Numerical problems to be solved in astronomy

Hello everyone,

I wanted to experiment with parallel programming for pcs. And I was
wondering if there was a problem dealing with astronomy that I can try
solving by using parallel programming. I am looking for problems that
deal with equations of any type basically like calculating a planets
position for the next 100 years or so. But I would like to see if
there are other things other can calculating an ephermeris that I can
do that would be interesting and on a topic that everybody would like
some computed data on. Any pointers to websites or books would be very
helpful.

Thanking you all,

Zefram Cochrane