The long-term fate of the planets in our Solar System has intrigued astronomers and mathematicians for over 300 years. Although the planetary orbits are often held up as a model of clockwork regularity, the Solar System is in truth an extremely complex and chaotic system. Dr. Gregory Laughlin of the University of California, Santa Cruz explains how recent advances in computing technology have finally given us a solution to the problem. He also shows how the delicate gravitational interplay between the planets can be interpreted as a true "music of the spheres", and auditions the unsettling compositions that can result in the event that the planetary orbits go haywire in the extremely distant future. Recorded October 20, 2010.