Normally when you shoot, the mirror is down so you can look through the viewfinder. When you take the shot, the mirror flips up and the shutter opens and shuts as required. The mirror moving up and down creates a bit of shake. With mirror lock up - it'll be a setup menu option normally - the mirror lifts up and the you take your shot (so there's no additional shake). Of course you need to focus and frame your shot prior to locking the mirror up.
Stack shots are when you take say 8 shots, each of 30 minutes and then overlay them on top of each other - fairly self explanatory
As a sidenote I'd suggest that this should be put with your other thread - seems a bit silly making another thread on basically the same topic.
EDIT: Get a star map and focus on Polaris - it'll stay still and all the other stars will appear to wheel around it.
"Canon EOS 1v Body, EF 17-35mm f2.8 lens (@17mm/f2.8), Tiffen FL-D filter, Velvia film (rated at 40ASA), 3.5 hour time-release exposure."
I believe you get a LOT more leeway with film though