共查询到19条相似文献,搜索用时 78 毫秒
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从边值理论出发,推导了顾及Stokes核函数改化的观测值系统误差传播公式,基于超高阶重力场模型设计了仿真试验,以定量分析顾及核函数改化的重力异常系统差对大地水准面计算精度影响。仿真试验结果表明,重力异常系统差对大地水准面的影响表现为系统性特征,顾及核函数改化的Stokes积分公式能显著改进大地水准面计算精度,即使重力异常系统误差达3 mGal,大地水准面精度也优于1 cm,这些成果将为大地水准面精化工程的方案优化和质量评估提供有益参考。 相似文献
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提出了椭球面在球面上投影中大地方位角的改正问题,推算了高斯等角球面上的方位角改正公式,经过实际算例,验证了大地方位角的改正精度和海图制图中规定的纬度带取值范围的正确性。 相似文献
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辅助纬度反解公式的Lagrange级数法推演 总被引:3,自引:2,他引:1
对地图投影理论中经常遇到的等距离纬度、等量纬度和等面积纬度的反解公式进行了新的研究。利用Lagrange级数公式,借助计算机代数系统强大的数学分析功能,全面给出了这些纬度用椭球偏心率幂级数形式表示的反解公式。与以往数值形式表示的反解展开式不同,这些反解公式是以符号形式给出。研究表明计算机代数系统的应用不但极大地提高了公式推演的效率和准确度,而且反解系数从此可以表示为更简单和更便于记忆的符号形式。 相似文献
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讨论了一种在一般闭区间上连续的无穷级数展开方法,针对测量和地图学中常用纬度间正反解等一类问题,给出了一种傅里叶级数解算方法,并进行了相应的理论分析和计算。基于Mathematica计算机代数系统,推导出常用纬度与大地纬度间正反解的级数展开式,表明运用傅里叶级数解法可以简单表示和计算一类复杂奇函数的正反解无穷展开式。算例分析验证表明,该方法推导出的纬度正反解展开式是正确的。傅里叶级数方法为分析一类正反解问题无穷展开式的一般系数和形式提供了理论分析依据,具有通用性,丰富了纬度正反解变换的相关理论。 相似文献
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高程信息是时空位置的重要组成部分,实时获取高精度海拔高是测绘导航信息化的关键步骤之一。北斗导航终端能快速高效地测定大地高,结合高精度的数字高程基准模型,可实时获取精密海拔高程。在顾及1985国家高程基准与全球高程基准之间垂直偏差的基础上,基于GOCE+EGM08重力场模型构建了统一到CGCS 2000椭球的区域数字高程基准模型,该模型范围对应北斗区域导航的覆盖范围,即55°S~55°N,55°E~180°E,模型精度优于米级,满足北斗导航终端对海拔高的应用需求;利用实时SQLITE数据库技术,基于该数字高程基准模型构建了北斗导航终端的海拔实时获取系统,实现了任意测点精密海拔高程的实时获取。 相似文献
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Karl Rinner 《Marine Geodesy》2013,36(3):203-205
The long‐term mean sea level in the Baltic Sea is investigated using the coupled three‐basin model constructed by Carlsson (1997). The model is forced by the observed sea level in the Kattegat, the freshwater supply, horizontal air pressure and density gradients, and the wind stress. Both the seasonal variations and the slope of the mean sea level are investigated and compared with the results of another oceanographic model (Lisitzin, 1962) and a geodetic model (Ekman &; Mäkinen, 1996). In the geodetic model an unofficial height system, NH60, is used, and one part of the investigation is to find out whether this height system is useful for oceanographers. The estimated mean sea level difference between the northern and the southern parts of the Baltic Sea are: 17.1 cm (the present model), 26 cm (Lisitzin's model), and 18.3 cm (the geodetic model). It is concluded that the mean sea level difference between the northern and southern parts of the Baltic Sea is due mainly to horizontal variations of density and air pressure, and that the height system NH60 is suitable for oceanographie applications. 相似文献
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伪距单点定位的精度分析及改进 总被引:1,自引:0,他引:1
GPS伪距单点定位速度快、不存在整周模糊度,因此具有很大的应用价值。分析了电离层延迟、对流层延迟、相对论效应、地球自转改正对伪距单点定位结果的影响,介绍了两种多历元求解时处理接收机钟差的方法,最后讨论了如何以大地坐标和高斯坐标为参数进行定位求解。 相似文献
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GPS测量直接获得点位的精确三维坐标,通过空间直角坐标系、大地坐标系、站心地平直角坐标系、站心极坐标系等一系列转换,再加入大气折光差改正和垂线偏差改正,就可以快速获得设备标校所需的精确基准。与采用常规测量方法、分别计算设备标校基准相比,不仅大大减少了工作量,还提高了计算结果的精度。 相似文献
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Route height connection across the sea by using the vertical deflections and ellipsoidal height data
Distance between the main land and island is so long that it is very difficult to precisely connect the height datum across the sea with the traditional method like the trigonometric leveling,or it is very expensive and takes long time to implement the height transfer with the geopotential technique.We combine the data of GPS surveying,astro-geodesy and EGM2008 to precisely connect the orthometric height across the sea with the improved astronomical leveling method in the paper.The Qiongzhou Strait is selected as the test area for the height connection over the sea.We precisely determine the geodetic latitudes,longitudes,heights and deflections of the vertical for four points on both sides across the strait.Modeled deflections of the vertical along the height connecting routes over the sea are determined with EGM2008 model based on the geodetic positions and heights of the sea segmentation points from DNSC08MSS model.Differences of the measured and modeled deflections of the vertical are calculated at four points on both sides and linearly change along the route.So the deflections of the vertical along the route over the sea can be improved by the linear interpolation model.The results are also in accord with those of trigonometirc levelings.The practical case shows that we can precisely connect the orthometric height across the Qiongzhou Strait to satisfy the requirement of order 3 leveling network of China.The method is very efficient to precisely connect the height datum across the sea along the route up to 80 km. 相似文献
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针对球谐函数定积分计算中Legendre函数递推问题展开研究,分析了标准向前列推法、Belikov法、跨阶次法、X数法以及顾及麦克劳林级数展开式对球谐函数定积分计算的影响。利用Eigen6c-4地球重力场模型计算扰动引力梯度径向分量,分析不同方法之间的差异。实验表明,不考虑麦克劳林级数展开式时4种方法的相对精度在高纬度地区较差,但计算模型扰动引力径向分量的精度一致,结合麦克劳林级数式可提高高纬度地区定积分计算的相对精度,但会降低中低纬度地区定积分计算的精度,并且对高纬度地区扰动引力径向分量的影响极小,但会严重降低低纬度地区扰动引力梯度计算的精度。 相似文献