The name is of the general theory where celestial objects revolve around the Earth is known as the Ptolemaic system.
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The heliocentric theory is the theory that the sun is the center of the universe, not the earth.
geocentric theory
Brahe's theories revolved around the ptolemaic system, where Earth was the centre of the Universe. Copernicus stated that the Earth is not the center of the Universe, but we revolve around other masses as well.
Copernicus
The Earth was the center of the universe and the "heavenly bodies", such as the moon, sun, planets and stars, rotated in their own spheres around the Earth in a pattern. The order of spheres from Earth outward are:MoonMercuryVenusMarsJupiterSaturnFixed starsSphere of Prime Mover