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不同法截面子午线椭球衔接的研究及应用
引用本文:李复才,姚德新.不同法截面子午线椭球衔接的研究及应用[J].全球定位系统,2020,45(1):88-92.
作者姓名:李复才  姚德新
作者单位:兰州交通大学测绘与地理信息学院,甘肃兰州730070;地理国情监测技术应用国家地方联合工程研究中心,甘肃兰州730070;甘肃省地理国情监测工程实验室,甘肃兰州730070;兰州交通大学测绘与地理信息学院,甘肃兰州730070;地理国情监测技术应用国家地方联合工程研究中心,甘肃兰州730070;甘肃省地理国情监测工程实验室,甘肃兰州730070
基金项目:兰州交通大学优秀平台支持(201806)。
摘    要:为了满足高速铁路线路控制网的投影长度变形值不大于10 mm/km的要求,将长线工程线路分成多段并建立各自的法截面子午线椭球.针对相邻法截面子午线椭球的衔接问题,提出交点法线重合的方法,实现椭球变换之后交点位置的一致性,解决线路的衔接问题,从而大大加强法截面子午线椭球理论在工程线路弯曲性、复杂性及长度的适用性. 

关 键 词:法截面子午线椭球  衔接  高斯投影  长度变形  最小二乘法

Research and application of the connection based on ellipsoid with different normal section as the central meridian
LI Fucai,YAO Dexin.Research and application of the connection based on ellipsoid with different normal section as the central meridian[J].Gnss World of China,2020,45(1):88-92.
Authors:LI Fucai  YAO Dexin
Affiliation:1.Faculty of Geomatics, Lanzhou Jiaotong University,Lanzhou 730070, China2.National-Local Joint Engineering Research Center of Technologies and Applications for National Geographic State Monitoring, Lanzhou 730070, China3.Gansu Provincial Engineering Laboratory for National Geographic State Monitoring, Lanzhou 730070,China
Abstract:In order to meet the requirement that the projection length deformation value of the high-speed railway line control network is not more than 10 mm/km,it is necessary to divide the line into multiple sections and establish their respective normal section meridian ellipses.For the adjacent connection problem of the ellipsoid,the method of the intersection point with same normal is proposed,the consistency of the intersection points after the ellipsoid transformation is realized,and the seamless connection problem of the lines is solved,thereby greatly enhancing the applicability of the normal section meridian ellipsoid theory in the bending property,complexity and length of the engineering line.
Keywords:ellipsoid with normal section as the central meridian  articulation  Gaussian projection  length deformation  least square method
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