All the models explain retrograde motion because it is such an obvious phenomenon. In Copernicus's model an outer planet goes into retrograde motion when the inner planet overtakes it so that it appears from the inner planet to be going backwards along the ecliptic.
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Copernicus explained the retrograde motions of the planets by proposing that the Earth and the other planets revolve around the Sun in circular orbits. He suggested that the appearance of retrograde motion was a result of the varying speeds at which the planets orbited the Sun.
Ancient astronomers found it difficult to explain apparent retrograde motion because they believed the Earth was at the center of the universe and all celestial bodies revolved around it in perfect circles. Retrograde motion conflicted with this geocentric model, leading to complex explanations involving epicycles and deferents. It wasn't until Copernicus proposed a heliocentric model that retrograde motion could be better understood as an illusion caused by the relative speeds and orbits of planets.
Copernicus challenged Aristotle's theories of planetary motion due to observations that didn't align with the geocentric model, particularly the retrograde motion of planets. Through his own observations and mathematical calculations, Copernicus proposed a heliocentric model where the Earth and other planets revolve around the Sun, providing a simpler explanation for the observed phenomena in the sky.
Both Copernicus' and Ptolemy's models aimed to explain the motion of celestial bodies in the sky. However, Copernicus placed the Sun at the center of the universe, while Ptolemy's model had Earth at the center. Both models used the concept of epicycles to explain the retrograde motion of planets.
Copernicus proposed a heliocentric model of the solar system where planets revolve around the Sun, providing a simpler and more accurate explanation for celestial motions compared to Ptolemy's geocentric model where planets were believed to orbit the Earth. Copernicus' model was more consistent with observed planetary movements and laid the foundation for modern astronomy.
Copernicus proposed a heliocentric model, where planets revolve around the sun, while Ptolemy's geocentric model placed Earth at the center of the universe with planets orbiting around it. Copernicus' model helped to explain retrograde motion more simply than Ptolemy's epicycles.