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Derivation of transformation formulas between geocentric and geodetic coordinates for nonzero altitudesFour formulas, for the nonzero altitude transformation from geodetic coordinates (geodetic latitude and altitude) to geocentric coordinates (geocentric latitude and geocentric distance) and vice versa, are derived. The set of four formulas is expressed in each of the three useful forms: series expansion in powers of the earth's flattening; series expansion in powers of the earth's eccentricity; and Fourier series expansion in terms of the geodetic latitude or the geocentric latitude. The error incurred in these series expansions is of the order of one part in 3 x 10 to the 7th power.
Document ID
19740021140
Acquisition Source
Legacy CDMS
Document Type
Other - NASA Technical Note (TN)
Authors
Long, S. A. T. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 3, 2013
Publication Date
July 1, 1974
Subject Category
Space Sciences
Report/Patent Number
L-9245
NASA-TN-D-7522
Accession Number
74N29253
Funding Number(s)
PROJECT: RTOP 879-11-36-00
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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