Flight control surface authority question.

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Strike_42
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Hey everyone,

I'm trying to figure out what formula I would use to find the authority a flight control surface (not a wing) would have when deflected. I've been searching and searching for information, but if anyone has done some similar calculations, the help would be greatly appreciated!
 
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Not a simple question, as the industry still encounters problems here, even in fairly mature aircraft.
For instance, the prototype C130J was lost because of inadequate control authority in a flight test.
Plus the authority can vary depending on the air flow around the control surfaces.
So the basic calculations are just a beginning.