Here is my 100% Guide for Deliver Us The Moon!
This is at the end of chapter 1 and it is immediately after you climb the ladder to get into the rocket.
What you are meant to do here is flick some switches and pull some levers to get going.
Instead, simply wait out the timer (Usually around 20-25 seconds) until you see a cut-scene of your rocket.. well.. Not taking off.
Simply wait and do this part 5 times until the achievement unlocks, then you can be on your way :)
Go to 17:05 to see how and where this unlocks.
Hope This Helps!