斜轴墨卡托圆柱投影及其在高速铁路控制网中的应用

Oblique Mercator Projection and Its Application to Control Network for High Speed Railway

  • 摘要: 为了有效控制高速铁路全球定位系统(GPS)控制网投影变形,利用椭球变换、椭球面向球面投影以及球面圆柱投影基本理论,探讨了斜轴墨卡托投影的处理方法。通过算例分析表明,斜轴墨卡托投影与高斯投影相比,可有效控制长度变形,避免高斯投影分带过多的问题,因此该投影在高铁以及其它线路工程控制网中具有一定的优越性。

     

    Abstract: Foundation and rail construction must meet higher accuracy for high-speed railway, in order to effectively control projection distance deformation of a GPS control network and reduce the number of projection zone for the east-west highspeed railways, this paper discusses the processing method for the oblique Mercator projection to be applied to develop uniform plane coordinate system by the basic theoriessuch as ellipsoid transformation, projection from ellipsoid to sphere and spherical cylindrical projection. Through a practical engineering example analysis, we show that the oblique Mercator projection can control the length deformation and meet the 10ppm length deformation per kilometer for control network of nonballasted-track and 25ppm for ballast track, and avoid the divisions of too many projection zones. Comparing withnormal Gaussian projection the oblique Mercator projectionhas more superiorities on the east-west high-speed railway andother route engineering control networks.

     

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