椭球面三角形外接大地圆圆心测地坐标的另一种解法

Another approach for determination of center for geodetic circle passing through three top points of a triangle on ellipsoidal surface

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。

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.