| 斜轴变形椭球高斯投影方法 |
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| 引用本文： | 边少锋,刘强,李忠美,李厚朴.斜轴变形椭球高斯投影方法[J].测绘学报,2015,44(10):1071-1077. |
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| 作者姓名： | 边少锋 刘强 李忠美 李厚朴 |
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| 作者单位： | 1. 海军工程大学导航工程系, 湖北 武汉 430033;2. 海军驻天津地区航保军事代表室, 天津 300042 |
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| 摘 要： | 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。
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| 关 键 词： | 高斯投影 斜轴变形椭球 最小二乘法 坐标系转换 椭球变形法 |
| 收稿时间： | 2014-06-11 |
| 修稿时间： | 2015-05-29 |
An Alteration of Gauss Projection Based on Oblique Deformed Ellipsoid |
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| BIAN Shaofeng,LIU Qiang,LI Zhongmei,LI Houpu.An Alteration of Gauss Projection Based on Oblique Deformed Ellipsoid[J].Acta Geodaetica et Cartographica Sinica,2015,44(10):1071-1077. |
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| Authors: | BIAN Shaofeng LIU Qiang LI Zhongmei LI Houpu |
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| Institution: | 1. Department of Navigation, Naval University of Engineering, Wuhan 430033, China;2. Military Delegate Office of Naval Navigation Guarantee, Tianjin 300042, China |
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| Abstract: | 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 rel atively 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 . |
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| Keywords: | Gauss projection oblique deformed ellipsoid least square method coordinate system trans-formation ellipsoid deformation method |
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