How do the sun, moon, and Earth move, which one revolves around the other, and what are the proofs of their movement?

Scientific theories interpreting cosmic phenomena are mere possibilities, unlike established scientific facts such as the sphericity of the Earth. Examples of controversial scientific theories include theories of the sun's and earth's motion. The widely held belief that the Earth revolves around the Sun is not based on observational fact, but rather on the precision of calculations derived from the assumption that the Earth rotates around the Sun.