On the computation of the gravitational effect of three-dimensional density models of the earth's crust

Vyskočil, Vincenc; Burda, M.; Kolbenheyer, Tibor

doi:10.1007/bf01601900

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2011

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Cited by 4 publications

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“…1). Appropriate algorithms have been in the literature for decades and standard routines are available (TAKIN and TALWANI, 1966;JOHNSON and LITEHISER, 1972;VYSKOCIL and BURDA 1976;VON FRESE et al, 1981). But these algorithms were based either on some approximations like lowering the distant points to resemble the Earth's curvature or neglecting the Earth's ellipticity.…”

Section: Introductionmentioning

confidence: 99%

The Effects of the Earth’s Curvature on Gravity and Geoid Calculations

Çavşak

2011

Pure Appl. Geophys.

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While it is obvious that large-scale gravity studies should account for the sphericity of the Earth, each case should be examined. If a geometry model is very large for the 3D-gravity calculation, it cannot be correctly defined in Cartesian coordinates. Because of the Earth's curvature it is necessary to use spherical coordinates, the importance of which is shown in this paper. The calculation of the gravity for a cylinder reveals, 1 m above the center of the cylinder, a relative difference of 13% between the models with Cartesian and spherical coordinates.

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Section: Introductionmentioning

confidence: 99%