No. Your system says that a complete cycle should take 24 hours. Is this really that hard to understand?
Parallax measurements are only made on the first day of summer and the first day of winter (Unless I'm wrong about the exact date?!). That's when it is taken in the Geocentric system, and it works exactly the same when it is taken at this time.
The sun travels in a helix around the earth in one day. That is correct.
Point out errors in logic.
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