唐上达. 解算大地测量主题正算问题的两种数值方法[J]. 武汉大学学报 ( 信息科学版), 1987, 12(3): 79-85.
引用本文: 唐上达. 解算大地测量主题正算问题的两种数值方法[J]. 武汉大学学报 ( 信息科学版), 1987, 12(3): 79-85.
Tang Shangda. Two Numerical Approaches to the Direct Geodetie Problem[J]. Geomatics and Information Science of Wuhan University, 1987, 12(3): 79-85.
Citation: Tang Shangda. Two Numerical Approaches to the Direct Geodetie Problem[J]. Geomatics and Information Science of Wuhan University, 1987, 12(3): 79-85.

解算大地测量主题正算问题的两种数值方法

Two Numerical Approaches to the Direct Geodetie Problem

  • 摘要: 大地测量主题正算问题是一个古老的课题。采用贝塞尔方法时,解算中对椭圆积分方程的求解,一般均采用简单迭代法,且未给出该方程近似解的误差估计公式。针对以上问题,本文提出两种算法,并给出其误差估计公式。又在DJS030计算机上通过实际计算验证了方法及其误差估算公式的正确性。两种算法在长距离大地测量主题解算时,计算效率较简单迭代法均有所提高。

     

    Abstract: The direct geodetic problem is a very old one.Bessel method gets its solution through the ellipsoidal integral equation by simple iterative means with no error estimate expression.To overcome the problem mentioned above,this paper proposes two numerical approaches with ther error estimate expressions,which are proved true by actual computations in a DJS 030 computer.When they are used for the direct geodetic problem of long distance,their computational efficiency is better than that of simple iterative means.

     

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