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Geocentric Latitude

Geocentric latitude is an auxiliary latitude and authalic latitude given by

phi_g=tan^(-1)[(1-e^2)tanphi].
(1)

The series expansion is

phi_g=phi-e_2sin(2phi)+1/2e_2^2sin(4phi)+1/3e_2^3sin(6phi)+...,
(2)

where

e_2=(e^2)/(2-e^2).
(3)

See also

Authalic Latitude, Auxiliary Latitude, Latitude

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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.Karney, C. F. F. "On Auxiliary latitudes." 21 May 2023. https://arxiv.org/abs/2212.05818.Snyder, J. P. Map Projections--A Working Manual. U. S. Geological Survey Professional Paper 1395. Washington, DC: U. S. Government Printing Office, pp. 17-18, 1987.

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Geocentric Latitude

Cite this as:

Weisstein, Eric W. "Geocentric Latitude." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GeocentricLatitude.html

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