高速铁路测量中高斯平面坐标与斜轴墨卡托平面坐标的转换

在高速铁路测量中,要求在建立平面坐标系时应满足投影的长度变形不超过10 mm/km。对于大致呈东西走向的线路来说,建立高斯平面坐标系时,为了控制长度投影变形,就要分多个投影带进行投影,这样就产生了多个高斯平面坐标系。墨卡托投影,既可以满足长度变形值要求,又可以有效解决因分带过多而带来的坐标系不统一问题。研究了高斯平面坐标向斜轴墨卡托平面坐标的转换模型,并且结合某条高速铁路测量数据进行了计算、分析和实际应用,表明本文研究的方法是正确的。

Plane Coordinate Transformation between Gauss Projection and Oblique Mercator Projection for High-Speed Railway Surveying

In high-speed railway surveying,the projection length deformation should be less than 10mm/km during establishing the plane coordinate system.For the route which the direction is roughly towards east and west,the plane coordinate system by Gauss projection needs to be separated into multiple zones in order to control the projection length deformation,and this always produces multiple Gauss plane coordinate systems.However,oblique Mercator projection is able to meet the requirements of length deformation,as well as to solve the disunity problem in coordinate systems among these separated zones.This paper studies the transformation model from Gauss projection to oblique Mercator projection.Combined with the actual data measured from a high-speed railway,the results of calculation,analysis and practical application show that the method of this study is correct.