Well I can tell you it's NOT a dead battery. I have the exact same problem with my old Macbook Core Duo. I have several old batteries and a couple of new ones, and all cause the same behavior. 1) All batteries will charge 2) Adapter LED goes from orange to green, and the batteries peak at 97-100% 3) Macbook will only turn on when plugged in. 4) If not plugged in to AC, Macbook will spin up the drive, no chime, then spin down. Of what I can find online, it's either something wrong with the battery connector circuitry, although everything, even coconut battery utility, says everything is within normal limits. Or it's the logic board.