Improved algorithm for calculation of UTM and geodetic coordinates

Dozier, Jeff

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Improved algorithm for calculation of UTM and geodetic coordinates

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Personal Author:

Dozier, Jeff
Corporate Authors:

United States. National Environmental Satellite Service.
NOAA Program & Office:

NESDIS (National Environmental Satellite, Data, and Information Service)
Description:

Expression of the equations for a UTM (Gauss-Kriiger) projection in terms of Jacobian elliptic functions, rather than their series expansions, allows the projection to be used over wider zones than the standard 6 deg strips, and thus makes it applicable to satellite data from the NOAA A-G series. An efficient iterative solution method for either UTM or geodetic coordinates is developed using a complex-arithmetic version of Newton’s method. The method can be used for longitudes up to 90 deg from the central meridian.
Keywords:

Elliptic Functions Map Projection Elliptic Functions Map Projection
Series:

NOAA technical report NESS 81
Document Type:

Technical Report
Rights Information:

Public domain
Compliance:

Library
Main Document Checksum:

urn:sha256:9870d26a55d8022117946f3b0656e532082ae9de695ade71f4df8a62176ee1ce
Download URL:

https://repository.library.noaa.gov/view/noaa/30862/noaa_30862_DS1.pdf
File Type:

[PDF - 32.89 MB ]

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