Kepler's laws don't prove heliocentricity, they prove that the sun is at one focus of elliptical planetary orbits. The Earth is the other focus. Kepler couldn't find the second focus because he was standing on it.
Kepler’s Laws
Astronomers Find a Huge Diamond in Space
If you really want to impress your favorite lady this Valentine’s Day, get her the galaxy’s largest diamond. But you’d better carry a deep wallet, because this 10 billion trillion trillion carat monster has a cost that’s literally astronomical!
Giant ‘Mirror’ Planets Found in First-of-Its-Kind Experiment
MOUNTAIN VIEW, California - Planets orbiting other stars are running out of ways to hide. For the first time, astronomers have used reflected starlight to tease out the possible presence of 60 large, roasted worlds.
Winds of Rubies and Sapphires
An exoplanet 16 times bigger than the Earth has shown signs of powerful changing winds, say researchers.
Effect and Cause
Why are planetary orbits elliptical? We've considered this as an example of how to understand frame of reference, but Newton supposedly solved this problem mathematically in Principia Mathematica:
Geocentrism, Geocentricity and Flat Earth
Matty's Paradigm is neither Geocentrism, Geocentricity nor Flat Earth