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Deflections of the vertical from full-tensor and single-instrument gravity gradiometry
https://orcid.org/0000-0002-7846-9197
Abstract Gravity gradiometry on a moving platform, whether ground or airborne, has the potential to offer an efficient and accurate determination of the deflection of the vertical by simple line integration. A significant error in this process is a trend error that results from the integration of systematic gradient errors. Using an airborne full-tensor gradiometry data set of regularly spaced and intersecting tracks over a 10 km square region and the USDOV2012 vertical deflection model to calibrate these long wavelength errors, it is shown that the gradient-derived deflections agree with the USDOV2012 model at the level of 0.6–0.9 arcsec. Moreover, it is shown by graphical inspection that these differences represent high-frequency signal rather than error. Another data processing technique is examined using only (simulated) single-gradiometer instrument data, i.e., the local differential curvature components, $$(\varGamma _{{ yy}} - \varGamma _{{ xx}})/2$$ and $$\varGamma _{{ xy}}$$, of the gravity field. While in theory these data can yield deflection components using two parallel data tracks, the results in the tested case are unsatisfactory due to implicit additional cross-track integration errors that accumulate systematically. The analysis thus demonstrates the importance of using the individual horizontal gradient components, $$\varGamma _{{ xx}}$$, $$\varGamma _{{ yy}}$$, to derive the deflection of the vertical.
Deflections of the vertical from full-tensor and single-instrument gravity gradiometry
https://orcid.org/0000-0002-7846-9197
Abstract Gravity gradiometry on a moving platform, whether ground or airborne, has the potential to offer an efficient and accurate determination of the deflection of the vertical by simple line integration. A significant error in this process is a trend error that results from the integration of systematic gradient errors. Using an airborne full-tensor gradiometry data set of regularly spaced and intersecting tracks over a 10 km square region and the USDOV2012 vertical deflection model to calibrate these long wavelength errors, it is shown that the gradient-derived deflections agree with the USDOV2012 model at the level of 0.6–0.9 arcsec. Moreover, it is shown by graphical inspection that these differences represent high-frequency signal rather than error. Another data processing technique is examined using only (simulated) single-gradiometer instrument data, i.e., the local differential curvature components, $$(\varGamma _{{ yy}} - \varGamma _{{ xx}})/2$$ and $$\varGamma _{{ xy}}$$, of the gravity field. While in theory these data can yield deflection components using two parallel data tracks, the results in the tested case are unsatisfactory due to implicit additional cross-track integration errors that accumulate systematically. The analysis thus demonstrates the importance of using the individual horizontal gradient components, $$\varGamma _{{ xx}}$$, $$\varGamma _{{ yy}}$$, to derive the deflection of the vertical.
Deflections of the vertical from full-tensor and single-instrument gravity gradiometry
https://orcid.org/0000-0002-7846-9197
Abstract Gravity gradiometry on a moving platform, whether ground or airborne, has the potential to offer an efficient and accurate determination of the deflection of the vertical by simple line integration. A significant error in this process is a trend error that results from the integration of systematic gradient errors. Using an airborne full-tensor gradiometry data set of regularly spaced and intersecting tracks over a 10 km square region and the USDOV2012 vertical deflection model to calibrate these long wavelength errors, it is shown that the gradient-derived deflections agree with the USDOV2012 model at the level of 0.6–0.9 arcsec. Moreover, it is shown by graphical inspection that these differences represent high-frequency signal rather than error. Another data processing technique is examined using only (simulated) single-gradiometer instrument data, i.e., the local differential curvature components, $$(\varGamma _{{ yy}} - \varGamma _{{ xx}})/2$$ and $$\varGamma _{{ xy}}$$, of the gravity field. While in theory these data can yield deflection components using two parallel data tracks, the results in the tested case are unsatisfactory due to implicit additional cross-track integration errors that accumulate systematically. The analysis thus demonstrates the importance of using the individual horizontal gradient components, $$\varGamma _{{ xx}}$$, $$\varGamma _{{ yy}}$$, to derive the deflection of the vertical.
Deflections of the vertical from full-tensor and single-instrument gravity gradiometry
Jekeli, Christopher (author)
Journal of Geodesy ; 93
2018
Article (Journal)
English
BKL:
38.73
Geodäsie
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