Aristotle believed motion was either natural or violent. Natural motion involved straight upward or downward movement, while violent motion resulted from a push or pull. Ptolemy altered Aristotle's model, placing Earth stationary at the center of the universe with planets orbiting in loops. Copernicus formulated a model with Earth and planets revolving around the Sun in circular orbits, contradicting the accepted model. Kepler discovered through Brahe's observations and his own that planets move in ellipses with the Sun at one focus.