摘要
基于第二类椭圆积分及拉格朗日反演理论,推导出子午线弧长反解的新方法。该方法为归化纬度的余弦函数的泰勒级数展开,给出了子午线弧长的分析解。算例表明,其收敛速度快,精度可靠,可以满足实际应用精度要求。
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.
出处
《大地测量与地球动力学》
CSCD
北大核心
2012年第3期116-120,共5页
Journal of Geodesy and Geodynamics
基金
江西省数字国土重点实验室开放研究基金资助项目(DLLJ201211)
国家农业信息化工程技术研究中心开放课题(KF2010W40-046)
关键词
子午线弧长反解
第二类椭圆积分
拉格朗日反演
泰勒级数
超几何函数
inverse solution of meridian
elliptic integrals of the second kind
Lagrange inversion theorem
Taylorseries
hypergeometric function
