Coon move before and after weather changes. If its hot and cools down- they move. If its cold and it warms up- they move.
Soft, misty nights in the 40s is about perfect for coon.
Moon- I've had some real good nights on full moon and bad nights- a lot depends on other factors.
What limit coon movement is a real drastic temp drop- they will slow down or hole up for a few days. Real windy nights aren't real good- and hard rain will cause coon to lay up.