Thanks to the miracles of the internet, I’ve come across a sweet solar system simulator tool from the University of Colorado.  The applet is part of their PhET program, a portion of their website dedicated to simulations that “improve the way physics, chemistry, biology, earth science and math are taught and learned.”  Pretty neat actually (not NEET you NHK fanboys), a lot of cool simulations besides the solar system one.  Never found a better way of visualizing the space version of “the sling shot.”

Anyways, check it out, the link to the solar system simulator is here.  You can see a full list of available simulations here.