The closer you hold your thumb to your eyes, the larger the shift in your thumb's apparent position will be. This change in the Earth's location must cause the nearby stars to shift in apparent location relative to more distant stars. This shift in the position of nearby stars, called stellar parallax was searched for by astronomers from antiquity onward. However, prior to the invention of the telescope, stellar parallax was not observed. This is the hypothesis put forward by the supporters of the geocentric universe.
Stellar parallax exists, but it is too small to be detected, because the stars are too far away.
This is the hypothesis put forward by Copernicus and other supporters of the heliocentric universe. The resolution of the unaided human eye is about 1 arcminute. For the Sun's nearest neighbor, the star Proxima Centauri, the total shift in position due to parallax is only 1.5 arcseconds. The distance to Proxima Centauri is 270,000 A.U., equivalent to 4.2 light years. The Earth does revolve around the Sun.