The Geocentric Theory states that the Earth is the center of the universe, and that all other objects orbit around it. The Heliocentric Theory states that the Sun is the center of the universe, and all other objects orbit around it. Of course, the Heliocentric Theory is correct, since all astronomical objects orbit around the Sun.
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Geocentric theory
Geocentric theory
The heliocentric theory is the idea that planets rotate around the sun, where the geocentric theory said that everything orbited around Earth.
The Geocentric or Ptolemaic Model put the earth at the center of the Universe. The Heliocentric Model postulated by Copernicus and, before him, Aristarchus, places the Sun at the center of the Solar System. Galileo's observations proved the validity of the Heliocentric Model.
Heliocentric = The Sun is at the center of our solar system. Geocentric = The Earth is at the center of our solar system. Insisting the Sun is at the center, which it is, once very much angered the church.