Explicit formula for the geoid-quasigeoid separation

Robert Tenzer, P. Novák, P. Moore, M. Kuhn, P. Vaníček

Research output: Journal article publicationJournal articleAcademic researchpeer-review

19 Citations (Scopus)

Abstract

The explicit formula for the geoid-to-quasigeoid correction is derived in this paper. On comparing the geoidal height and height anomaly, this correction is found to be a function of the mean value of gravity disturbance along the plumbline within the topography. To evaluate the mean gravity disturbance, the gravity field of the Earth is decomposed into components generated by masses within the geoid, topography and atmosphere. Newton's integration is then used for the computation of topography-and atmosphere-generated components of the mean gravity, while the combined solution for the downward continuation of gravity anomalies and Stokes' boundary-value problem is utilized in computing the component of mean gravity disturbance generated by mass irregularities within the geoid. On application of this explicit formulism a theoretical accuracy of a few millimetres can be achieved in evaluation of the geoid-to-quasigeoid correction. However, the real accuracy could be lower due to deficiencies within the numerical methods and to errors within the input data (digital terrain and density models and gravity observations). 2006.
Original languageEnglish
Pages (from-to)607-618
Number of pages12
JournalStudia Geophysica et Geodaetica
Volume50
Issue number4
DOIs
Publication statusPublished - 1 Oct 2006
Externally publishedYes

Keywords

  • Geoid
  • Height
  • Mean gravity
  • Telluroid

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology

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