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How do I make a geographic transformation from no datum (perfect sphere) to NAD83?

Question asked by mctraverso on Jan 23, 2018

Hi I have point data that is in LCC (lambert conic conformal) coordinates in ArcMap but these are slightly off from where they should be. This is because the datum is as if these points like on a perfect sphere so they are distorted. Is it possible to create a custom datum of a perfect sphere so that I can transform it to NAD83? There is likely a 300m-500m shift East/West from where the points need to be.