| 利用垂线偏差计算大地水准面中央区效应的改进方法 |
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| 引用本文： | 李厚朴,边少锋.利用垂线偏差计算大地水准面中央区效应的改进方法[J].测绘学报,2011,40(6):730-735. |
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| 作者姓名： | 李厚朴 边少锋 |
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| 作者单位： | 1. 海军工程大学 导航系702室;2. 海军工程大学导航工程系; |
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| 基金项目： | 国家自然科学基金(40774002;40904018;41071295);海岛(礁)测绘技术国家测绘地理信息局重点实验室开放研究基金(2010B04);海军工程大学自然科学基金(HGDYDJJ009) |
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| 摘 要： | 为提高利用Molodensky公式反演测高大地水准面中央区效应的精度，视中央区为矩形域，将垂线偏差分量表示成双二次多项式插值形式，引入非奇异变换，推导出了大地水准面的计算公式。垂线偏差理论模型下的分析表明本文导出公式误差为零，而传统公式的误差与纬度以及垂线偏差子午分量与卯酉分量之间的比值有关；以中纬度区域分辨率为2'*2'的垂线偏差数据为背景场进行了实际计算，结果表明在反演计算点本身所在的1个网格对大地水准面的贡献时，传统公式与本文导出公式计算结果差值的最大值达数厘米。本文导出公式可为测高大地水准面的高精度反演提供理论依据。
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| 关 键 词： | 卫星测高 Molodensky公式 非奇异变换 大地水准面 中央区效应 |
| 收稿时间： | 2010-03-03 |
| 修稿时间： | 2011-04-21 |
The Improved Method of Calculating the Geoid Innermost Area Effects Using Deflections of the Vertical |
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| LI Houpu,BIAN Shaofeng.The Improved Method of Calculating the Geoid Innermost Area Effects Using Deflections of the Vertical[J].Acta Geodaetica et Cartographica Sinica,2011,40(6):730-735. |
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| Authors: | LI Houpu BIAN Shaofeng |
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| Institution: | 1,3 1.Department of Navigation,Naval University of Engineering,Wuhan 430033,China;2.Key Laboratory of Surveying and Mapping Technology on Island and Reef,National Administration of Surveying,Mapping and Geoinformation,Qingdao 266510,China;3.Institute of Geodesy and Geophysics,Chinese Academy of Sciences,Wuhan 430077,China |
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| Abstract: | In order to improve the precision of the innermost area effects in geoid calculation using deflections of the vertical,components of deflections of the vertical were expressed as double quadratic polynomials regarding the innermost area as a rectangular one,and the formulae to calculate the innermost area effects were derived after the non-singular transformation was introduced.The analysis based on the theoretical model of deflections of the vertical shows that errors of traditional formulae depend on the latitude and the ratio of the change of the north-south deflection component along the meridian to that of the west-east deflection component along the parallel.A practical calculation was done based on deflections of the vertical data with a resolution of 2′×2′ in a middle latitude area.The results indicate that the maximal differences of the innermost area effects calculated by traditional and this formulae are several centimeters when the innermost area is only a grid including the calculation point.The formulae could provide theoretical basis for the calculation of the geoid innermost area effects with high precision. |
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| Keywords: | satellite altimetry Molodensky formula non-singular transformation geoid innermost area effects |
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