利用球冠谐分析拟合GPS水准高程  

Application of Spherical Cap Harmonic Analysis to Fit GPS Level Height

作　　者：曹月玲[1] 王解先[1,2] 

机构地区：[1]同济大学测量与国土信息工程系,上海市200331 [2]现代工程测量国家测绘局重点实验室,上海市200092

出　　处：《武汉大学学报（信息科学版）》2008年第7期740-743,共4页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金资助项目(40674003);上海市科学技术委员会资助项目(06DZ22101)

摘　　要：研究了球冠谐分析的理论基础,推导出用球冠谐分析拟合高程异常的模型,从而实现了GPS大地高和正常高之间的转换。介绍了球冠谐模型的改进模型(adjusted spherical harmonic analysis,ASHA),解决了球冠谐分析中求解非整阶Legendre函数阶数的困难。拟合结果显示,模型的内外符合精度能控制在cm级。The detailed research on theoretical foundation of SCHA is given; and the model of applying SCHA to fit GPS level height is put forward, which is to achieve the transformation between GPS geodetic height and level height. A new model to adjust the SCHA model-- ASHA model is discussed. It solves the problem in SCHA model, good method to compute the real rank of Legendre function quickly which is there is not a now. The test results show that both the inside and outside precisions can be controlled in centimeter rank.

关 键 词：GPS水准 球冠谐分析 改进的球谐分析(ASHA) 

分 类 号：P228.41[天文地球—大地测量学与测量工程] P223[天文地球—测绘科学与技术]