Answer:
Heliocentric:
- Explained planetary motions and brightness changes most simply.
Geocentric:
- Rooted in widely accepted religious beliefs regarding Earth's place in the universe.
Both geocentric and heliocentric:
- Predicted planetary positions accurately over relatively short time periods.
- Planetary orbits and motions based on Greek ideologies of perfect form and motion.
Step-by-step explanation:
In the configuration of the geocentric model, the Earth is in the center and the other planets and the Sun rotates around it in a circular motion.
On the other hand, in the configuration of the heliocentric model the Sun is at the center with the planets and the Earth in circular orbits around it.
The geocentric model had more acceptance by the civilization of the epoch since it was able to share the beliefs of perfect motion in the most perfect shape (which were circles for them) and with the Earth in the center of the Universe.
However, by centering the Sun, the heliocentric model was able to explain the motion of the planets in a more simple way. For example, the retrograde motion.