贝塞尔大地问题反解的改进算法

IMPROVED ALGORITHM BASED ON BESSEL’S FORMULAR FOR INVERSE SOLUTION OF GEODETIC PROBLEM

针对目前的贝塞尔大地反解算法中存在的问题 ,设计了一种高效率的反解算法。改进后的算法解决了原算法存在奇异问题 ,不需做繁琐的象限判定 ,计算方便易于编程实现。文中同时指出了贝塞尔投影不是同胚映射 。

In this paper,we point out some of the limitations of the traditional Bessel’s formular based algorithm of inverse solution of geodetic problem and present an improved algorithm to combat such deficiencies.Compared with the traditional algorithm,the improved algorithm has the advantages of no oddity,easy computing and programming.We also point that Bessel’s mapping is not an isomorphic mapping.So it is impossible to fit to arbitrary distance of inverse solution geodetic problem.