Thanks guys, I really apprecaite all your help and answers.
Let me answer this in the best way I know how, since I'm not as farmiliar with the technical jargon as you guys are
The dish I want is that Ku/Ka dish (which I believe is the AT-9, but I don't know for sure), just because I finally got a HDTV and I'd like to take advantage of it some time. Plus, antenna recpetion in Denver sucks badly, and that dish allows me, I believe, to get the local HDTV channels here.
If it can't be mounted on the railing (I don't even know if that big SOB can be mounted on a railing safely), which I'm not sure if that's allowed or not (I plan on getting my written approval on Monday, when I can technically say that I live there), I'm willing to sacrafice my deck area, even though as someone said, I would like room for at least my little weber grill

Just looking at the floorplan online, I want to say it's about 22 feet in length, and probably about 4-5 feet in width (maybe I'm mixing them up, but you know what I mean, I hope). It seemed pretty big, and there's an entrance to the patio from both my bedroom and the living room.
I do plan on going there tomorrow, and looking closer at the dishes that are installed on the other patios. I swear I saw a pretty big honking Dish network dish, on the same floor I'm on. I do want to get a closer look at it, but from my vantage point, it seemed to be on a tripod. I take it that work if it's weighted down properly.....