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

Robert Tenzer, Pavel Novák, Peter Vajda, Artu Ellmann, Ahmed Abdalla

Research output: Journal article publicationJournal articleAcademic researchpeer-review

8 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)55-71
Number of pages17
JournalStudia Geophysica et Geodaetica
Volume55
Issue number1
DOIs
Publication statusPublished - 17 Feb 2011
Externally publishedYes

Keywords

  • Far-zone contribution
  • gravity field
  • topography
  • truncation coefficients

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology

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