The best illustration of how we can switch back and forth between different frames of reference, such as heliocentric and Geocentrospheric, is an interactive guide to the flight path of the Voyagers.
Switching Between Helio and Geo Centered Models
Another Heliocentric #EpicFail
How would you rationalize this remarkable event, during which the sun went backwards for 40 minutes, in a heliocentric system? It's anyone's guess, but there are several steps required.
The Sun Went Backwards
The sun going backwards is such a significant event that it's recorded twice in scripture in 2 Kings 20 and Isaiah 38:8. It's also referred to in 2 Chronicles 32:31 as "the wonder that was done in the land".
Heliocentric #EpicFail
How do you rationalize an event where it looked like the sun and moon stopped moving? You could say that the Earth stopped rotating, but the sun and moon maintained their relative position with each other.
The Sun and Moon Stood Still
Habakkuk refers to this event in which, in Velikovsky's rationalization, the hail stones are left over from an earlier time during the plagues of the Exodus when Venus was a comet and Earth passed through its tail.
The Narrative of Heliocentricity
If it's good enough for Star Trek, it's good enough for popular science (SciPop). Besides, if you've seen it in a Star Trek episode you already believe it's true. Slam dunk.
Relative Motion
There's no observable difference between heliocentric and Geocentrospheric models because they're two frames of reference in the same system. They coexist.
Newton’s Switcheroo
How massive is the sun based if it's orbiting the Earth (of known mass) at a known distance and orbital period? It's equally valid to calculate the mass of the sun in a Geocentrospheric paradigm.