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**Session 11 - Elliptical Galaxies.**

*Display session, Monday, June 10*

*Great Hall, *

## [11.03] Perfect Elliptic Disks with Minimal Angular Momentum

*S. Levine (Obs. Astro. Nac., UNAM, Mex.)*

Two dimensional perfect elliptic disk models with minimal streaming
were tested for stability by N-body integration. The perfect elliptic
disks are the two dimensional limiting case of the perfect ellipsoids,
in which the density is stratified on concentric triaxial ellipsoids,
and the potential is exactly integrable: they could be viewed as
models for both galactic bars and elliptical galaxies. Distribution
functions f(E,I_3) which self-consistently reproduce the density
distribution can be found numerically but are not unique: the angular
momentum can vary from a maximum to a minimum value. The
maximum-streaming models were investigated by Levine amp; Sparke (1994);
here results are presented for the minimal angular momentum case. A
modified marching scheme was used to compute the relative
contributions to the final disk model of first a set of loop orbits,
and then a set of box orbits. The placement of particles along the
orbits for the N-body integrator was done with a ``quiet start''
technique which makes the distribution of particles as smooth as
possible, thus minimizing initial random perturbations. All of these
methods can easily be extended to work for integrable potentials in
any number of dimensions.

**Program
listing for Monday**