When did Kepler prove Copernicus' theory was right?

Kepler did not directly prove Copernicus' heliocentric theory but built upon it with his own findings. Between 1609 and 1619, he formulated his three laws of planetary motion, which provided a mathematical framework that supported the Copernican model. His laws demonstrated that planets move in elliptical orbits with the Sun at one focus, thereby proving that the Earth and other planets revolve around the Sun in a predictable manner. This work significantly advanced the acceptance of the heliocentric theory.