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the math will depend on the projection and what you want to preserve. A generic solution would consist in computing the Lat/Long coordinates of your points, then you simply add the value of your shift to each coordinates, and you finally reproject in your initial projected coordinate system. For pure East-West rotation, there is no distortion. For ...


Because you are "near" the equator, the cylindrical projections (like Mercator) work well (not too many distortions). If you want to be perfectly fair in terms of areas, you could use cylindrical equal area or sinusoidal projection. But this would not markedly differ from Mercator.

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