| 引潮位展开的不同规格化形式及其转换 |
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| 引用本文： | 雷伟伟,张捍卫,孙茜.引潮位展开的不同规格化形式及其转换[J].大地测量与地球动力学,2016,36(12):1105-1108. |
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| 作者姓名： | 雷伟伟 张捍卫 孙茜 |
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| 摘 要： | 在引潮位展开过程中，为使大地系数的数值在不同阶次中保持相对稳定，对其进行规格化处理。从引潮位的基本理论公式出发，在分析缔合勒让德函数及其完全规格化的基础上，给出了引潮位展开中3类不同规格化(Doodson规格化、Cartwright & Tayler规格化、Hartmann & Wenzel规格化)公式的具体形式，得到3者之间的转换关系与转换系数。同时给出Doodson规格化中2~6阶规格化因子的具体数值，指出并改正Doodson、Roosbeek文献和IERS 2003、2010规范中的3处错误。
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| 关 键 词： | 完全规格化缔合勒让德函数 大地系数 潮波分量 规格化因子 IERS 规范 |
The Different Normalization Forms of Tidal Generating Potential Development and Their Transformation |
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| LEI Weiwei,ZHANG Hanwei,SUN Qian.The Different Normalization Forms of Tidal Generating Potential Development and Their Transformation[J].Journal of Geodesy and Geodynamics,2016,36(12):1105-1108. |
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| Authors: | LEI Weiwei ZHANG Hanwei SUN Qian |
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| Abstract: | In the Tidal Generating Potential (TGP) development process, the geodetic coefficient is normalized in order to maintain the relative stability of its value among different degrees and orders. At present, there are three main normalization methods: Doodson normalization, Cartwright & Tayle normalization, and Hartmann & Wenzel normalization. The specific formulas of these normalization methods in TGP development are derived from the basic theoretical formula of TGP, along with analysis of the associated Legendre’s functions and their full normalization forms. On this basis, the transformation relationships and coefficients among the three methods are obtained. At the same time, the specific values of the 2~6 degree and order normalization factors in Doodson normalization are given, while three errors in the treatise of Doodson and Roosbeek and in the IERS 2003,2010 Conventions are pointed out and corrected. |
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| Keywords: | fully normalized associated Legendre functions geodetic coefficient tidal wave component normalization factor IERS conventions |
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