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.
出处
《工程勘察》
CSCD
北大核心
2007年第1期61-63,共3页
Geotechnical Investigation & Surveying
关键词
大地线
微分方程
数值解法
geodesic
differential equation
numerical method
