一种子午线正反解算的新方法  

New Method for Direct and Inverse Solution of Meridian

作　　者：施一民[1] 范业明[1] 

机构地区：[1]同济大学测量与国土信息工程系,上海200092

出　　处：《同济大学学报（自然科学版）》2005年第7期964-966,共3页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金资助项目(49971067);地球空间环境与大地测量教育部重点实验室开放基金资助项目(03-04-02)

摘　　要：提出并采用了高斯-勒让德求积法进行子午线的正反解算,推导出子午线正反解算的高斯-勒让德求积公式,从理论上表明六节点求积公式已足够精确,并以实际数据的计算证实其实用上的可行性.该方法不仅能达到大地测量所需的精度,并为大地测量中诸多的类似计算提供了采用数值方法的新思路.Method of Gauss-Legendre integration is proposed and adopted in this paper for direct and inverse solution of meridian and the formula of the method is deduced. Six-point integration formula is proved strictly by mathematics and verified by numeric experiments. Not only the precision of Gauss-Legendre formula is e- nough for geodesy,but also it offers a new idea to solve problems particularly in geodesy.

关 键 词：子午线的正反解算 数值积分 高斯-勒让德求积法 

分 类 号：P226[天文地球—大地测量学与测量工程]