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Regional recovery of the disturbing gravitational potential by inverting satellite gravitational gradients

Citace:
PITOŇÁK, M., ŠPRLÁK, M., HAMÁČKOVÁ, E., NOVÁK, P. Regional recovery of the disturbing gravitational potential by inverting satellite gravitational gradients. GEOPHYSICAL JOURNAL INTERNATIONAL, 2016, roč. 205, č. 1, s. 89-98. ISSN: 0956-540X
Druh: ČLÁNEK
Jazyk publikace: eng
Anglický název: Regional recovery of the disturbing gravitational potential by inverting satellite gravitational gradients
Rok vydání: 2016
Autoři: Ing. Martin Pitoňák Ph.D. , Ing. Michal Šprlák Ph.D. , Ing. Eliška Hamáčková , Prof. Ing. Pavel Novák Ph.D. ,
Abstrakt CZ: Tento příspěvěk diskutuje možnost odvození lokálního modelu tíhového pole z družicových měření gradientů gravitačního potenciálu Země.
Abstrakt EN: Regional recovery of the disturbing gravitational potential in the area of Central Europe from satellite gravitational gradients data is discussed in this contribution. The disturbing gravitational potential is obtained by inverting surface integral formulas which transform the disturbing gravitational potential onto disturbing gravitational gradients in the spherical local north-oriented frame. Two numerical approaches that solve the inverse problem are considered. In the first approach, the integral formulas are rigorously decomposed into two parts, i.e., the effects of gradient data within near and distant zones. While the effect of the near zone is sought as an inverse problem, the effect of the distant zone is synthesized from the global gravitational model GGM05S using spectral weights given by truncation error coefficients up to the degree 150. In the second approach, a reference gravitational field up to the degree 180 is applied to reduce and smooth measured gravitational gradients. In both cases we recovered the disturbing gravitational tensor from each of the four well-measured gravitational gradients separately as well as from their combination. Obtained results are compared with the EGM2008, DIR-r2, TIM-r2 and SPW-r2 global gravitational models. The best fit was achieved for EGM08 and the second approach combining all four well-measured gravitational gradients.
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