Application of Large Ellipsoid Parameter Model in Long Linear Engineering

FENG Ligang; JIN Lixin; BIAN Shaofeng; LI Houpu

doi:10.13203/j.whugis20180133

Volume 45 Issue 2

Feb. 2020

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Geomatics and Information Science of Wuhan University > 2020 > 45(2): 219-225, 232. > DOI: 10.13203/j.whugis20180133

FENG Ligang, JIN Lixin, BIAN Shaofeng, LI Houpu. Application of Large Ellipsoid Parameter Model in Long Linear Engineering[J]. Geomatics and Information Science of Wuhan University, 2020, 45(2): 219-225, 232. DOI: 10.13203/j.whugis20180133

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Application of Large Ellipsoid Parameter Model in Long Linear Engineering

1.
Shanxi College of Communication Technology, Xi'an 710018, China
2.
China Railway First Survey and Design Institute Group Co. Ltd, Xi'an 710043, China
3.
General Engineering Survey Institute of Railways of Gansu, Lanzhou 730015, China
4.
Department of Navigation, Naval University of Engineering, Wuhan 430033, China

Funds:

The National Natural Science Foundation of China 41574009

The National Natural Science Foundation of China 41871376

the Outstanding Young Science Foundation of Hubei Province 2019CFA086

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Author Bio:
FENG Ligang, master, specializes in the theories and methods of geodesy and earth projection. E-mail:1426235296@qq.cm
Received Date: August 16, 2019
Published Date: February 04, 2020

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Abstract

Abstract

Aiming at the problem that Gauss projection in the line engineering project needs to be frequently strapped and has low precision when designing the plane construction drawing of the project, this paper proposes a large elliptical Gaussian projection of an elliptical line projecting from the ellipsoid elliptical line of the route for the new central meridian, and analyzes the parametric theoretical model of the elliptic ellipsoid. Firstly, it derives the meridian arc length formula by using the naturalized latitude instead of the geodetic latitude as a parameter. Secondly, according to the quadratic curve invariant theory, linear algebra, calculus and other knowledge, it deduces the model of solving the basic geometric parameters of the large ellipse ellipsoid with the plane equation coefficient as the parameter. Furthermore, a direct conversion model of the geodetic coordinates between the base ellipsoid and the large ellipse ellipsoid is deduced. Finally, based on some actual engineering data, the correctness and superiority of the theoretical model deduced in this paper are verified to be popularized in long-term projects.
- reduced latitude,
- geocentric latitude,
- parametric equation,
- large ellipse,
- Gauss-Kruger projection

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References (22)

References

[1]	李全海.斜圆柱投影及其对GPS空间坐标的转换模型[J].同济大学学报, 2002, 30(1): 106-110 doi: 10.3321/j.issn:0253-374X.2002.01.022 Li Quanhai. Model of Oblique Cylindrical Projection for Transforming GPS Space Coordinates to Plane Coordinates[J]. Journal of Tongji University, 2002, 30(1): 106-110 doi: 10.3321/j.issn:0253-374X.2002.01.022
[2]	沙月进, 高洪兴, 胡伍生.斜轴圆柱投影方法及其在交通工程中的应用研究[J].公路交通科技, 2005, 21(11): 20-22 http://d.old.wanfangdata.com.cn/Periodical/gljtkj200411006 Sha Yuejin, Gao Hongxing, Hu Wusheng. Study on Oblique Cylindrical Projection Method and Its Application in Traffic Engineering[J]. Journal of Highway and Transportation Research and Development, 2005, 21(11): 20-22 http://d.old.wanfangdata.com.cn/Periodical/gljtkj200411006
[3]	丁士俊, 何亮云, 李鹏鹏.斜轴墨卡托圆柱投影及其在高速铁路控制网中的应用[J].武汉大学学报·信息科学版, 2016, 41(4):541-546 http://ch.whu.edu.cn/CN/abstract/abstract5428.shtml Ding Shijun, He Liangyun, Li Pengpeng. Oblique Mercator Projection and Its Application to Control Network for High Speed Railway[J]. Geomatics and Information Science of Wuhan University, 2016, 41(4):541-546 http://ch.whu.edu.cn/CN/abstract/abstract5428.shtml
[4]	Grafarend E W, Krumm F W. Map Projections[M]. Berlin, Heidelberg: Springer-Verlag, 2014
[5]	于先文, 王庆, 胡伍生, 等.基于二次函数图形的高斯投影中央子午线重新选取[J].测绘通报, 2007(11):20-22 doi: 10.3969/j.issn.0494-0911.2007.11.007 Yu Xianwen, Wang Qing, Hu Wusheng, et al. Reselection of Central Meridian of Gauss Projection Based on Quadratic Function Figure[J]. Bulletin of Surveying and Mapping, 2007(11) :20-22 doi: 10.3969/j.issn.0494-0911.2007.11.007
[6]	丁士俊, 畅开蛳, 高锁义.独立网椭球变换与坐标转换的研究[J].测绘通报, 2008(8):4-6 http://d.old.wanfangdata.com.cn/Periodical/chtb200808002 Ding Shijun, Chang Kaishi, Gao Suoyi. Research on Independent Ellipsoid Transformation and Coordinates Conversion[J]. Bulletin of Surveying and Mapping, 2008(8):4-6 http://d.old.wanfangdata.com.cn/Periodical/chtb200808002
[7]	赵俊生, 刘雁春, 王克平, 等.关于高斯投影长度变形的探讨[J].海洋测绘, 2007, 27(3): 9-11 doi: 10.3969/j.issn.1671-3044.2007.03.003 Zhao Junsheng, Liu Yanchun, Wang Keping, et al. Discussion on the Distortion of Distance in Gauss Projection[J]. Hydrographic Surveying and Charting, 2007, 27(3): 9-11 doi: 10.3969/j.issn.1671-3044.2007.03.003
[8]	金立新, 付宏平.法截面子午线椭球高斯投影理论[M].西安:西安地图出版社, 2012 Jin Lixin, Fu Hongping. Gaussian Projection Theory Based on Ellipsoid with Normal Section as the Central Meridian[M]. Xi'an: Xi'an Map Publishing House, 2012
[9]	金立新, 付宏平.法截面子午线椭球空间几何理论[M].西安:西安地图出版社, 2013 Jin Lixin, Fu Hongping. Space Geometry Theory of Meridian Ellipsoid in Section[M]. Xi'an: Xi'an Map Publishing House, 2013
[10]	金立新, 付宏平.法截面子午线椭球工程应用研究[M].西安:西安地图出版社, 2017 Jin Lixin, Fu Hongping. Engineering Application Based on Ellipsoid With Normal Section as the Central Meridian[M]. Xi'an: Xi'an Map Publishing House, 2017
[11]	冯黎刚, 姚德新, 金立新.大椭圆线椭球高斯投影在高速铁路工程中的应用[J].测绘通报, 2018(1): 88-91 http://d.old.wanfangdata.com.cn/Periodical/chtb201801016 Feng Ligang, Yao Dexin, Jin Lixin. Application of Large Elliptic Ellipsoid Gauss Projection in High-Speed Railway[J]. Bulletin of Surveying and Mapping, 2018(1): 88-91 http://d.old.wanfangdata.com.cn/Periodical/chtb201801016
[12]	李厚朴, 边少锋.高斯投影与墨卡托投影解析变换的复变函数表达式[J].武汉大学学报·信息科学版, 2009, 34(3): 273-279 http://ch.whu.edu.cn/CN/abstract/abstract1189.shtml Li Houpu, Bian Shaofeng. Expressions for Analytical Transformation Between Gauss and Mercator Projections by Complex Numbers[J]. Geomatics and Information Science of Wuhan University, 2009, 34(3): 273-279 http://ch.whu.edu.cn/CN/abstract/abstract1189.shtml
[13]	边少锋, 刘强, 李忠美, 等.斜轴变形椭球高斯投影方法[J].测绘学报, 2015, 44(10):1 071-1 077 http://d.old.wanfangdata.com.cn/Periodical/chxb201510002 Bian Shaofeng, Liu Qiang, Li Zhongmei, et al. An Alteration of Gauss Projection Based on Oblique Deformed Ellipsoid[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(10): 1 071-1 077 http://d.old.wanfangdata.com.cn/Periodical/chxb201510002
[14]	李厚朴, 边少锋.高斯投影的复变函数表示[J].测绘学报, 2008, 37(1):5-9 doi: 10.3321/j.issn:1001-1595.2008.01.002 Li Houpu, Bian Shaofeng. The Expressions of Gauss Projection by Complex Numbers[J]. Acta Geodaetica et Cartographica Sinica, 2008, 37(1): 5-9 doi: 10.3321/j.issn:1001-1595.2008.01.002
[15]	王磊, 郭际明, 申丽丽, 等.顾及椭球面不平行的椭球膨胀法在高程投影面变换中的应用[J].武汉大学学报·信息科学版, 2013, 38(6):725-733 http://ch.whu.edu.cn/CN/abstract/abstract2676.shtml Wang Lei, Guo Jiming, Shen Lili, et al. Ellipsoid Expansion Method Considering Ellipsoid Parallel Misalignment and Its Application to Projection Plane Transformation[J]. Geomatics and Information Science of Wuhan University, 2013, 38(6):725-733 http://ch.whu.edu.cn/CN/abstract/abstract2676.shtml
[16]	李世安, 刘经南, 施闯.应用GPS建立区域独立坐标中椭球变换的研究[J].武汉大学学报·信息科学版, 2005, 30(10):889-891 http://ch.whu.edu.cn/CN/abstract/abstract2296.shtml Li Shian, Liu Jingnan, Shi Chuang. Study of the Ellipsoid Transformation on the Establishment of Local Independence Coordinate System Using GPS Technique[J]. Geomatics and Information Science of Wuhan University, 2005, 30(10):889-891 http://ch.whu.edu.cn/CN/abstract/abstract2296.shtml
[17]	张辛, 杨爱明, 许其凤, 等.滇中引水工程独立坐标系统建立的关键技术研究[J].武汉大学学报·信息科学版, 2014, 39(9):1 047-1 051 http://ch.whu.edu.cn/CN/abstract/abstract3069.shtml Zhang Xin, Yang Aiming, Xu Qifeng, et al. Key Technology on Establishment of an Independent Coordinate System for Water Diversion Project in Central Yunnan[J]. Geomatics and Information Science of Wuhan University, 2014, 39(9):1 047-1 051 http://ch.whu.edu.cn/CN/abstract/abstract3069.shtml
[18]	于亚杰, 赵英志, 张月华.基于椭球膨胀法实现独立坐标系统的建立[J].测绘通报, 2011(12):33-36 http://d.old.wanfangdata.com.cn/Periodical/chtb201112012 Yu Yajie, Zhao Yingzhi, Zhang Yuehua. The Establishment of Independent Coordinate System Based on the Ellipsoid Expansion Method[J]. Bulletin of Surveying and Mapping, 2011(12):33-36 http://d.old.wanfangdata.com.cn/Periodical/chtb201112012
[19]	过家春, 赵秀侠, 吴艳兰.空间直角坐标与大地坐标转换的拉格朗日反演方法[J].测绘学报, 2014, 43(10):998-1 004 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=chxb201410003 Guo Jiachun, Zhao Xiuxia, Wu Yanlan. Transformation from Cartesian to Geodetic Coordinates Using Lagrange Inversion Theorem[J]. Acta Geodaetica et Cartographica Sinica, 2014, 43(10): 998-1 004 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=chxb201410003
[20]	吕林根, 许子道.解析几何[M]. 4版.北京:高等教育出版社, 2006 Lv Lingen, Xu Zidao. Analytic Geometry[M]. 4th ed. Beijing: Higher Education Press, 2006
[21]	孔祥元, 郭际明, 刘宗泉.大地测量学基础[M].武汉:武汉大学出版社, 2001 Kong Xiangyuan, Guo Jiming, Liu Zongquan. Geodetic Foundation[M]. Wuhan:Wuhan University Press, 2001
[22]	熊介.椭球大地测量学[M].北京:解放军出版社, 1988 Xiong Jie. Ellipsoid Geodesy[M]. Beijing: Publishing Housing of PLA, 1988

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