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Transformation of geocentric to geodetic coordinates without approximations - MaRDI portal

Transformation of geocentric to geodetic coordinates without approximations (Q1096439)

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scientific article; zbMATH DE number 4031075
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Transformation of geocentric to geodetic coordinates without approximations
scientific article; zbMATH DE number 4031075

    Statements

    Transformation of geocentric to geodetic coordinates without approximations (English)
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    1987
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    An exact and relatively simple analytical transform of the rectangular coordinates to the geodetic coordinates is presented. It does not involve any approximation and the accuracy of practical calculations depends exclusively on the round-off errors. The algorithm is based on one solution to the quartic equation in tg(45\(\circ -\psi /2)\), where \(\psi\) is the parametric (or eccentric) latitude.
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    analytical transform
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    geodetic coordinates
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    round-off errors
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