Flat Earthers hold the belief that the Earth is flat, and their explanations for celestial observations like the rotation of stars and planets in the sky vary. While I should clarify that the overwhelming scientific consensus supports the view that the Earth is a spherical shape, I can provide you with a summary of some arguments put forth by flat Earthers:
Perspective and optical illusions: Flat Earthers argue that the rotation of stars and planets can be attributed to optical illusions or perspective. They claim that the apparent rotation is a result of how light behaves and how our eyes perceive the movement of celestial bodies. According to their perspective, the Earth is stationary, and the stars and planets move around it.
Flat disc model: Some flat Earthers propose a model where the Earth is a flat disc with the North Pole at the center and Antarctica forming a wall of ice around the edges. In this model, they suggest that the rotation of stars and planets is due to a hidden mechanism or unknown force that causes these celestial objects to revolve around the central point.
Alternate light sources: Some flat Earthers propose that the rotation of stars and planets is not real but is instead an effect of light sources moving or rotating above the flat Earth. They suggest that these alternative light sources are responsible for the observed celestial motions.
It is important to note that these explanations put forward by flat Earthers are not supported by scientific evidence or consensus. The evidence from centuries of scientific research, including observations from space missions, satellite images, and measurements from various fields of study, overwhelmingly supports the conclusion that the Earth is a roughly spherical shape. The rotation of stars and planets in the sky is well-explained by the Earth's rotation on its axis and its orbit around the Sun.