With the information from the two previous chapters, we are now ready to test the AVP on
real systems of galaxies. A complete algorithm for the determination of stationary
values for such a system will then be needed. A description of such a program, `AVP`,
in which any of the optimization methods from Chapter 4 can be inserted, will
be given in Section 5.1, where it also will be applied to a system consisting
of eight galaxies in the LG and the LN. Next, in Section 5.2, the N-body
code used to test the validity of the action solutions, `NBODY1`, will be presented.
`NBODY1` was kindly provided by the author of the code, Dr. Sverre Aarseth. The
different optimizing methods from Section 4.3 will be tested on the eight
particle system in Section 5.3, while in Section 5.4, the test
will be extended to a larger, more realistic, system of particles, consisting of 22 mass
tracers. These two systems of mass tracers will serve as two distinctly different
testing grounds, which, hopefully, will enable us to determine which optimizing method
work best for what type of system. Also given in Section 5.4 is a physical
discussion of the solutions of the larger system, trying to fit the model with
observations. All the calculations in this chapter were performed in double precision on
a Digital Personal Workstation with a 500 MHz 21264 Alpha processor (EV6).

- Implementation of the AVP
- N-body Algorithm
- First Evaluation of Optimizing Methods
- Orbits of Galaxies in the LG and the LN

Mon Jul 5 02:59:28 MET DST 1999