符号迭代法解算椭球大地测量学反问题  

Symbolic Iterative Method for Solving Inverse Problems in Ellipsoidal Geodesy

作　　者：李忠美[1] 边少锋[1,2] 孔海英[3] 

机构地区：[1]海军工程大学导航工程系,湖北武汉430033 [2]中国科学院测量与地球物理研究所,湖北武汉430077 [3]海军海洋水文气象中心,北京100161

出　　处：《海洋测绘》2013年第2期27-29,33,共4页Hydrographic Surveying and Charting

基　　金：973计划项目(2012CB719902);国家自然科学基金项目(41071295;41201478)

摘　　要：简要介绍了符号迭代法的基本思想;以椭球大地测量学中常见的反问题为例,借助具有强大符号运算功能的计算机代数系统Mathematica,采用该方法对其进行了解算,推导出了这些问题解析解的符号表达式。结果表明,符号迭代法计算过程简单,便于理解,可用于解决大地测量学其他类似问题。The idea of symbolic iterative method is introduced briefly. Taking common inverse problems m ellipsoidal geodesy for example, they are solved using symbolic iterative method by means of computer algebra system Mathematica with powerful function for symbolic operation, and symbolic expressions of their analytic solutions are available. The results show that processes of symbolic iteration method are concise, and this method can be used to solve other similar mathematical problems in geodesy.

关 键 词：大地测量学 符号迭代法 反问题 符号表达式 MATHEMATICA 

分 类 号：P282[天文地球—地图制图学与地理信息工程]