During the Miracle of the Sun at Fatima, did the stars and moon also move, and what is the geocentric explanation?

You do not need a geocentric or heliocentric explanation, because this was a miraculous act of God, not a cosmological event. All we know is what was reported: the newspapers in Portugal described the sun moving, dancing, and changing colors, seen by the seventy thousand present and by no one else in the world, with no disruption to the rest of the universe. Anyone who can do that, controlling the appearance for only a certain group of people, has to be extraordinarily powerful. It was designed that way as a gift to ordinary people who, like those who could not see Our Lady speaking to the Fatima children or to Bernadette, could have a miracle of their own so they would know God's message was true. Given the tensions between the World Wars, God gave the miracle as a sign that He was in control and that His warning, that a worse war would come unless Russia was consecrated, was real and not a hallucination. So it accepts as a miracle or it does not; there is no in between, and it has nothing to do with cosmology in general.