NEW METHOD FOR INVERSE SOLUTION OF MERIDIAN BASED ON ELLIPTIC INTEGRAL OF SECOND KIND
基于第二类椭圆积分的子午线弧长反解新方法

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.