Please note that I am not saying that qualified expert opinion is infallible. Obviously, it is not. But when a consensus among rigorously trained, qualified experts exists, it places the burden of doubt on those who would oppose it.
I am prepared to reject the views of the experts on the matter of the earth's sphericality: but the reasons had better be really, really, really, really good! If I do a few experiments and seem to get the result that the earth is flat....it is overwhelmingly more likely than not that I have misunderstood something or made a mistake.