Since you presumably have no points (ie: it was your first ticket ever)...just pay and move on.
Even if you fight it, they often still charge you court costs, which ironically are about the same as the price of the ticket. This is in addition to you taking time to travel back to be at the court.
Problem is the Cop not only has the radar output. He also gets the benefit of the doubt in a "he said, she said" situation as the court presumes he doesn't benefit...of course that ignores the fact that he has a quota (even if it's not official) and benefit by not getting in trouble for missing his quota (yes, they will word it to not be a quota but it amounts to the same thing).