The satellite can be seen passing between Serenitatis (the dark region on top) and Imbrium (the dark region to the right). It goes between Autolycus and Aristillus Craters and across Archimedes. I played it in slow motion and it seems to me that it's spinning in the roll axis. If you enlarge the video, you'll see some kind of antenna or solar panel sticking out of the end of the satellite.
Tags: moon lunar satellite orbit LEO low earth orbit