Full moons make for a wonderful setting for criminal activity, as we find in detective novels. It's that night when the gruesome murderer commits the ghastly crime and is seen by a non-descript, aged neighbor. The neighbor's claim to credibility in the witness box is the fact that there was a full moon on the night in question and everything was there for all to see; it was only a matter of chance that he or she was the only one to spot it! Full moon nights also offer the perfect cover for the snooping detective to hide behind the bush with his dim-witted assistant in tow.
The conspiracy that Fox missed (well, they do miss a lot) is called by its adherents "Alternative 3". Its promoters are shadowy individuals like Bill Cooper, a formal US Naval Briefing Team member with access to state secrets, who claims that an advanced American space presence is a reality. In Behold a Pale Horse, he reports that "A moon base, Luna, was photographed by the Lunar Orbiter and filmed by Apollo astronauts... I can say that 'Alternative 003' (a British TV documentary on this subject) is at least 70% true from my own knowledge and the knowledge of my sources."
Full moons on different days. Where you live on earth rarely makes a difference as to whether the moon is full, quarter or new. This is because it takes the moon almost a month to travel around the earth and it only takes a day for the earth to turn around once. So in comparison, the moon sort of sits in the sky and waits for us to see what phase it is in. Still, there are times when the moon will be full on different calendar days in different areas of the earth.