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Is there a way to calculate maximum distortion error caused by the usage of spherical coordinates as if they were Cartesian?

More specifically max distance error of using straight line edges on equirectangular projection connecting points of a polygon on the surface of the earth vs. actual great circle lines connecting these points.

I have a Morton index that is using lat/lon coordinates and would like to get relevant ranges for doing point in polygon check. So, I would like to buffer the polygon by the maximum error distance when calculating the relevant Morton ranges. False positives (point not in polygon is included) are OK, but not false negatives (point in polygon is not included) are not.

zigzag
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