Yesterday I wrote up, very explicitly, all of the mathematics involved in going from celestial coordinates on the sphere to tangent-plane projection onto a regular array in an ideal camera. This is all trivial, but I can't find it written explicitly anywhere (the existing papers on astronomical coordinate transformations say a lot of words, but don't give unambiguous equations). Today the plan is to connect that write-up to the standardized parameters of the FITS WCS TAN convention.
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