Another little thing comes to mind. In the episode after they achieve orbit Uhura mentions they are fast approaching the radio source she detected earlier. She mentions it is directly ahead of them (assuming she means pretty much in the same orbit as the Enterprise) and they are rapidly approaching it (how conveniently coincidental they get into the exact same orbit as the alien ship). However, when they first see the alien ship on the viewscreen they are seeing a side elevation view rather than directly from behind. Kirk then orders Sulu to match the alien's orbital velocity and we see the Enterprise slide in under the alien ship from behind (no insinuations intended). Now there is a logic flaw here in how this is depicted. If the Enterprise is approaching the alien ship, which is supposed to be directly ahead, then their first view of the alien should be from the aft rather than from the side. If they are seeing it from the side first then the alien was not directly ahead at all, but rather off to one side or other and they only happen to be at the same orbital altitude. If this was the case then Sulu would have had to maneuver the Enterprise in from the side and then slip in behind--a reasonable enough maneuver only thats not what the onscreen dialogue says is happening. So if we take the onscreen dialogue as describing exactly what is happening then what we are first shown on the bridge viewscreen is inconsistent with said preceding dialogue. It's a visual logic flaw due to a production shortcut to simply use the one main image of the alien ship. Now, more realistically, if the Enterprise is approaching the alien rapidly then logically the Enterprise should be at a higher orbital altitude given it is presently orbiting faster than the alien vessel. As Sulu slows the ship down to match the alien's orbital velocity then the Enterprise would also lose altitude to match the alien. So realistically when the Enterprise is first appraoching the alien ship they are above as well as aft of the alien. And if one insists on sticking with the first sight of the alien being from the side then the Enterprise was also off to the side of the alien rather than directly behind. One can interpret this one of two ways. Either one accepts the production shortcut showing an incorrect view of the alien vessel and being inconsistent with the preceding dialogue, or one accepts Uhura's initial report that the alien was "directly ahead" as being not really accurate. OR...I'm giving this way too much thought as I work on this thing.