X31 Power On Problem

[faberryman]

I am having a problem powering on my X31. When I press the power button, the little lights come on and the hard drive spins, but it shuts off after about three seconds. If I press the power button again, nothing happens. I have to remove the battery, or unplug the AC adapter and remove the battery if I am running on AC, and then reinsert the battery and/or AC plug. I then press the power button, the little lights come on and the hard drive spins, but it shuts off after about three seconds. I go through this dance until I run out of patience, and then give up. If I come back a couple of hours later, it may or may not start normally. As you can imagine, it's driving me nuts. The battery seems fine; it runs for over two hours per charge.

Ideas?