Truncation errors in the vertical extension of gravity anomalies by poisson’s integral theorem

Witte, L. de

doi:10.1007/bf02526106

Cited by 3 publications

(2 citation statements)

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“…Truncation coefficients for the Poisson kernel were implemented by Witte (1967), Martinec (1996), andHuang (2002). In the above studies, the form of truncation coefficients depends on the type of integral kernel for which they are applied.…”

Section: Introductionmentioning

confidence: 99%

Far-zone contributions to the gravity field quantities by means of Molodensky’s truncation coefficients

et al. 2009

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Section: Introductionmentioning

confidence: 99%

Far-zone contributions to the gravity field quantities by means of Molodensky’s truncation coefficients

et al. 2009

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“…Hirvonen and Moritz (1963) utilized Molodensky's truncation coefficients in deriving the formulae for the far-zone contributions to components of the deflection of the vertical. The truncation coefficients for the Poisson kernel were implemented by Witte (1967), Martinec (1996) and Huang (2002). In these studies, the form of truncation coefficients depends on the type of integral.…”

Section: Introductionmentioning

confidence: 99%

Far-zone gravity field contributions corrected for the effect of topography by means of molodensky’s truncation coefficients

et al. 2011

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A spectral representation of the topographic corrections to gravity field quantities is formulated in terms of spherical height functions. When computing the far-zone contributions to the topographic corrections, various types of the truncation coefficients are applied to a spectral representation of Newton's integral. In this study we utilise Molodensky's truncation coefficients in deriving the expressions for the far-zone contributions to topographic corrections. The expressions for computing the far-zone gravity field contributions corrected for the effect of topography are then obtained by combining the expressions for the far-zone contributions to the gravity field quantities and to the respective topographic corrections, both expressed in terms of Molodensky's truncation coefficients. The numerical examples of the far-zone contributions to the topographic corrections and to the topography-corrected gravity field quantities are given over the study area situated in the Canadian Rocky Mountains with adjacent planes. Coefficients of the global elevation and geopotential models are used as the input data.

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Altitude extension of the three anomalous gravity components

Witte

1969

Bull. Geodesique

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Truncation errors in the vertical extension of gravity anomalies by poisson’s integral theorem

Cited by 3 publications

References 2 publications

Far-zone contributions to the gravity field quantities by means of Molodensky’s truncation coefficients

Far-zone contributions to the gravity field quantities by means of Molodensky’s truncation coefficients

Far-zone gravity field contributions corrected for the effect of topography by means of molodensky’s truncation coefficients

Altitude extension of the three anomalous gravity components

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