田晋, 暴景阳, 刘雁春. 全球位系数模型构建高精度局部重力场的Clenshaw求和[J]. 武汉大学学报 ( 信息科学版), 2005, 30(10): 905-908.
引用本文: 田晋, 暴景阳, 刘雁春. 全球位系数模型构建高精度局部重力场的Clenshaw求和[J]. 武汉大学学报 ( 信息科学版), 2005, 30(10): 905-908.
TIAN Jin, BAO Jingyang, LIU Yanchun. Clenshaw Summation in Constructing High Resolution Gravity Field from the Geopotential Coefficient Expression Model[J]. Geomatics and Information Science of Wuhan University, 2005, 30(10): 905-908.
Citation: TIAN Jin, BAO Jingyang, LIU Yanchun. Clenshaw Summation in Constructing High Resolution Gravity Field from the Geopotential Coefficient Expression Model[J]. Geomatics and Information Science of Wuhan University, 2005, 30(10): 905-908.

全球位系数模型构建高精度局部重力场的Clenshaw求和

Clenshaw Summation in Constructing High Resolution Gravity Field from the Geopotential Coefficient Expression Model

  • 摘要: 给出了勒让德函数4种模式的Clenshaw求和公式,在此基础上得到由全球位系数模型计算重力场参数的二阶Clenshaw求和公式,分析了EGM96与WDM94应用于某试验测区局部重力场的精度,为该测区在构建高精度局部重力场时初始全球位系数模型的选取提供了借鉴。

     

    Abstract: This paper gives four modes' Clenshaw summation formula of Lengendre function. Based on this, the Clenshaw summation formula with two order are derived respectively to calculate the gravity field parameters from the geopotential coefficient expression model. And the precisions in applying the EGM96 and WDM94 to the gravity field of some experimental survey area are both presented which provides some useful reference in the selection of preliminary geopotential model to construct high resolution gravity field of this local area.

     

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