Bowring算法中两种大地纬度计算公式性能的对比  

Performance Comparison Analysis of Two Geodetic Latitude Computational Formulas in Bowring Algorithm

作　　者：陈石平 陈顺清 郑健超 谈书才 CHEN Shiping

机构地区：[1]广州奥格智能科技有限公司,广东广州510663 [2]湖南交通工程学院,湖南衡阳421219

出　　处：《地理空间信息》2019年第5期64-67,I0003,共5页Geospatial Information

基　　金：广东省现代信息服务业发展基金资助项目(GDEID2011IS021)

摘　　要：分析了Bowring B R于1976年提出的大地纬度计算算法和1985年提出的改进算法的推导过程,得到改进算法通过两次近似处理可能会限制其适用范围的结论,并通过理论推导和大量计算进行了验证。两种算法的适用范围:高程H≤2 km时,采用1976年提出的Bowring算法;H≥20 km时,采用1985年提出的改进算法;2 km<H<20 km时,需要根据高程和纬度选择其中一种算法。两种算法计算纬度误差相等的角度随高度增加而减小。In this paper, we studied the geodetic latitude computational algorithm proposed by Bowring B R in 1976 and the improved algorithm proposed in 1985, and analyzed the derivations of the two algorithms. Then, we found that the improved algorithm might limit its scope of application by two approximation process. Finally, through theoretical proof and a large amount of calculation, we verified that the improved algorithm had certain application scope. When the elevation of H is less than or equal to 2 km, Bowring algorithm proposed in 1976 is feasible. When H is not less than 20 km, the improved algorithm is feasible. Under other circumstance, an algorithm is determined by height and latitude.

关 键 词：Bowring算法 大地纬度 空间直角坐标 

分 类 号：P282.2[天文地球—地图制图学与地理信息工程]