I had already re-installed the software and swapped the memory. This was one of (possibly) thousands of defective powerbooks. A cable was touching the case and pressure caused the powerbook to short circuit.
I found the solution here:
http://www.posner.net/marc/projects/TiBook/TiBook.html
It's pretty amazing that Apple has not discussed this problem. A little bit of scotch tape goes a long way.