Regional recovery of gravity anomaly from the inversion of diagonal components of GOCE gravitational tensor: A case study in Ethiopia

• Autorzy: Eshagh Mehdi , Gedamu Andenet A. , Bedada Tulu B.

Identyfikatory

DOI

10.2478/arsa-2018-0006

• Języki publikacji: EN

Abstrakty

EN

The tensor of gravitation is traceless as the gravitational field of the Earth is harmonic outside the Earth’s surface. Therefore, summation of the 2nd-order horizontal derivatives on its diagonal components should be equal to the radial one but with the opposite sign. The gravity field can be recovered locally from either of them, or even their combination. Here, we use the in-orbit diagonal components of the gravitational tensor measured by the gravity field and steady state ocean circulation explorer (GOCE) mission for recovering gravity anomaly with a resolution of 1°×1° at sea level in Ethiopia. In order to solve the system of equations, derived after discretisation of integral equations, the Tikhonov regularisation is applied and the bias of this regularisation is estimated and removed from the estimated gravity anomalies. The errors of the anomalies are estimated and their significance of recovery from these diagonal components is investigated. Statistically, the difference between the recovered anomalies from each scenario is not significant comparing to their errors. However, their joint inversion of the diagonal components improved the solution by about 1 mGal. Furthermore, the inversion processes are better stabilised when using errors of the input data compared with its exclusion, but at the penalty of degradation in accuracy of the estimates.

Słowa kluczowe

EN

gravitational field; laplace condition; regularisation; error estimation

• Wydawca: Centrum Badań Kosmicznych PAN ; De Gruyter
• Czasopismo: Artificial Satellites : Journal of Planetary Geodesy
• Rocznik: 2018
• Tom: Vol. 53, No. 2
• Strony: 55--74

Twórcy

autor

Eshagh Mehdi

• Department of Engineering Science, University of West, Sweden

autor

Gedamu Andenet A.

• Addis Ababa University, Addis Ababa Institute of Technology, School of Civil and Environmental Engineering, Addis Ababa, Ethiopia
• Entoto Observatory and Research Centre, Ethiopian Space Science and Technology Institute, Addis Ababa, Ethiopia

autor

Bedada Tulu B.

• Entoto Observatory and Research Centre, Ethiopian Space Science and Technology Institute, Addis Ababa, Ethiopia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).