椭球、七参数与四参数同时解算方法研究与应用

Determine Earth Ellipsoid Together With Seven and Four Transformation Parameters

测量应用中,常常需要将RTK获取的三维空间坐标转换成当地高斯平面坐标和高程。一般的转换方法是采用空间七参数或平面四参数转换模型。因此为了实时获取当地坐标,需要预先求取相应的转换参数,这些参数包括椭球长半轴、椭球扁率和空间七参数或者平面四参数。本文研究实现了一种同时解算这13个参数的数学模型,可根据具体应用需要进行自由求取。并以上海地区为例,解算了8种参数组合,分析比较了不同参数对坐标转换结果的影响。

In surveying applications, the positioning results obtained from GPS RTK are usually presented in local plane coordinate and height respectively. Some pre-setting parameters including the semimajor axis, oblateness of the earth ellipsoid, cartesian seven-parameters of transformation, and four-parameters for plane coordinate transformation are needed. In this paper,a method to solve all these 13 parameters in one model is introduced. Eight groups of parameter combination are solved for Shanghai area and the differences of results were compared