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New form of geodetic coordinate system taking two length quantity as coordinate parameters

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Abstract

A new form of geodetic coordinate system based on geodesic coordinates instead of geodetic longitude and latitude was proposed. The vertical and horizontal geodesic coordinates measured with length were defined as coordinate parameters, but the two families of coordinate curves were still meridians and parallel circles. The first fundamental form on the ellipsoidal surface and its three coefficients were deduced by the geodesic coordinate. The formula for the latitudinal scale factor of length for geodetic parallel lines was derived, by which the obtained result conformed to that standard value calculated from geodetic latitude, and it is applicable in the range of 400 km from north to south. Therefore, it lays the foundation for establishing the differential equation and differential relationship based on this type of coordinate parameters; and consequently, it is convenient and accurate enough to operate on the ellipsoidal surface in this new form of geodetic coordinate system.

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Authors and Affiliations

  1. Department of Surveying and Geoinformatics, Tongji University, Shanghai, 200092, China

    Yimin Shi & Yeming Fan

  2. Key Laboratory of Modern Engineering Surveying, State Bureau of Surveying and Mapping, Shanghai, 200092, China

    Yimin Shi

  3. Resource Department of Guangdong Province, Guangzhou, 510500, China

    Ziyang Zhu

Authors
  1. Yimin Shi
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  2. Ziyang Zhu
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  3. Yeming Fan
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Correspondence to Yimin Shi.

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Translated from Journal of University (Natural Science), 2005, 33(11): 1537–1540 [译自: 同济大学学报(自然科学版)]

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Shi, Y., Zhu, Z. & Fan, Y. New form of geodetic coordinate system taking two length quantity as coordinate parameters. Front. Archit. Civ. Eng. China 3, 105–110 (2009). https://doi.org/10.1007/s11709-009-0014-5

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  • DOI: https://doi.org/10.1007/s11709-009-0014-5

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