From the Long Now Blog:
10,000 Years of star motion Credit: NASA, ESA, and G. Bacon (STScI)
Apparently astronomers focused Hubble on a certain region of Globular Cluster Omega Cantauri several times over 4 years. They were then able to calculate how each of those stars will move in the next 10,000 years. You can see a video of this after the jump on their site here.