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  • 1
    Call number: ZSP-180-Z7
    In: Berichte aus dem Zentrum für Meeres- und Klimaforschung
    Type of Medium: Monograph available for loan
    Pages: 179 S. : graph. Darst., Kt.
    ISSN: 0947-7179
    Series Statement: Berichte aus dem Zentrum für Meeres- und Klimaforschung : Reihe Z, Interdisziplinäre Zentrumsberichte 7
    Language: English
    Location: AWI Reading room
    Branch Library: AWI Library
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  • 2
    Call number: SR 90.0084(55)
    In: Geodätisch-geophysikalische Arbeiten in der Schweiz
    Type of Medium: Series available for loan
    Pages: 211 S.
    Series Statement: Geodätisch-geophysikalische Arbeiten in der Schweiz 55
    Language: English
    Location: Lower compact magazine
    Branch Library: GFZ Library
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  • 3
    Publication Date: 2023-08-25
    Description: After it was found that the gravity gradients observed by the Gravity field and steady-state Ocean Circulation Explorer (GOCE) satellite could be significantly improved by an advanced calibration, a reprocessing project for the entire mission data set was initiated by ESA and performed by the GOCE High-level processing facility (GOCE HPF). One part of the activity was delivering the gravity field solutions, where the improved level 1b and level 2 data serve as an input for global gravity field recovery. One well-established approach for the analysis of GOCE observations is the so-called time-wise approach. Basic characteristics of the GOCE time-wise solutions is that only GOCE observations are included to remain independent of any other gravity field observables and that emphasis is put on the stochastic modeling of the observations’ uncertainties. As a consequence, the time-wise solutions provide a GOCE-only model and a realistic uncertainty description of the model in terms of the full covariance matrix of the model coefficients. Within this contribution, we review the GOCE time-wise approach and discuss the impact of the improved data and modeling applied in the computation of the new GO_CONS_EGM_TIM_RL06 solution. The model reflects the Earth’s static gravity field as observed by the GOCE satellite during its operation. As nearly all global gravity field models, it is represented as a spherical harmonic expansion, with maximum degree 300. The characteristics of the model and the contributing data are presented, and the internal consistency is demonstrated. The updated solution nicely meets the official GOCE mission requirements with a global mean accuracy of about 2 cm in terms of geoid height and 0.6 mGal in terms of gravity anomalies at ESA’s target spatial resolution of 100 km. Compared to its RL05 predecessor, three kinds of improvements are shown, i.e., (1) the mean global accuracy increases by 10–25%, (2) a more realistic uncertainty description and (3) a local reduction of systematic errors in the order of centimeters.
    Description: European Space Agency http://dx.doi.org/10.13039/501100000844
    Description: Deutsche Forschungsgemeinschaft http://dx.doi.org/10.13039/501100001659
    Description: Gauss Centre for Supercomputing e.V./John von Neumann Institute for Computing
    Description: Projekt DEAL
    Description: https://goce-ds.eo.esa.int/oads/access/
    Keywords: ddc:526 ; GOCE ; Spherical harmonics ; Gravity gradients ; Time-wise approach ; Global gravity field model ; Uncertainty description ; Stochastic modeling
    Language: English
    Type: doc-type:article
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  • 4
    Publication Date: 2021-09-02
    Description: Abstract
    Description: TIM_R6e is an extended version of the satellity-only global gravity field model TIM_R6 (Brockmann et al., 2019) which includes additional terrestrial gravity field observations over GOCE's polar gap areas. The included terrestrial information consists of the PolarGap campaign data (Forsberg et al., 2017) augumented by the AntGG gravity data compilation (Scheinert et al., 2016) over the southern polar gap (〉83°S) and the ArcGP data (Forsberg et al. 2007) over the northern polar gap (〉83°N). The combination is performed on normal equation level, encompassing the terrestrial data as spectrally limited geographic 0.5°x0.5° grids over the polar gaps.
    Description: TechnicalInfo
    Description: Processing procedures: (extending TIM_R6)Gravity from orbits (SST): (identical to TIM_R6)- short-arc integral method applied to kinematic orbits, up to degree/order 150- orbit variance information included as part of the stochastic model, it is refined by empirical covariance functionsGravity from gradients (SGG): (identical to TIM_R6)- parameterization up to degree/order 300- observations used: Vxx, Vyy, Vzz and Vxz in the Gradiometer Reference Frame (GRF)- realistic stochastic modelling by applying digital decorrelation filters to the observation equations; estimated separately for individual data segments applying a robust procedureGravity from terrestrial observations (TER):- collocation of the original terrestrial data sources onto 30'x30' geographic gravity disturbance grids (in the polar gap areas above 83° southern/northern latitude, thus forming a pair of polar caps)- spectral limitation of the data to D/O 300 within the collocation process- the chosen grid is fully compatible with the grid of the zero observation constraints of the original TIM_R6 model. In its function it replaces the original constraints- from the collocated polar caps, a partial normal equation system, up to D/O 300 is derivedCombined solution:- addition of normal equations (SST D/O 150, SGG D/O 300, TER D/O 300)- Constraints: * Kaula-regularization applied to coefficients of degrees/orders 201 - 300 (constrained towards zero, fully compatible with TIM_R6)- weighting of SST and SGG is identical to TIM_R6. All TER observations are weighted with 5 mGal.Specific features of resulting gravity field:- Gravity field solution is (mostly) independent of any other gravity field information (outside the polar gap region)- Constraint towards zero starting from degree/order 201 to improve signal-to-noise ratio- Related variance-covariance information represents very well the true errors of the coefficients (outside the polar gap region)- Solution can be used for independent comparison and combination on normal equation level with other satellite-only models (e.g. GRACE), terrestrial gravity data, and altimetry (outside the polar gap region)- Since in the low degrees the solution is based solely on GOCE orbits, it is not competitive with a GRACE model in this spectral region (outside the polar gap region)- In comparison to TIM_R6, TIM_R6e should deliver more accurate results, especially towards the polar gaps. However, as it uses additional data sources it cannot be seen as totally independent anymore: even outside the polar gap regions correlations (introduced by the holistic nature of spherical harmonics) may be found.
    Keywords: global gravitational model ; ICGEM ; GOCE ; PolarGap ; geodesy ; EARTH SCIENCE 〉 SOLID EARTH 〉 GEODETICS 〉 GEOID CHARACTERISTICS ; EARTH SCIENCE 〉 SOLID EARTH 〉 GRAVITY/GRAVITATIONAL FIELD 〉 GRAVITY
    Language: English
    Type: Dataset , Dataset
    Format: 3 Files
    Format: application/octet-stream
    Format: application/octet-stream
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  • 5
    Publication Date: 2020-02-12
    Language: English
    Type: info:eu-repo/semantics/workingPaper
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  • 6
    Publication Date: 2020-02-12
    Description: After more than 4.5 years in orbit, the Gravity field and steady-state Ocean Circulation Explorer (GOCE) mission ended with the reentry of the satellite on 11 November 2013. This publication serves as a reference for the fifth gravity field model based on the time-wise approach (EGM_TIM_RL05), a global model only determined from GOCE observations. Due to its independence of any other gravity data, a consistent and homogeneous set of spherical harmonic coefficients up to degree and order 280 (corresponding to spatial resolution of 71.5km on ground) is provided including a full covariance matrix characterizing the uncertainties of the model. The associated covariance matrix realistically describes the model quality. It is the first model which is purely based on GOCE including all observations collected during the entire mission. The achieved mean global accuracy is 2.4cm in terms of geoid heights and 0.7mGal for gravity anomalies at a spatial resolution of 100km.
    Language: English
    Type: info:eu-repo/semantics/article
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  • 7
    Publication Date: 2020-02-12
    Description: In our approach to gravity field determination, the GOCE data are processed sequentially on a parallel computer system, iteratively via application of the method of preconditioned conjugate gradient multiple adjustment (PCGMA), and in situ via development of the functionals at the actual location and orientation of the gradiometer. GOCE gradiometry (SGG) data are auto-correlated in their three components Vxx, Vyy and Vzz so that one purpose of PCGMA is the adjustment of the unknown stochastic model of the gradiometer observations, described by decorrelation filters. A sequence of Auto Regressive-Moving Average (ARMA) filters is adjusted to the actual measurement noise to remove these correlations from the observations. This adjustment is refined iteratively, as it is embedded in the estimation of the gravity field parameters. In this contribution we show the effects of various filter complexities on the final gravity field solution and the corresponding error estimates based on two months of GOCE data.
    Language: English
    Type: info:eu-repo/semantics/bookPart
    Format: application/pdf
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  • 8
    Publication Date: 2020-02-12
    Language: English
    Type: info:eu-repo/semantics/workingPaper
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  • 9
    Publication Date: 2020-05-11
    Language: English
    Type: info:eu-repo/semantics/workingPaper
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  • 10
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    Marine Biological Laboratory (Woods Hole, Mass.) | Arizona Board of Regents
    In:  Viktor Hamburger collection, Box 1, Folder 47, Marine Biological Laboratory Archives
    Publication Date: 2023-01-12
    Description: Letter of recommendation
    Description: Correspondence
    Keywords: People
    Repository Name: Woods Hole Open Access Server
    Language: English
    Type: Text
    Format: image/tiff
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