Don't know about making the timing and connection automatic, but there are plenty of free streaming video recorders (
http://all-streaming-media.com/recor...g-software.htm) and also free screen recorders (try tucows.) Just need to start them. If you are depending on it, you proably want to manually monitor it anyway in case you have any connection/restart trouble. The broadcast will be posted on NASA but perhaps not as quickly as you want it.