%0 Journal Article
%T NEW METHOD FOR INVERSE SOLUTION OF MERIDIAN BASED ON ELLIPTIC INTEGRAL OF SECOND KIND<br>基于第二类椭圆积分的子午线弧长反解新方法
%A Guo Jiachun
%A <br>过家春
%J 大地测量与地球动力学
%D 2012
%I 
%X According to the theory of the elliptic integral of the second kind and Lagrange inversion theorem,we present a new method to solve the inverse problem of Meridian arc length,which is expressed by Taylor Series generated from the cosine function of reduced latitude.It gives a analytical solution for this problem.Numerical calculations are used to illustrate the accuracy of the method and the results show that it is applicable and useful in practice.
%K inverse solution of meridian
%K elliptic integrals of the second kind
%K Lagrange inversion theorem
%K Taylor series
%K hypergeometric function<br>子午线弧长反解
%K 第二类椭圆积分
%K 拉格朗日反演
%K 泰勒级数
%K 超几何函数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=DA72A78627FE64EAA572951EA05D274A&jid=73A1A428591E600EF664B596512A2997&aid=B39D47F72CB13A766AF5FB4481C80309&yid=99E9153A83D4CB11&vid=9971A5E270697F23&iid=38B194292C032A66&sid=8477411EEDB08A86&eid=2B5DE8A23DCEED39&journal_id=1671-5942&journal_name=大地测量与地球动力学&referenced_num=0&reference_num=13