Please don't hold that against me. James Hanson does not have an earned Ph.D. although he was promoted to full professor because of his long established history of quality publications in his area of numerical methods and symbolic manipulation languages. The current cosmology is technically NOT heliocentric. No modern astronomer believes the sun is the center of the universe. The sun is one of many stars orbiting about our galaxy and the galaxy itself is not at the center.
Current cosmology is acentric.
Decisive refutation of geocentricity is not as obvious as it may seem. The first of these is the conclusion of the Michelson-Morley experiment. Hence the theory of relativity presumes non-geocentricity. In fact, Ernst Mach worked out the physics as to how it could be done. He, of course, was not a geocentrist, but proposed a model for how one could approach the problem from a geocentric perspective.