Here is my 100% Achievement Guide for Deliver Us The Moon!
This is located on chapter 3 (Copernicus Moonhub) and is a slight pain in the ass.
So, there is a rogue ASE in the middle of the room after you open the door (Code is 2032) and basically shocks you if you take too long.
Your job is to run from pillar to pillar (only 3 to do) get to the other side and take the canister out to shut him down.
Now, i tried sprinting until i got to the second one, tried another method, but what actually worked for me was....
Try and stay on the inside (Close to the ASE, Don't worry theres a rail there), this is IMPORTANT!
Rather than edge towards the ASE, then you sprint. I feel it was a lot more beneficial to actually back away a little bit, and then sprint past it. With that, you have more momentum to run past, rather than starting off slowly and getting shocked at the very end.
For the next part, i waited until the ASE completely died down. So once its green lasers power down, and he looks all powered down... Back up, then start your sprint towards the next pillar..
Doing that ensured me i did it first time!
Go to 1:09:40 to see how i did this!
Hope This Helps!