【摘要】 针对目前重力场匹配导航研究的需要,提出了一种计算机模拟全张量重力梯度基准图的方法,可利用地形高程数据模拟计算局部地区的重力梯度数字地图。该方法从扰动重力梯度的原理出发,分析了地形起伏对重力梯度场的影响,并提出以立方体为地形单元模型,积分计算测量点附近的地形对测量点重力梯度各个分量值的扰动影响。在此基础上模拟格网式测量,从而得到较高分辨率的全张量重力梯度数字地图。仿真实验表明,这种方法计算所得的重力梯度基准图可以精确到10-2～10-1E,相对误差为8.27%,并且存在大量的细节纹理,有着较好的导航应用前景。与实测数据的对比分析说明,所得的重力梯度基准图基本符合实测数据的特性,所提出的方法可以作为一种有效的全张量重力梯度基准图模拟的方法。更多还原

【Abstract】 A novel method of modelling full-tensor gravity gradient maps with computers was proposed for the requirement of current gravity matching navigation, and it could be used to calculate local gravity gradient maps from digital terrain data.Beginning with the theory of gravity gradient, the full-tensor gradient field anomalies from terrain fluctuation was analyzed, the cubic terrain blocks model was used, then with integral equations, every tensor anomalies from around terrain fluctuation could be calculated at the measure point.Based on it, gridding measurement should be simulated to obtain high-resolution full-tensor gravity gradient maps.The simulation tests and analysis show that, the gravity gradient maps gained with this method have a 10-2～10-1E precision, 8.27% comparative error, besides, a lot of detail and texture in the maps appears nice applicative potential in navigation.The contrast between the maps and the actual data illuminates that the both are ultimately accord with each other, thus the method presented is effective on modelling full-tensor gravity gradient maps.更多还原