Abstract
The geodetic latitude and the height of a satellite are obtained as power series in the ellipsoid's eccentricity, the terms being Fourier sums in the geocentric latitude with polynomials in 1/r as coefficients, with a view of determining the height to the fullest accuracy required by altimetry and geodesy from satellites.
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Deprit, A. Conversion from geocentric to geodetic coordinates. Celestial Mechanics 12, 489–493 (1975). https://doi.org/10.1007/BF01595392
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DOI: https://doi.org/10.1007/BF01595392