大地主题的数值解法  

The Numerical Method for Geodetic Problem

作　　者：范业明[1] 王解先[1] 刘慧芹[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：《工程勘察》2007年第1期61-63,共3页Geotechnical Investigation & Surveying

摘　　要：本文基于椭球面上大地线的微分方程,将法截弧方位角与大地线方位角之间的关系作为初始条件,通过用数值方法求解大地线的微分方程,进行大地主题的正反解。并以实际数据验证了其正确性与可行性。本法均采用封闭公式计算,精度高,公式简单,特别适用于计算机解算。Based on differential equation of geodesic on the surface of ellipsoid, the problem of direct and inverse solution of geodetic is solved through numerical method. The relationship of normal arc and geodesic is deduced and introduced as the initial condition for the differential equation. Numerical experiments are given, and the validity and feasibility of the method proposed in this paper have been proved. Besides, all the formulas are close, simple and easy to be realized by computer.

关 键 词：大地线 微分方程 数值解法 

分 类 号：P226.1[天文地球—大地测量学与测量工程]