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Attraction of the topographic masses

Abd-Elmotaal, Hussein

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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Attraction of the topographic masses

Abd-Elmotaal, Hussein

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.

Attraction of the topographic masses

Abd-Elmotaal, Hussein

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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Title:

Attraction of the topographic masses

Contributors:

Abd-Elmotaal, Hussein (author)

Published in:

Bulletin géodésique ; 69

Publication date:

1995

ISSN:

DOI:

https://doi.org/10.1007/BF00806743

Type of media:

Article (Journal)

Type of material:

Print

Language:

English

Keywords:

Geodäsie , Geometrie , Geodynamik , Zeitschrift , Mathematik , Mineralogie

Classification:

BKL: 38.30 Mineralogie / 38.73 Geodäsie
Local classification TIB: 275/3200

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