I don't know why we aren't able to directly observe the earth's movement around the sun. Haven't space telescopes captured it? Why are we spending billions of dollars on space technology if we can't even capture something so simple?
This is an image of the Tychonic system:
All I want is proof that it's wrong.
As I already stated above, a camera wouldn't give you a unique answer: if you stationed the camera in the vicinity of the Sun, you'd see the planets orbiting it in nice ellipses. On the other hand, if you placed the camera above the Earth, you'd see the Sun and planets doing the complicated dance that Washington posted links to above. If you were to measure stellar parallax, you'd find all the stars doing that same kind of dance too. Is that what you're looking for?
The reason that geocentrism doesn't work is because it requires the existence of a bunch of forces to make everything move that way, for which there is no mechanism. On the other hand, heliocentrism requires exactly one force, namely gravity, and requires it to work in porecisely the way that we know it to actually work.
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