The oblique Mercator map projection is an adaptation of the standard Mercator projection. The oblique version is sometimes used in national mapping systems. When paired with a suitable geodetic datum, the oblique Mercator delivers high accuracy in zones less than a few degrees in arbitrary directional extent.
The oblique Mercator projection is the oblique aspect of the standard (or Normal) Mercator projection. They share the same underlying mathematical construction and consequently the oblique Mercator inherits many traits from the normal Mercator:
Since the standard great circle of the oblique Mercator can be chosen at will, it may be used to construct highly accurate maps (of narrow width) anywhere on the globe.
In constructing a map on any projection, a sphere is normally chosen to model the Earth when the extent of the mapped region exceeds a few hundred kilometers in length in both dimensions. For maps of smaller regions, an ellipsoidal model must be chosen if greater accuracy is required; see next section.
The Hotine oblique Mercator (also known as the rectified skew orthomorphic or 'RSO' projection) projection has approximately constant scale along the geodesic of conceptual tangency.[1] Hotine's work was extended by Engels and Grafarend in 1995 to make the geodesic of conceptual tangency have true scale.[2] The Hotine is the standard map projection used in Brunei, Malaysia, and Singapore.[3][4] It was developed by Martin Hotine in the 1940s.[5]
The Space-oblique Mercator projection is a generalization of the oblique Mercator projection to incorporate time evolution of a satellite ground track.
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