斜轴变形椭球高斯投影方法

An Alteration of Gauss Projection Based on Oblique Deformed Ellipsoid

针对东西跨度较大的线路,借助最小二乘法建立斜轴参考椭球,以减小高斯投影横坐标;通过坐标系转换理论,推导出测区在各坐标系下的空间直角坐标,进而确定测区相对于斜轴参考椭球上的大地坐标;利用椭球变换法建立斜轴变形椭球以减小因高程引起的投影变形。以某铁路线为例,可知"斜轴变形椭球高斯投影方法"可大大减小投影后横轴方向分量,避免高斯投影分带现象,同时有效减小高程及其引起的投影变形。该方法数学模型严谨、运算过程清晰,便于编制相关软件,可投入工程使用。

For east-west spanning line,to reduce abscissa value of Gauss projection,the oblique reference ellipsoid was constructed by means of least square method.Via theory of coordinate system transformation,spatial rectangular coordinates of target region in each coordinate system were carried out,and then geodetic coordinates of target region on oblique reference ellipsoid were relatively given.Through ellipsoid transformation,oblique deformed ellipsoid was established to lessen distortion of projection caused by height.Taking one railway for example,it were shown that'An alteration of Gauss projection based on oblique deformed ellipsoid'could greatly deplete abscissa components,avoid zoning of Gauss projection and reduce height effectively,as well as the relevant distortion it caused.Strict mathematical model and clear operation process of the Gauss projection are convenient for programming of relative software,which can be applied in engineering.