Obviously you don't know dogfight. And "Yes," if both side keep circling, they won't fire because they cannot lock on each other. Aircrafts not horse, there is no head to tail chase.
http://www.xys.org/forum/db/1/210/235.htmlI said it pretty clear: if two fighters keep circling, meaning that one on the tail of the other and both keep turning and fly in big circle. This is what people call merry-go-round. Sometimes fighters do this when they found that they are being tailgated, and hope this turn makes their tails overshoot, and they will gain offensive. However, aircrafts can't circle like this for very long since they will lost speed and drop. That why I said in the original article, if the communist pilot did tengential turn, the avoid the tail and chase the front, he couldn't have shoot the front during the turn because the bullets would simply overshoot.