Deferent and epicycle in the context of "Apparent retrograde motion"

Copernican heliocentrism is the astronomical model developed by Nicolaus Copernicus and published in 1543. This model positioned the Sun near the center of the Universe, motionless, with Earth and the other planets orbiting around it in circular paths, modified by epicycles, and at uniform speeds. The Copernican model challenged the geocentric model of Ptolemy that had prevailed for centuries, which had placed Earth at the center of the Universe.

Although Copernicus had circulated an outline of his own theory to colleagues sometime before 1514, he did not decide to publish it until he was urged to do so later by his pupil Rheticus. His model was an alternative to the longstanding Ptolemaic model that purged astronomy of the equant in order to satisfy the theological and philosophical ideal that all celestial motion must be perfect and uniform, preserving the metaphysical implications of a mathematically ordered cosmos. His heliostatic model retained several false Ptolemaic assumptions such as the planets' circular orbits, epicycles, and uniform speeds, while at the same time using accurate ideas such as: