Turns out the Vasari faction I pinned back came after me quite soon. My main fleet was away defending another system, but I had time to pull back to the new terran world and meet their fleet. Their forces consisted of a superior number of light frigates as well as two capital ships to my one, but I had home field territory consisting of a pair of gauss cannons and a reinforcing frigate factory.
They didn't stand a chance, and lost an all-important capital ship in the process. They tried to retreat, but to no avail, as the video demonstrates.