兰勃特投影在海外高速铁路项目中的应用  

The Application of Lambert Projection in Overseas High-speed Railway Projects

作　　者：阚余辉 KAN Yuhui(China Railway Design Corporation,Tianjin 300308,China)

机构地区：[1]中国铁路设计集团有限公司,天津300308

出　　处：《铁道勘察》2024年第5期27-31,共5页Railway Investigation and Surveying

摘　　要：针对目前无通用兰勃特投影坐标换带和长度变形计算软件的问题,对兰勃特投影公式进行梳理,编写兰勃特投影坐标计算软件。以摩洛哥某高铁项目为例,将软件坐标转换成果分别与EPSG坐标转换成果和某高斯坐标换带软件转换成果进行对比,并分析长度变形规律。研究表明,该软件可实现兰勃特投影坐标换带计算,计算精度为小数点后4位,满足兰勃特投影换带计算需求。长度变形计算结果表明,地面无起伏时,在纬度差值0.7°以内的区域内,兰勃特切投影和割投影均能将长度变形控制在±10 mm/km以内,即两种投影的长度变形控制能力相同。在工程应用中建议优先选择变形规律简单的兰勃特切投影建立工程独立坐标系。In response to the current lack of universal Lambert projection coordinate transformation and length deformation calculation software,this article summarized the Lambert projection formula and developed a Lambert projection coordinate calculation software.Taking a high-speed railway project in Morocco as an example,this paper compared the coordinate transformation results of the software with those of EPSG and a certain Gaussian coordinate transformation software.At the same time,the length deformation of the Lambert projection for this project was calculated,and the law of length deformation was analyzed.The calculation results indicate that,the software can achieve the calculation of Lambert projection coordinates with different parameters.The calculation accuracy of the software in this paper can be accurate to four decimal places,meeting the needs of Lambert projection zone change calculation.The calculation results of length deformation show that,when there is no undulation on the ground,both the Lambert tangent projection and the Lambert secant projection can control the length deformation within±10 mm/km in the area with a latitude difference of 0.7°,which means that in the absence of undulations on the ground,the length deformation control ability of the two projections is the same.The establishment of an engineering independent coordinate system using the Lambert tangent projection with simple deformation patterns is suggested for priority use.

关 键 词：高速铁路 兰勃特投影 投影换带 长度变形 

分 类 号：U238[交通运输工程—道路与铁道工程] P258[天文地球—测绘科学与技术]