常用坐标系间GNSS基线向量误差转换方法研究

ON CONVERSION OF GNSS BASELINE VECTOR ERROR BETWEEN COMMON COORDINATE SYSTEMS

在GNSS控制网平差中,需将GNSS基线向量误差在不同坐标系间转换。以足够的精度推导了GNSS基线向量误差从空间直角坐标系到大地坐标系、再到高斯平面直角坐标系的严密转换公式。鉴于严密转换过程分两步进行且转换矩阵复杂,从转换过程中的全微分公式入手,将大地坐标系中的误差单位统一用长度表示,推导了基线向量误差从空间直角坐标系到大地坐标系的转换公式。在此基础上,也研究了GNSS基线向量误差从空间直角坐标系到站心直角坐标系的转换。理论和算例证明,严密公式是正确的,而后两种简化公式亦可代替严密公式,且形式更为简单。

In GNSS control network adjustment,it is neccesary to convert GNSS baseline vector error between different coordinate system. A formula was derived to convert GNSS baseline vector error from space rectangular co- ordinate system to geodetic coordinates ,and from geodetic coordinate system to the Gauss plane rectangular coordi- nate system. Due to unit of the parameters of GNSS baseline vector error in the space rectangular coordinate system is different fron the geodetic coordinate system,the angle errors in geodetic coordinate system is converted to length error with curvature radius of meridian and radius of parallel circle. On this basis,the conversion of GNSS baseline vector error from the space rectangular coordinate system to station rectangular coordinate system was carried. The test result shows that the formula is correct, and easy to form.