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Attraction of the topographic masses

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Abstract

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.

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Authors and Affiliations

  1. Civil Engineering Department, Faculty of Engineering, Minia University, 61111, Minia, Egypt

    Hussein Abd-Elmotaal

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  1. Hussein Abd-Elmotaal
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Abd-Elmotaal, H. Attraction of the topographic masses. Bulletin Géodésique 69, 304–307 (1995). https://doi.org/10.1007/BF00806743

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  • DOI: https://doi.org/10.1007/BF00806743

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