An Axisymmetric Distribution Function for the Galactic Bulge

Abstract

We describe a method for parameterizing two-integral distribution functions, based on triangular tesselations of the integral plane. We apply the method to the axisymmetric isotropic rotator model for the Galactic bulge of Kent~(1992), and compare the results with observations of proper motions in Baade's Window, and with radial velocity surveys. In spite of mounting evidence from surface photometry and from study of the gas kinematics that the Galactic bulge is not axisymmetric, the stellar kinematics in Baade's Window are very similar to those of an isotropic oblate rotator. Another field at large radius does not fit this model, though. In any case, the edge-on kinematics of a hot stellar population are a poor handle on the existence or otherwise of a bar.