You are trying to project points on a sphere onto a plane - this is what cartographic projections do . So yes, there are many resources for this. If you canβt find any comments, Iβll dig them out for you.
For the celestial sphere, you look towards the "surface" of the sphere from the inside, and not when you look at the map, from a conditional point above the surface of the Earth, looking down. But the math is the same. And for the celestial sphere, if you just take beautiful pictures, you can stick to spherical mathematical, and not all ugly things that have to deal with a flattened spheroid with impacts like Earth.
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