Harmonic analysis of the Earth's gravitational field by means of semi-continuous ephemerides of a low Earth orbiting GPS-tracked satellite. Case study: CHAMP

Reubelt, T.; Austen, G.; Grafarend, Erik W.

doi:10.1007/s00190-003-0322-9

Cited by 56 publications

(39 citation statements)

References 13 publications

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“…There are two subcategories of the acceleration approach: the point-wise (Austen et al 2002;Reubelt et al 2003;Chen et al 2008) and averaged (Ditmar and Sluijs 2004;Liu 2008;Bezděk et al 2014b). The pointwise acceleration approach differentiates interpolating functions fitted to the observations instead of the observations themselves, while the averaged acceleration approach differentiates the observations directly.…”

Section: Gravity Field Estimation Methodologymentioning

confidence: 99%

Gravity field models derived from Swarm GPS data

et al. 2016

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It is of great interest to numerous geophysical studies that the time series of global gravity field models derived from Gravity Recovery and Climate Experiment (GRACE) data remains uninterrupted after the end of this mission. With this in mind, some institutes have been spending efforts to estimate gravity field models from alternative sources of gravimetric data. This study focuses on the gravity field solutions estimated from Swarm global positioning system (GPS) data, produced by the Astronomical Institute of the University of Bern, the Astronomical Institute (ASU, Czech Academy of Sciences) and Institute of Geodesy (IfG, Graz University of Technology). The three sets of solutions are based on different approaches, namely the celestial mechanics approach, the acceleration approach and the shortarc approach, respectively. We derive the maximum spatial resolution of the time-varying gravity signal in the Swarm gravity field models to be degree 12, in comparison with the more accurate models obtained from K-band ranging data of GRACE. We demonstrate that the combination of the GPS-driven models produced with the three different approaches improves the accuracy in all analysed monthly solutions, with respect to any of them. In other words, the combined gravity field model consistently benefits from the individual strengths of each separate solution. The improved accuracy of the combined model is expected to bring benefits to the geophysical studies during the period when no dedicated gravimetric mission is operational.

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Section: Gravity Field Estimation Methodologymentioning

confidence: 99%

Gravity field models derived from Swarm GPS data

et al. 2016

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“…This method could be used for evaluating numerical value of derivative of a given function by deriving of approximated polynomial. The n-point Newton interpolation formula, for equidistant sampling points is [2]:…”

Section: Numerical Differentiationmentioning

confidence: 99%

“…The numerical differentiation approach used in this paper is 9-point 104 Newton method. This method is a common approach in satellite geodesy for calculating velocity and acceleration of satellite [2,3]. Numerical differentiation is based on the geometrical information without using any physical information.…”

Section: Introductionmentioning

confidence: 99%

A Comparison Between Numerical Differentiation and Kalman Filtering for a Leo Satellite Velocity Determination

Sharifi¹,

Seif²,

Hadi³

2013

Artificial Satellites

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The kinematic orbit is a time series of position vectors generally obtained from GPS observations. Velocity vector is required for satellite gravimetry application. It cannot directly be observed and should be numerically determined from position vectors. Numerical differentiation is usually employed for a satellite's velocity, and acceleration determination. However, noise amplification is the single obstacle to the numerical differentiation. As an alternative, velocity vector is considered as a part of the state vector and is determined using the Kalman filter method. In this study, velocity vector is computed using the numerical differentiation (e.g., 9-point Newton interpolation scheme) and Kalman filtering for the GRACE twin satellites. The numerical results show that Kalman filtering yields more accurate results than numerical differentiation when they are compared with the intersatellite range-rate measurements.

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“…The satellite-borne gravimetric data of long period of distance are useful for geoid surface determination (e.g. Douglas & Goad, 1978;Reigber et al, 2002;Reubelt et al, 2003).…”

Section: Introductionmentioning

confidence: 99%

Satellite-Derived Gravimetry for Abrolhos Continental Shelf, States of Espírito Santo and Bahia, Brazil, and Its Relation to Tectonic Genesis of Sedimentary Basins

Motoki¹,

Novais²,

Motoki³

et al. 2014

Rev. Bras. Geof.

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ABSTRACT. This paper presents the results of satellite-derived gravimetry for Abrolhos Continental Shelf and the adjacent areas, States of Espírito Santo and Bahia, Brazil, and discusses tectonic genesis of the sedimentary basins. The free-air and Bouguer anomalies on the continental shelf show a gradual increase from coast to continental shelf break. The total difference of 135 mGal indicates crust thinning of 4.5 km. The Bouguer anomaly increases beyond the shelf break and continues up to the abyssal plane. The total difference of 260 mGal suggests crustal thinning of 9.0 km. The studied area has two types of passive continental margin: 1) ES-type with high continental slope, low and narrow continental rise, and high free-air and Bouguer anomalies; 2) SP-type with low continental slope, high and wide continental rise, and low gravity anomalies. There are three types of sedimentary basins with different geologic structure and tectonic genesis: 1) Basins on the continental shelf, CSH-type; 2) Basin on the continental rise, CRS-type; 3) Continental rift basin, CRF-type. The CSH-type, as Espírito Santo basin, has coherent free-air and Bouguer anomalies 40 to 50 mGal lower than the adjacent areas. The sedimentary deposits are 2.0 to 2.5 km thick. The basement depression is sustained by mechanical strength without isostatic compensation. The normal faults of basin border are limited within upper crust. The CRS-type, as Pedro Canário basin, has low local residual Bouguer anomaly with difference of 40 mGal. The sedimentary deposits are more than 2.7 km thick. The continental side basin border is under isostatic compensation due to deep normal fault between continental slope and continental rise. The oceanic side border is sustained by mechanical strength of the basement. The CRF-type, Besnard Passage, is a continental rift basin originated from mantle pull-apart tectonism. The rift bottom is under complete isostatic compensation. The normal faults of the graben border continue to the mantle. The Moho depth along the rift is at least 6.5 km shallower than the adjacent areas.Keywords: satellite-derived gravimetry, Abrolhos Continental Shelf, sedimentary basin, crustal thinning, isostatic compensation. RESUMO.Este artigo apresenta os resultados da gravimetria por satélite para a Plataforma Continental de Abrolhos e asáreas adjacentes, ES-BA, e discute as gêneses tectônicas das bacias sedimentares. As anomalias ar-livre e Bouguer na plataforma continental mostram um aumento gradativo a partir da costa até a quebra da plataforma continental. A diferença total de 135 mGal indica afinamento da crosta continental de 4,5 km. A anomalia Bouguer se apresenta além da quebra da plataforma e continua até o assoalho abissal. A diferença total de 260 mGal sugere afinamento crustal de 9,0 km. Naárea estudada, observam-se dois tipos de margem continental passiva: 1) Tipo ES com talude continental alto, elevação continental baixa e curta e anomalias ar-livre e Bouguer altos; 2) Tipo SP com talude continental baixo, elevação continental ...

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Harmonic analysis of the Earth's gravitational field by means of semi-continuous ephemerides of a low Earth orbiting GPS-tracked satellite. Case study: CHAMP

Cited by 56 publications

References 13 publications

Gravity field models derived from Swarm GPS data

Gravity field models derived from Swarm GPS data

A Comparison Between Numerical Differentiation and Kalman Filtering for a Leo Satellite Velocity Determination

Satellite-Derived Gravimetry for Abrolhos Continental Shelf, States of Espírito Santo and Bahia, Brazil, and Its Relation to Tectonic Genesis of Sedimentary Basins

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