I have noticed that I typically see more deer movement during a waxing crescent moon. I also see more deer movement just before a strong front comes thru.
I believe they get up and move around to feed, crap or piss every 4-6 hours. I watched a 6 point the Tuesday before Thanksgiving when it was pouring rain, feed in the field beside my house at 8AM. I seen him again at 12:15 PM, just as the rain let up some.
I'm sure alot of that same stuff affects mature bucks movement the same as it does other deer, but I think the one thing that affects a mature bucks movement more than anything else is the rut.