic Halos;
 Galactic Rotation;
 Galactic Structure;
 Linear Programming;
 Celestial Mechanics;
 Disks (Shapes);
 Fourier Series;
 Astrophysics;
 CELESTIAL MECHANICS;
 STELLAR DYNAMICS;
 GALAXIES: KINEMATICS AND DYNAMICS;
 GALAXIES: STRUCTURE