Attraction of the topographic masses

Attraction of the topographic masses
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地形的吸引力

DOI:
10.1007/bf00806743
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发表时间:
1995
期刊:
Bulletin géodésique
影响因子:
--
通讯作者:
H. Abd
H. Abd
中科院分区:
--
文献类型:
--
作者:
H. Abd

文献摘要

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导出了球形地球上地形质量元的引力。一个遥远的质量元素的情况下处理。研究了由不同网格尺寸的数字模型组合计算地形质量吸引力的方法。说明了用距离质量元的点质量公式的局限性。结果表明,在计算点附近(约2.5km)使用人工精细DHM(将精细DHM的每个单元划分为与原始单元高度相同的非常精细的子单元)可以减少计算地形质量吸引力的误差。
The attraction of a topographic mass element on a spherical earth is derived. The case of a distant mass element is treated. The procedure of calculating the attraction of the topographic masses from a combination of digital models of different grid sizes is studied. The limitation of using the point mass formula of the distant mass elements is illustrated. The results show that using an artificial very fine DHM (made by dividing each cell of the fine DHM into a very fine sub-cells having the same height as the original cell) in the neighbourhood of the computational point (about 2.5 km) reduces the errors on calculating the attraction of the topographic masses.