As a King James Bible believer, I have no problem with geocentricity.

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In essence, it appears that satellites and related calculations aren't in themselves sufficient to distinguish between either geocentricity or heliocentricity. Either approach, for example, can be used to justify the 'slingshot effect' - though it is interesting that spacecraft orbits for other planets are calculated using the Earth, not the sun, as the centre of the coordinates. The implication is that the Earth is the centre of the planetary system.