Can I accurately plot the orbits of our solar system's planets using equations?

[Breyyne]

I have been searching the internet for the last few days with no luck, due probably to the improper phrasing of my searches, for what I think is a fairly straight forward set of answers.

Basic Question: "Are there equations to graph the orbits of our solar system's planetary bodies on to a graph?"

Expanded: Assuming a static model of our solar system (one in which simulated for millions of years outward would show no deviation in the orbits), Is the a set of equations to plot the stellar bodies onto a grid based on a date/time given for earth?

I would like to be able to create essentially a solar system model in a computer than is bothering with Newtonian physics or whether planet a will crash into planet b. Basically, I want to write a program (possibly later incorporate it into a game) that will give me a distance from any two orbital bodies given a date/time. This would be somewhat the equivalent to solar system models made for elementary science fairs.

 

[Philosophaie]

You can find a good appromation (3000BC to 3000AD) from the JPL site:

http://ssd.jpl.nasa.gov/?planet_pos