通过获取某城市独立坐标系与国家通用坐标系两个同名点成果,利用高斯投影正算公式对其进行坐标变换,简化成一个关于该独立坐标系中央子午线的一元高次方程;再利用迭代法解算出中央子午线,进而解算参考椭球长半径、北方向偏移量和东方向偏移量等参数,从而实现该独立坐标系与国家大地坐标系之间的成果转换与应用。

In this paper, we got two corresponding points products between independent coordinate systems of a certain city and the national general coordinate system at first, and used the Gaussian projection forward calculation formula to transform the coordinates of these corresponding points, which could reduce the problem to a univariate high order equation about the Central Meridian of the independent coordinate system. Finally, we used iterative algorithm to calculate the Central Meridian, the semimajor axis of reference ellipsoid, the north offset H and the east offset I. The proposed method implemented the transformation of products between this independent coordinate system and the national geodetic coordinate system.