“Mercator Projection”的概念、定义、习题解题方法及翻译-数学辞典

单词

Mercator Projection

释义

Mercator Projection

The following equations place the x-Axis of the projection on the equator and they-Axis at Longitude , where is the Longitude and is theLatitude.

			(1)
			(2)
			(3)
			(4)
			(5)
			(6)

The inverse Formulas are

			(7)
			(8)

where

is the Gudermannian Function. Loxodromes are straight lines and GreatCircles are curved.

An oblique form of the Mercator projection is illustrated above. It has equations

			(9)
			(10)

where


			(11)
			(12)
			(13)

The inverse Formulas are

			(14)
			(15)

There is also a transverse form of the Mercator projection, illustrated above. It is given by the equations

			(16)
			(17)
			(18)
			(19)

where

			(20)
			(21)

Finally, the ``universal transverse Mercator projection'' is a Map Projection which maps the Sphere into 60zones of 6° each, with each zone mapped by a transverse Mercator projection with central Meridian in thecenter of the zone. The zones extend from 80° S to 84° N (Dana).

See also Gudermannian Function, Spherical Spiral

References

Dana, P. H. ``Map Projections.'' http://www.utexas.edu/depts/grg/gcraft/notes/mapproj/mapproj.html.

Snyder, J. P. Map Projections--A Working Manual. U. S. Geological Survey Professional Paper 1395. Washington, DC: U. S. Government Printing Office, pp. 38-75, 1987.

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