利用Clenshaw求和计算大地水准面差距  

Geoid Undulation Computed Based on Clenshaw Summation

作　　者：王建强[1] 李建成[1] 赵国强[2] 朱广彬[1] 

机构地区：[1]武汉大学测绘学院,武汉市珞喻路129号430079 [2]中国地震局地震预测研究所GPS中心,北京市复兴路63号100036

出　　处：《武汉大学学报（信息科学版）》2010年第3期286-289,共4页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金重点资助项目(40637034)

摘　　要：引入非正规化的球谐函数,使用Clenshaw求和法不需要计算单个球谐函数值而直接计算级数和。将Clenshaw求和算法和标准向前列递推算法在计算时间上进行比较,并对两种方法计算的稳定性进行了数值分析,给出了数值模拟结果。通过数值计算得出了Clenshaw求和计算全球大地水准面差距的适用范围,为实现高精度大地水准面的计算提供借鉴。Based on the introduction of fully non-normalized spherical harmonics, Clenshaw summation does not need a single spherical harmonics calculation. We compared Clenshaw summation method with standard forward column method in the calculation of time and ana- lyzed the stability of these two methods by numerical tests. Then, we give the results of the tests. Finally, the applicability of geoid undulation computed based on Clenshaw summation method was discussed, which offers a reference for high-precision calculation of the geoid.

关 键 词：位模型 Clenshaw求和 大地水准面差距 缔合勒让德函数 递推 

分 类 号：P223.0[天文地球—大地测量学与测量工程]