This is a very old question that has already been addressed, See Michaelson in Morley experiment. Even if there were a difference, what you're suggesting wouldn't work. Besides using earths rotation wouldn't be necessary considering earths orbit around the sun is much faster.

This is a very old question that has already been addressed, See Michaelson and Morley experiment. Even if there were a difference, what you're suggesting wouldn't work. Besides using earths rotation wouldn't be necessary considering earths orbit around the sun is much faster.