Regional gravity field modelling from GOCE observables

Martin Pitoňák, Michal Šprlák, Pavel Novák, Robert Tenzer

Research output: Journal article publicationJournal articleAcademic researchpeer-review

7 Citations (Scopus)


For this purpose, we derive integral formulas which allow converting the gravity disturbances onto the disturbing gravitational gradients in the local north-oriented frame (LNOF). The derived formulas are free of singularities in case of r≠R. We then investigate three numerical approaches for solving their inverses. In the initial approach, the integral formulas are firstly modified for solving individually the near- and distant-zone contributions. While the effect of the near-zone gravitational gradients is solved as an inverse problem, the effect of the distant-zone gravitational gradients is computed by numerical integration from the global gravitational model (GGM) TIM-r4. In the second approach, we further elaborate the first scenario by reducing measured gravitational gradients for gravitational effects of topographic masses. In the third approach, we apply additional modification by reducing gravitational gradients for the reference GGM. In all approaches we determine the gravity disturbances from each of the four accurately measured gravitational gradients separately as well as from their combination. Our regional gravitational field solutions are based on the GOCE EGG_TRF_2 gravitational gradients collected within the period from November 1 2009 until January 11 2010. Obtained results are compared with EGM2008, DIR-r1, TIM-r1 and SPW-r1. The best fit, in terms of RMS (2.9 mGal), is achieved for EGM2008 while using the third approach which combine all four well-measured gravitational gradients. This is explained by the fact that a-priori information about the Earth's gravitational field up to the degree and order 180 was used.
Original languageEnglish
Pages (from-to)114-127
Number of pages14
JournalAdvances in Space Research
Issue number1
Publication statusPublished - 1 Jan 2017
Externally publishedYes


  • Downward continuation
  • Gravity disturbances
  • Hotine's integral
  • Regional gravitational field modelling
  • Satellite gravitational gradients

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science


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