While the Solar System may be stable, the movements of the planets are not
as predictable as you would think. In fact, the whole thing is chaotic—an
N-body problem. For images of N-body problems and how they relate to the Solar
System see
http://blanche.polytechnique.fr/lactamme/Mosaic/descripteurs/demo_14.html.
For the basics of chaos mathematics, take a trip to the Chaos Experience
(http://tqd.advanced.org/3120/).