So, since MP hasn't been working very well for me, I decided to play around with my singleplayer career mode. I had installed Interstellar a while ago, and found out that the A.I. cores get a ton of research with a tiny bit of effort. I put up a core with a nuclear reactor that I figured would last a while, put on 100000x warp, and went to class. I came back with 1500 science, and a dead reactor, therefore a dead piece of debris around the Mun. I improved on my design (actually, I didn't even have a design for the first one) and basically created a satellite core for my next A.I. Science Satellite, so I could remove and add nuclear reactors and such. Once I got the core and a reactor into orbit, I added a science lab section populated by 2 Kerbals so I could regenerate most of the uranium I used up, keeping this satellite going for much longer than the other, which was still orbiting the Mun dead. I also included 4 escape pods, just in case. After I docked everything, I realized that... I had a port on my dead Satellite. I quickly (actually, really slowly) sent my new A.I. Science Sat with 2 Kerbals to the Mun, and almost cried because I couldn't undock the engine attached to the first Satellite. After I rendezvoused, I figured out a plan, and, quickly spinning my working Sat right next to the broken one, launched one of the escape pods off of a dock using centrifugal force, and apparently aimed well enough to blow up the engine section, leaving one open port. I then rearranged some stuff (I redocked the smaller nuclear generator that the new Sat uses where the escape pod had been, and accidentally took out a set of solar panels (whoops)), and docked to the old A.I. Satellite. I now have a Satellite around the Mun at 200km or so with 2 working A.I.s and a Science Lab manned by Kerbals giving me roughly 2 science a day, and it will be able to stay there for a huge amount of time, netting me enough science to complete my Interstellar KSP tree and allow me to make a few upgraded Alcubierre drives.
Satellite below