A new global Earth's gravity field model from satellite orbit perturbations: GRIM5‐S1

Biancale, R.; Balmino, G.; Lemoine, Jean‐Michel; Marty, Jean‐Charles; Moynot, B.; Barlier, F.; Exertier, P.; Laurain, O.; Gégout, P.; Schwintzer, P.; Reigber, Christoph; Bode, Arndt; König, Rolf; Massmann, F. H.; Raimondo, J. C.; Schmidt, Roland; Zhu, S. Y.

doi:10.1029/2000gl011721

Cited by 91 publications

(41 citation statements)

References 5 publications

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“…The CHallenging Minisatellite Payload (CHAMP; Reigber et al 2002) mission, launched on 15 July 2000, constituted the first gravity field mission carrying a GPS receiver with continuous 3-D tracking capability and a precise accelerometer to measure the non-gravitational forces. One of the first models developed with only six months of CHAMP data improved the GRIM5-S1 model (Biancale et al, 2000) by almost one order of magnitude up to degree 35 (Reigber et al 2003). The Gravity Recovery and Climate Experiment (GRACE; Tapley et al 2004) twin satellite mission, launched on 17 March 2002, is the second dedicated gravity field mission.…”

Section: Introductionmentioning

confidence: 99%

First GOCE gravity field models derived by three different approaches

Pail¹,

Bruinsma²,

Migliaccio

et al. 2011

J Geod

431

291

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Abstact.Three gravity field models, parameterized in terms of spherical harmonic coefficients, have been computed from 71 days of GOCE (Gravity field and steady-state Ocean Circulation Explorer) orbit and gradiometer data by applying independent gravity field processing methods. These gravity models are one major output of the European Space Agency (ESA) project GOCE High-Level Processing Facility (HPF). The processing philosophies and architectures of these three complementary methods are presented and discussed, emphasizing the specific features of the three approaches. The resulting GOCE gravity field models, representing the first models containing the novel measurement type of gravity gradiometry ever computed, are analyzed and assessed in detail. Together with the coefficient estimates, full variance-covariance matrices provide error information about the coefficient solutions. A comparison with state-of-the-art GRACE and combined gravity field models reveals the additional contribution of GOCE based on only 71 days of data. Compared to combined gravity field models, large deviations appear in regions where the terrestrial gravity data are known to be of low accuracy. The GOCE performance, assessed against the GRACE-only model ITGGrace2010s, becomes superior at degree 150, and beyond. GOCE provides significant additional information of the global Earth gravity field, with an accuracy of the 2-months GOCE gravity field models of 10 cm in terms of geoid heights, and 3 mGal in terms of gravity anomalies, globally at a resolution of 100 km (degree/order 200).

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Section: Introductionmentioning

confidence: 99%

First GOCE gravity field models derived by three different approaches

Pail¹,

Bruinsma²,

Migliaccio

et al. 2011

J Geod

431

291

View full text Add to dashboard Cite

show abstract

“…The differences on the surface are 4.5 times higher than at satellite altitude. Figure 3 presents the error degree-variances to various models (EGM96, GRIM5 C1 and GRIM5 S1; Biancale et al, 2000), as well as the estimated standard deviations of our computations. It shows that the recovered potential fits best to the GRIM5 C1 model.…”

Section: Resultsmentioning

confidence: 99%

Space Gravity Spectroscopy - determination of the Earth’s gravitational field by means of Newton interpolated LEO ephemeris Case studies on dynamic (CHAMP Rapid Science Orbit) and kinematic orbits

2003

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Abstract. An algorithm for the (kinematic) orbit analysis of a Low Earth Orbiting (LEO) GPS tracked satellite to determine the spherical harmonic coefficients of the terrestrial gravitational field is presented. A contribution to existing long wavelength gravity field models is expected since the kinematic orbit of a LEO satellite can nowadays be determined with very high accuracy in the range of a few centimeters. To demonstrate the applicability of the proposed method, first results from the analysis of real CHAMP Rapid Science (dynamic) Orbits (RSO) and kinematic orbits are illustrated. In particular, we take advantage of Newton's Law of Motion which balances the acceleration vector and the gradient of the gravitational potential with respect to an Inertial Frame of Reference (IRF). The satellite's acceleration vector is determined by means of the second order functional of Newton's Interpolation Formula from relative satellite ephemeris (baselines) with respect to the IRF. Therefore the satellite ephemeris, which are normally given in a Body fixed Frame of Reference (BRF) have to be transformed into the IRF. Subsequently the Newton interpolated accelerations have to be reduced for disturbing gravitational and non-gravitational accelerations in order to obtain the accelerations caused by the Earth's gravitational field. For a first insight in real data processing these reductions have been neglected. The gradient of the gravitational potential, conventionally expressed in vector-valued spherical harmonics and given in a Body Fixed Frame of Reference, must be transformed from BRF to IRF by means of the polar motion matrix, the precession-nutation matrices and the Greenwich Siderial Time Angle (GAST). The resulting linear system of equations is solved by means of a least squares adjustment in terms of a Gauss-Markov model in order to estimate the spherical harmonics coefficients of the Earth's gravitational field. Key words. space gravity spectroscopy, spherical harmonics series expansion, GPS tracked LEO satellites, kinematicCorrespondence to: T. Reubelt (reubelt@gis.uni-stuttgart.de) orbit analysis, Newton interpolation Reference framesFirst, the beforehand mentioned transformation between the Inertial Reference Frame and the Body Fixed Reference Frame is considered for this contribution more an issue of the operational point of view (software development) since the underlying theoretical aspects are well known, eg. McCarthy (1996). The resulting transformation matrix R(t) contains the parameters of nutation, precession, polar motion and Greenwich siderial time. Corrections for the nutation model and the parameters for polar motion and Greenwich siderial time are delivered by the Bulletins of the International Earth Rotation Service (IERS). Representation of the Earth's gravitational field -the spherical harmonics series expansionFor the description of the gravitational field of the Earth we use a spherical harmonics series expansion. Equation (1) defines this series expansion of the gravitational potential U...

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“…A representative example of one of the best currently available geopotential models, based purely on satellite orbit analysis (no altimetry, no terrestrial surface gravity), is the GRIM-4S gravity field model (Schwintzer et al, 1997). GRIM-5S which has recently become available is much better than GRIM-4S (Biancale et al, 2000). It is complete to degree = 72 and order m = 72 (at the higher degrees and order up to 99 only selected, resonant, terms have been included).…”

Section: Available Gravity Data For Global Gravity Fields Modelmentioning

confidence: 99%

The European Gravity Field and Steady-State Ocean Circulation Explorer Satellite Mission: Its Impact on Geophysics

Johannessen

Balmino

Provost

et al. 2003

Surveys in Geophysics

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Abstract. Current knowledge of the Earth's gravity field and its geoid, as derived from various observing techniques and sources, is incomplete. Within a reasonable time, substantial improvement will come by exploiting new approaches based on spaceborne gravity observation. Among these, the European Space Agency (ESA) Gravity field and steady-state Ocean Circulation Explorer (GOCE) satellite mission concept has been conceived and designed taking into account multi-disciplinary research objectives in solid Earth physics, oceanography and geodesy. Based on the unique capability of a gravity gradiometer combined with satellite-to-satellite high-low tracking techniques, an accurate and detailed global model of the Earth's gravity field and its corresponding geoid will be recovered. The importance of this is demonstrated by a series of realistic simulation experiments. In particular, the quantitative impact of the new and accurate gravity field and geoid is examined in studies of tectonic composition and motion, Glaciological Isostatic Adjustment, ocean mesoscale variability, water mass transport, and unification of height systems. Improved knowledge in each of these fields will also ensure the accumulation of new understanding of past and present sea-level changes.

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A new global Earth's gravity field model from satellite orbit perturbations: GRIM5‐S1

Cited by 91 publications

References 5 publications

First GOCE gravity field models derived by three different approaches

First GOCE gravity field models derived by three different approaches

Space Gravity Spectroscopy - determination of the Earth’s gravitational field by means of Newton interpolated LEO ephemeris Case studies on dynamic (CHAMP Rapid Science Orbit) and kinematic orbits

The European Gravity Field and Steady-State Ocean Circulation Explorer Satellite Mission: Its Impact on Geophysics

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