在常用坐标系下GNSS点位误差转换方法研究

摘要

Because the transfer function between the geodetic coordinate system and the Cartesian coordinate system is a multi-implicit function, whose explicit expression is more complex and the unit of the parameters is not uniform in the GNSS positional error conversion. This paper uniformly converts the angle error to length error in geodetic coordinate system by radius of parallel circle and curvature radius of meridian, and the transformation matrix has been derived. The rcsults show that the matrix is not only simple in form but also an orthogonal matrix.%鉴于大地坐标系和直角坐标系之间的转换函数为多元隐函数,GNSS点位误差在这两种常用坐标系下相互转换时,其显性表达式较为复杂且参数单位不统一,借助平行圈半径和子午圈曲率半径将大地坐标系下经纬度鹄角度误差统一转换为以长度为单位的误差,并推导了相应的转换矩阵,结果表明该矩阵不仅形式简单,且为正交矩阵.