(March 13, 2015 at 12:05 pm)SteelCurtain Wrote: This. Specifically the n-Body Problem.
Depending on how accurate you want the solution to be, you have to introduce how the planets interact with each other as well how the planets interact with dwarf planets/asteroids/comets/satellites.
A Commodore 64 would be fine mapping how the planets interact with the sun. But introduce all that extra stuff, and you'll be looking at:
If we consider a set of sun-planet systems only we can basically have several separate two-body problems which behave accordingly to Kepler's laws. There's no need to introduce small stuff to instantly make the problem much, much harder. Introducing Jupiter's perturbations is just enaugh.
By the way, what form of equations of motion did you use in your simulation on a C64?