任意精度的子午线弧长递归计算  

RECURSIVE COMPUTATION OF MERIDIAN ARC LENGTH WITH DISCRETIONARY PRECISION

作　　者：刘仁钊[1] 伍吉仓[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：《大地测量与地球动力学》2007年第5期59-62,共4页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(40674004)

摘　　要：根据子午线弧长计算公式,推导出基于递归关系的任意精度的子午线弧长的一种新的计算方法,以及基于C/C++语言的子午线弧长具体方法的实现,最后在VC6.0中进行了验证。结果表明,该方法可满足不同精度要求的弧长计算。A new method for recursive computation of meridian arc length with discretionary precision is deduced on the basis of the arc formula, and its detailed algorithm as well as program in C/C ＋ ＋ are given. This method for arc length computation is proved through Microsoft VC ＋ ＋ 6.0, the result indicates that different precisions requirement in various conditions can be met with.

关 键 词：子午线弧长 公式推导 递归计算 C/C++程序 精度分析 

分 类 号：P226[天文地球—大地测量学与测量工程]