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椭球面三角形外接大地圆圆心测地坐标的另一种解法
引用本文:李雪凝,施一民. 椭球面三角形外接大地圆圆心测地坐标的另一种解法[J]. 测绘工程, 2005, 14(2): 13-14,28
作者姓名:李雪凝  施一民
作者单位:同济大学,测量与国土信息工程系,上海,200092;同济大学,测量与国土信息工程系,上海,200092
摘    要:为了在测地坐标系中确定外接大地圆圆心,采用了解非线性方程组的牛顿迭代法,解法简便,易于理解.数据验证表明,由该数值法求解的结果与由解析公式获得的结果完全一致.由此亦表明,一些繁难的大地测量计算也可改用数值法来进行.

关 键 词:椭球面三角形  测地坐标  大地圆  牛顿迭代法
文章编号:1006-7949(2005)02-0013-02

Another approach for determination of center for geodetic circle passing through three top points of a triangle on ellipsoidal surface
LI Xue-ning,SHI Yi-min. Another approach for determination of center for geodetic circle passing through three top points of a triangle on ellipsoidal surface[J]. Engineering of Surveying and Mapping, 2005, 14(2): 13-14,28
Authors:LI Xue-ning  SHI Yi-min
Abstract:Newton iterative algorithm for non-linear equation is employed in order to determine the center of geodetic circle which passes through three top points of a triangle on the ellipsoidal surface. This method is a relatively simple and efficient approach. Examples are presented to illustrated the accuracy of this method.
Keywords:triangle on the ellipsoidal surface  geodesic coordinate  geodetic circle  Newton iteration method
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