Looking back over StupendousMan's post, and thinking about the replies of a couple of other posts I was wondering about near the beginning of this thread, I think there might be a bit of a misconception about what the program is actually doing. There are simulations of galaxy formation and orbittal programs and such, and they are pretty nifty, but this program is nothing like that. In fact, it is not even a simulation. It's like freeze-framing a galaxy and just finding the accelerations for particular distances with a particular density distribution, and then for what the orbittal speed would be with that acceleration at that distance, using ordinary Newtonian gravity, without actually putting the galaxy in motion or simulating the orbits of individual stars and such. If I had been able to work out the full integration for a disk and/or other disk-like shapes to find the acceleration of gravity at some distance from the center of the body, then I wouldn't have needed the computer program to begin with. It would have just come out to some simple formula, like a = GM/r^2 does for a sphere. But since I just kept getting elliptical integrals and such for the result of the integrations, which require integrations or summations for them as well, then a computer program is the best and quickest way to go with that, so it is simply performing the mathematical application to finish the integration for finding the acceleration and orbittal speed at some distance from the center of a body with a particular shape and density distribution, more like just a fancy calculator than a simulation. Of course, using a computer program to find the required density distribution for the reverse problem does make life a heck of a lot easier for that also.

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Let's put together the pieces of The Grand Puzzle . (website)

"Let's define another operator, Sz, which we won't pay any attention to."
"This transformation will automatically make zero equal zero."
"It may be true that zero equals zero -- and that is certainly an equality -- but I don't want to go into the details at this time."