Point mass method applied to the regional gravimetric determination of the geoid

C. Antunes, R. Pail, J. Catalao

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

The determination of the local gravity field by means of the point mass inversion method can be performed as an alternative to conventional numerical methods, such as the least-squares collocation. Based on the first derivative of the inverse-distance Newtonian potential for the representation of the gravity anomaly data, it is possible to compute any wavelenght component of the geoid in planar approximation with sufficient accuracy. In order to exemplify the theoretical concept, two applications are presented of the computation of two different wavelength components of the geoid, the long wavelength component in a local solution and the short wavelength component in a regional solution. The results are compared with corresponding least-squares collocation solutions, using a global geopotential model to remove and to restore the long wavelength component.

Original languageEnglish
Pages (from-to)495-509
Number of pages15
JournalStudia Geophysica et Geodaetica
Volume47
Issue number3
DOIs
StatePublished - 2003
Externally publishedYes

Keywords

  • Azores
  • Gravity anomaly
  • Least-squares collocation
  • Planar approximation
  • Point mass method
  • Tagus Valley
  • Trend field

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