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Matt, I'm sorry nobody has taken your challenge to respond to your interesting thought problem! I don't know enough about this to feel any confidence in commenting, but I do have a question. Does Jupiter really move at sidereal rate? I assume not really, but does it move differently enough to throw off your calculations, especially if you are tracking for hours to measure a small change. Perhaps there is a way to compensate for the non-sidereal rate if that is a factor.
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