引潮位展开的不同规格化形式及其转换  

The Different Normalization Forms of Tidal Generating Potential Development and Their Transformation

作　　者：雷伟伟[1] 张捍卫[1] 孙茜[1] 

机构地区：[1]河南理工大学测绘与国土信息工程学院,焦作市世纪大道2001号454000

出　　处：《大地测量与地球动力学》2016年第12期1105-1108,共4页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(41474021);国家测绘地理信息局测绘基础研究基金(15-01-05)~~

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。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 2~6degree 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.

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 

分 类 号：P223[天文地球—大地测量学与测量工程]