This location is not accessible on disc 4
Your first visit to the Lunatic Pandora Laboratory is as Laguna. Talk to the other workers downstairs until you get into a sequence of battles. Afterwards, you'll head up meet Dr. Odine. You can listen in on his conversation for some time. Pick up the issue of Weapons Monthly the second time you're in the lab. You'll end up in Dr. Odine's Laboratory after this sequence.
You can come here with the party later, but there's nothing new to find.
You can come here with the party later, but there's nothing new to find.