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

单词

Authalic Latitude

释义

Authalic Latitude

An Auxiliary Latitude which gives a Sphere equal Surface Area relative to an Ellipsoid. Theauthalic latitude is defined by

(1)

where

(2)

and

evaluated at the north pole (

). Let

be the Radius of the Sphere havingthe same Surface Area as the Ellipsoid, then

(3)

The series for



			(4)

The inverse Formula is found from

(5)

where

(6)

and

. This can be written in series form as



			(7)

See also Latitude

References

Adams, O. S. ``Latitude Developments Connected with Geodesy and Cartography with Tables, Including a Table for Lambert Equal-Area Meridional Projections.'' Spec. Pub. No. 67. U. S. Coast and Geodetic Survey, 1921.

Snyder, J. P. Map Projections--A Working Manual. U. S. Geological Survey Professional Paper 1395. Washington, DC: U. S. Government Printing Office, p. 16, 1987.

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