I believe I do have a timeline of events that you might find revelatory.
At 3:30am, Newt is watching television in the common room of the school at which he teaches. He is with two students from his Physics class and one other teacher.
They are watching coverage of the moon landing, which is due to take place within the next half hour, when they are discovered by an irate senior teacher, Mrs. Mill.
Newt asks to speak to Mrs. Mill outside the room. Once outside, she insists that they stop watching and asks Newt if he plans to defy her authority in front of the students. He says that he would not do that, but he thought he might very quietly defy it out here.