Find stabilizer fins is an objective in the Story Mission, Shooting The Moon in Borderlands 2: Commander Lilith and the Fight For Sanctuary
- Go to the middle of the Eastern side of the Maintenance Corridor and look for an open archway to the South.
- Head through this to reach the next area, the Hold.
- Inside here, you will encounter a few more Loaders: Hacked EXP, Hacked GUN, and Hacked Hot.
- Defeat the initial 3 and look along the Southeastern side of the room to find the first Stabilizer Fin.
- The Second Stabilizer Fin sits to against the middle of the Southern wall on a machine.