GOCE long-wavelength gravity field recovery from 1s-sampled kinematic orbits using the acceleration approach

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

External Research Organisations

  • University of Stuttgart
  • Austrian Academy of Sciences
  • University of Luxembourg
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Details

Original languageEnglish
Title of host publicationGravity, Geoid and Height Systems - IAG Symposium GGHS2012, Proceedings
EditorsUrs Marti, Pascal Willis, Chris Rizos
PublisherSpringer Verlag
Pages21-26
Number of pages6
ISBN (electronic)9783319108360
Publication statusPublished - 2014
Externally publishedYes
EventInternational Association of Geodesy Symposium on Gravity, Geoid and Height Systems, GGHS 2012 - Venice, Italy
Duration: 9 Oct 201212 Oct 2012

Publication series

NameInternational Association of Geodesy Symposia
Volume141
ISSN (Print)0939-9585

Abstract

The acceleration approach is an efficient and accurate tool for the estimation of the lowfrequency part of GOCE (Gravity field and steady-state Ocean Circulation Explorer) gravity fields from GPS-based satellite-to-satellite tracking (SST). This approach is characterized by second-order numerical differentiation of the kinematic orbit. However, the application to GOCE-SST data, given with a 1s-sampling, showed that serious problems arise due to strong amplification of high frequency noise. In order to mitigate this problem, we developed a tailored processing strategy in a recent paper which makes use of an extended differentiation scheme acting as low-pass filter, and empirical covariance functions to account for the different precision of the components and the inter-epoch correlations caused by orbit computation and numerical differentiation. However, also a more “bruteforce” strategy can be applied using the standard unextended differentiation scheme and data-weighting by error propagation of the provided orbit variance-covariance matrices (VCMs). It is shown that the direct differentiator shows a better approximation and the exploitedmethod benefits from the stochastic information contained in the VCMs compared to the former strategy. A strong dependence on the maximum resolution, the arc-length and the method for data-weighting is observed, which requires careful selection of these parameters. By comparison with alternative GOCE hl-SST solutions we conclude that the acceleration approach is a competitive method for gravity field recovery from kinematic orbit information.

Keywords

    Data weighting, GOCE, Gravity field, Kinematic orbits, Orbit variances, Satellite-to-satellite tracking

ASJC Scopus subject areas

Cite this

GOCE long-wavelength gravity field recovery from 1s-sampled kinematic orbits using the acceleration approach. / Reubelt, T.; Baur, O.; Weigelt, M. et al.
Gravity, Geoid and Height Systems - IAG Symposium GGHS2012, Proceedings. ed. / Urs Marti; Pascal Willis; Chris Rizos. Springer Verlag, 2014. p. 21-26 (International Association of Geodesy Symposia; Vol. 141).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Reubelt, T, Baur, O, Weigelt, M, Roth, M & Sneeuw, N 2014, GOCE long-wavelength gravity field recovery from 1s-sampled kinematic orbits using the acceleration approach. in U Marti, P Willis & C Rizos (eds), Gravity, Geoid and Height Systems - IAG Symposium GGHS2012, Proceedings. International Association of Geodesy Symposia, vol. 141, Springer Verlag, pp. 21-26, International Association of Geodesy Symposium on Gravity, Geoid and Height Systems, GGHS 2012, Venice, Italy, 9 Oct 2012. https://doi.org/10.1007/978-3-319-10837-7_3
Reubelt, T., Baur, O., Weigelt, M., Roth, M., & Sneeuw, N. (2014). GOCE long-wavelength gravity field recovery from 1s-sampled kinematic orbits using the acceleration approach. In U. Marti, P. Willis, & C. Rizos (Eds.), Gravity, Geoid and Height Systems - IAG Symposium GGHS2012, Proceedings (pp. 21-26). (International Association of Geodesy Symposia; Vol. 141). Springer Verlag. https://doi.org/10.1007/978-3-319-10837-7_3
Reubelt T, Baur O, Weigelt M, Roth M, Sneeuw N. GOCE long-wavelength gravity field recovery from 1s-sampled kinematic orbits using the acceleration approach. In Marti U, Willis P, Rizos C, editors, Gravity, Geoid and Height Systems - IAG Symposium GGHS2012, Proceedings. Springer Verlag. 2014. p. 21-26. (International Association of Geodesy Symposia). doi: 10.1007/978-3-319-10837-7_3
Reubelt, T. ; Baur, O. ; Weigelt, M. et al. / GOCE long-wavelength gravity field recovery from 1s-sampled kinematic orbits using the acceleration approach. Gravity, Geoid and Height Systems - IAG Symposium GGHS2012, Proceedings. editor / Urs Marti ; Pascal Willis ; Chris Rizos. Springer Verlag, 2014. pp. 21-26 (International Association of Geodesy Symposia).
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abstract = "The acceleration approach is an efficient and accurate tool for the estimation of the lowfrequency part of GOCE (Gravity field and steady-state Ocean Circulation Explorer) gravity fields from GPS-based satellite-to-satellite tracking (SST). This approach is characterized by second-order numerical differentiation of the kinematic orbit. However, the application to GOCE-SST data, given with a 1s-sampling, showed that serious problems arise due to strong amplification of high frequency noise. In order to mitigate this problem, we developed a tailored processing strategy in a recent paper which makes use of an extended differentiation scheme acting as low-pass filter, and empirical covariance functions to account for the different precision of the components and the inter-epoch correlations caused by orbit computation and numerical differentiation. However, also a more “bruteforce” strategy can be applied using the standard unextended differentiation scheme and data-weighting by error propagation of the provided orbit variance-covariance matrices (VCMs). It is shown that the direct differentiator shows a better approximation and the exploitedmethod benefits from the stochastic information contained in the VCMs compared to the former strategy. A strong dependence on the maximum resolution, the arc-length and the method for data-weighting is observed, which requires careful selection of these parameters. By comparison with alternative GOCE hl-SST solutions we conclude that the acceleration approach is a competitive method for gravity field recovery from kinematic orbit information.",
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AU - Reubelt, T.

AU - Baur, O.

AU - Weigelt, M.

AU - Roth, M.

AU - Sneeuw, N.

N1 - Publisher Copyright: © Springer International Publishing Switzerland 2014.

PY - 2014

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N2 - The acceleration approach is an efficient and accurate tool for the estimation of the lowfrequency part of GOCE (Gravity field and steady-state Ocean Circulation Explorer) gravity fields from GPS-based satellite-to-satellite tracking (SST). This approach is characterized by second-order numerical differentiation of the kinematic orbit. However, the application to GOCE-SST data, given with a 1s-sampling, showed that serious problems arise due to strong amplification of high frequency noise. In order to mitigate this problem, we developed a tailored processing strategy in a recent paper which makes use of an extended differentiation scheme acting as low-pass filter, and empirical covariance functions to account for the different precision of the components and the inter-epoch correlations caused by orbit computation and numerical differentiation. However, also a more “bruteforce” strategy can be applied using the standard unextended differentiation scheme and data-weighting by error propagation of the provided orbit variance-covariance matrices (VCMs). It is shown that the direct differentiator shows a better approximation and the exploitedmethod benefits from the stochastic information contained in the VCMs compared to the former strategy. A strong dependence on the maximum resolution, the arc-length and the method for data-weighting is observed, which requires careful selection of these parameters. By comparison with alternative GOCE hl-SST solutions we conclude that the acceleration approach is a competitive method for gravity field recovery from kinematic orbit information.

AB - The acceleration approach is an efficient and accurate tool for the estimation of the lowfrequency part of GOCE (Gravity field and steady-state Ocean Circulation Explorer) gravity fields from GPS-based satellite-to-satellite tracking (SST). This approach is characterized by second-order numerical differentiation of the kinematic orbit. However, the application to GOCE-SST data, given with a 1s-sampling, showed that serious problems arise due to strong amplification of high frequency noise. In order to mitigate this problem, we developed a tailored processing strategy in a recent paper which makes use of an extended differentiation scheme acting as low-pass filter, and empirical covariance functions to account for the different precision of the components and the inter-epoch correlations caused by orbit computation and numerical differentiation. However, also a more “bruteforce” strategy can be applied using the standard unextended differentiation scheme and data-weighting by error propagation of the provided orbit variance-covariance matrices (VCMs). It is shown that the direct differentiator shows a better approximation and the exploitedmethod benefits from the stochastic information contained in the VCMs compared to the former strategy. A strong dependence on the maximum resolution, the arc-length and the method for data-weighting is observed, which requires careful selection of these parameters. By comparison with alternative GOCE hl-SST solutions we conclude that the acceleration approach is a competitive method for gravity field recovery from kinematic orbit information.

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