Satellites in lunar orbit
Do those satellites need to be smaller that what we're using in orbit around Earth ?
Due the Moon's reduced mass, of course.
I'm guessing that we can do geostationary around the Moon, but they might need to be at a lower altitude. In any case, I'm sure they'll get the details worked out. We've been managing satellites for long enough to know what to do. One might even say that there are no new technical difficulties in this project. The biggest hurdle will be, as always, getting the sats into space. Once they're there, the rest should not be a problem.