I assume the grounding wire will be outside? I would be more concerned with how it holds up to the elements. Radio Shack sells (I'm sure there are cheaper sources) 40 ft. of aluminum grounding wire for $6.99. It says 8 gauge.
The purpose of grounding an antenna is to get rid of an electrical charge from a lightning strike. I have one in my attic and don't consider it necessary to ground. If the antenna is touching metal (which would not be a good thing anyway) that connects to outside the house, it could be a problem. If you have an outdoor satellite and use your attic antenna for over the air reception and it is connected via a diplexer or via cable I guess it could be possible for a problem.