I don't know. I imagine if I saw it I would know. It would have to be strong enough to somehow overcome Rowbotham's proof against it.
However Rowbotham has made many mistakes and assumptions in his proofs. This calls into question the validity of his results (it doesn't disprove them, just calls into question their accuracy). This means that they can't be considered
"the" proof of a FE without further evidence. Also, as others have attempted to repeat Robotham's experiments and got variable and some conflicting results, we have to considder, even if you think it unlikely, that Rowbotham might be wrong.
Also, as was shown in Google Earth, even using a Round Earth model, where the actual shape is not determined by reality, but the data that supports a Round Earth and the maths, that Rowbotham's results were able to be reproduced. As Google Earth definitely has a Round Earth, and Rowbotham's results were repeated on it, then there is no way that Rowbotham's experiments can actually determine the truth one way or the other.
The only real evidence that can be considered in a case like this is evidence that disproves one or the other as evidence that can support both is not really useful at all.
So, any evidence must be:
1) Reliable (ie we can check to see if it has been made up or faked in any way)
2) Repeatable (it has to not only occur due to specific conditions as FE and RE are global/planar phenomena)
3) Discriminatory (no, not in the derogatory sense, but that it allows us to discriminate between the propositions)
Would you agree that if this could be achieved then it would allow us to resolve this issue?