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Transformation of geocentric to geodetic coordinates without approximations

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Abstract

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°-ψ/2), where ψ is the parametric (or eccentric) latitude.

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Authors and Affiliations

  1. Toruń Radio Astronomy Observatory, Nicolaus Copernicus University, Toruń, Poland

    Kazimierz M. Borkowski

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  1. Kazimierz M. Borkowski
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Borkowski, K.M. Transformation of geocentric to geodetic coordinates without approximations. Astrophys Space Sci 139, 1–4 (1987). https://doi.org/10.1007/BF00643807

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  • DOI: https://doi.org/10.1007/BF00643807

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