I think the triggering of the rut is photoperiod, like rack attack mentioned earlier. Peak rut here is ALWAYS first week of november to around mid november. Has little to do with the moon. Deer are gonna wanna breed whether there is a full moon or a half moon, simple as that.
In the book tending and breeding phase. "When breeding begins scraping nearly ceases and bucks curtail much of the activity that took place throughout the rut's dominace, seeking and chasing phases. The phase usually begins five to seven days after the rutting moon and last for about 14 days. During this time 70 to 80 percent of the mature does will be breed".
That will usally cover the time period you are talking about. The question is what is the starting date????