Abstract
While the standardMercator projection / transverse Mercator projecton maps the equator / the transverse metaequator equivalent to the meridian of referenceequidistantly, theoblique Mercator projection aims at aconformal mapping of the ellipsoid of revolution constraint to anequidistant mapping of an oblique metaequator. Obliqueness is determined by the extension of the area to be mapped, e.g. determined by the inclination of satellite orbits: Satellite cameras map the area just under the orbit geometry. Here we derive themapping equations of theoblique Mercator projection being characterized to beconformal andequidistant on the oblique metaequator extending results ofM. Hotine (1946, 1947).
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Literature
Bretterbauer, K. (1980): Über Zentralschnitte des Rotationsellipsoides, Festschrift Karl Hubeny, Mitt. geod. Institute Techn. Universität Graz, Folge 35, pp. 59–67, Graz 1980
Cole, J. H. (1943): The use of the conformal sphere for the construction of map projections, Survey of Egypt, paper 46, Giza (Orman) 1943
Grafarend, E.: The optimal universal transverse Mercator projection, manuscripta geodaetica, in print
Grafarend, E. and R. Syffus: The oblique azimuthal projection of geodesic type for the biaxial ellipsoid: Riemann polar and normal coordinates, manuscripta geodaetica, in print
Hotine, M. (1946,1947): The orthomorphic projection of the spheroid, Empire Survey Review8 (1946), pp. 300–311,9 (1947), pp. 25–35, 52–70, 112–123, 157–166
Laborde (1928): La nouvelle projection du service geographique de Madagascar, Cahiers du Service geographique de Madagascar, Tananarive1 (1928)
Rosenmund, M. (1903): Die Änderung des Projektions-systems der schweizerischen Landesvermessung, Bern 1903
Snyder, J. P. (1982): Map projections used by the U.S. Geological Survey, Bulletin 1532, 2nd edition, United States Government Printing Office, Washington 1982
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Engels, J., Grafarend, E. The oblique Mercator projection of the ellipsoid of revolution IE 2a ,b . Journal of Geodesy 70, 38–50 (1995). https://doi.org/10.1007/BF00863417
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DOI: https://doi.org/10.1007/BF00863417