Wow, the search really is a difficult concept for people.
Been discussed, by better scientists than you as well.
The results of those studies are highly reliant on what you assume the shape of the earth to be. If the earth is assumed flat, the sun will be measured at 3000 miles distant traveling in the trajectory predicted by FET (thanks to this experiment).
It is not a proof of FE or a proof of RE. It is an experiment on the distance of the sun, which requires an assumption of the earths shape. If you're trying to prove the earth is round by assuming it is, then next time assume yourself on another set of forums.