The orthographic projection is a projection from infinity that preserves neither area nor angle. It is given by
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(1)
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(2)
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where
is the latitude,
is the longitude, and
and
are reference longitudes and latitudes, respectively.
The inverse transformations are
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(3)
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(4)
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where
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(5)
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(6)
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and the two-argument form of the inverse tangent function is best used for this computation.