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Is it possible for a geocentric, epicyclic model to get the 3D positions of the solar system bodies approximately correct, as opposed to just their angular motion with respect to Earth?



I cannot edit my post any more , but I can still reply to it, and it seems the answer is yes:

https://www.youtube.com/watch?v=QVuU2YCwHjw

- but you need eccentricity to get the speeds right: https://www.youtube.com/watch?v=qHmjGUxWRAI (10 minutes in.)

Furthermore, the result is not equivalent to the heliocentric model because it has many more parameters.




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