And they called Barnabas, Jupiter; and Paul, Mercurius, because he was the chief speaker.
(Acts 14:12) NKJV
Any time someone uses the moons of Jupiter as proof of heliocentricity they’re demonstrating that their knowledge of the subject matter is at or below a superficial level.
The moons of Jupiter are observed from the Earth, therefore they’re empirically Geocentrospheric. This is exactly the same argument as the phases of Venus, it’s of interest in its historical context, but it has no bearing on the relative merits of the heliocentric or Geocentrospheric models.
Jupiter has moons. So what? Jupiter and its moons orbit the Earth/sun system in the geocentrospheric model. Just as Venus and Mercury orbit the sun in the geocentrospheric model.
The religious dogma of Galileo’s time was that ALL stellar bodies have to orbit the Earth. This is incorrect, so the religious authorities that Galileo was up against were sadly uninformed and Galileo proved it. However, the moons of Jupiter aren’t proof of heliocentricity, they’re proof that Jupiter has moons.
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The Naked Prophet 