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Termes IGN > sciences naturelles > sciences de la Terre et de l'univers > géosciences > géophysique interne > géodésie > géodésie physique > pesanteur terrestre > modèle de géopotentiel
modèle de géopotentielSynonyme(s)modèle de potentiel de pesanteur terrestre modèle de gravité terrestre |
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Prediction of vertical deflections from high-degree spherical harmonic synthesis and residual terrain model data / C. Hirt in Journal of geodesy, vol 84 n° 3 (March 2010)
[article]
Titre : Prediction of vertical deflections from high-degree spherical harmonic synthesis and residual terrain model data Type de document : Article/Communication Auteurs : C. Hirt, Auteur Année de publication : 2010 Article en page(s) : pp 179 - 190 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique
[Termes IGN] Allemagne
[Termes IGN] Alpes centrales
[Termes IGN] champ de pesanteur terrestre
[Termes IGN] déviation de la verticale
[Termes IGN] Earth Gravity Model 2008
[Termes IGN] harmonique sphérique
[Termes IGN] MNS SRTM
[Termes IGN] modèle de géopotentiel
[Termes IGN] modèle de géopotentiel local
[Termes IGN] modèle numérique de terrain
[Termes IGN] Suisse
[Termes IGN] valeur efficaceRésumé : (Auteur) This study demonstrates that in mountainous areas the use of residual terrain model (RTM) data significantly improves the accuracy of vertical deflections obtained from high-degree spherical harmonic synthesis. The new Earth gravitational model EGM2008 is used to compute vertical deflections up to a spherical harmonic degree of 2,160. RTM data can be constructed as difference between high-resolution Shuttle Radar Topography Mission (SRTM) elevation data and the terrain model DTM2006.0 (a spherical harmonic terrain model that complements EGM2008) providing the long-wavelength reference surface. Because these RTM elevations imply most of the gravity field signal beyond spherical harmonic degree of 2,160, they can be used to augment EGM2008 vertical deflection predictions in the very high spherical harmonic degrees. In two mountainous test areas—the German and the Swiss Alps—the combined use of EGM2008 and RTM data was successfully tested at 223 stations with high-precision astrogeodetic vertical deflections from recent zenith camera observations (accuracy of about 0.1 arc seconds) available. The comparison of EGM2008 vertical deflections with the ground-truth astrogeodetic observations shows root mean square (RMS) values (from differences) of 3.5 arc seconds for È and 3.2 arc seconds for È , respectively. Using a combination of EGM2008 and RTM data for the prediction of vertical deflections considerably reduces the RMS values to the level of 0.8 arc seconds for both vertical deflection components, which is a significant improvement of about 75%. Density anomalies of the real topography with respect to the residual model topography are one factor limiting the accuracy of the approach. The proposed technique for vertical deflection predictions is based on three publicly available data sets: (1) EGM2008, (2) DTM2006.0 and (3) SRTM elevation data. This allows replication of the approach for improving the accuracy of EGM2008 vertical deflection predictions in regions with a rough topography or for improved validation of EGM2008 and future high-degree spherical harmonic models by means of independent ground truth data. Numéro de notice : A2010-156 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-009-0354-x Date de publication en ligne : 12/11/2009 En ligne : https://doi.org/10.1007/s00190-009-0354-x Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=30351
in Journal of geodesy > vol 84 n° 3 (March 2010) . - pp 179 - 190[article]Exemplaires(1)
Code-barres Cote Support Localisation Section Disponibilité 266-2010031 SL Revue Centre de documentation Revues en salle Disponible Finite element method for solving geodetic boundary value problems / Z. Faskova in Journal of geodesy, vol 84 n° 2 (February 2010)
[article]
Titre : Finite element method for solving geodetic boundary value problems Type de document : Article/Communication Auteurs : Z. Faskova, Auteur ; Robert Cunderlik, Auteur ; Karol Mikula, Auteur Année de publication : 2010 Article en page(s) : pp 135 - 144 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique
[Termes IGN] champ de pesanteur terrestre
[Termes IGN] Earth Gravity Model 2008
[Termes IGN] géoïde
[Termes IGN] méthode des éléments finis
[Termes IGN] problème de Dirichlet
[Termes IGN] problème des valeurs limitesRésumé : (Auteur) The goal of this paper is to present the finite element scheme for solving the Earth potential problems in 3D domains above the Earth surface. To that goal we formulate the boundary-value problem (BVP) consisting of the Laplace equation outside the Earth accompanied by the Neumann as well as the Dirichlet boundary conditions (BC). The 3D computational domain consists of the bottom boundary in the form of a spherical approximation or real triangulation of the Earth’s surface on which surface gravity disturbances are given. We introduce additional upper (spherical) and side (planar and conical) boundaries where the Dirichlet BC is given. Solution of such elliptic BVP is understood in a weak sense, it always exists and is unique and can be efficiently found by the finite element method (FEM). We briefly present derivation of FEM for such type of problems including main discretization ideas. This method leads to a solution of the sparse symmetric linear systems which give the Earth’s potential solution in every discrete node of the 3D computational domain. In this point our method differs from other numerical approaches, e.g. boundary element method (BEM) where the potential is sought on a hypersurface only. We apply and test FEM in various situations. First, we compare the FEM solution with the known exact solution in case of homogeneous sphere. Then, we solve the geodetic BVP in continental scale using the DNSC08 data. We compare the results with the EGM2008 geopotential model. Finally, we study the precision of our solution by the GPS/levelling test in Slovakia where we use terrestrial gravimetric measurements as input data. All tests show qualitative and quantitative agreement with the given solutions. Copyright Springer Numéro de notice : A2010-108 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-009-0349-7 Date de publication en ligne : 13/10/2009 En ligne : https://doi.org/10.1007/s00190-009-0349-7 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=30304
in Journal of geodesy > vol 84 n° 2 (February 2010) . - pp 135 - 144[article]Exemplaires(1)
Code-barres Cote Support Localisation Section Disponibilité 266-2010021 SL Revue Centre de documentation Revues en salle Disponible Assessment of a numerical method for computing the spherical harmonic coefficients of the gravitational potential of a constant density polyhedron / Olivier Jamet (2010)
contenu dans Gravity, Geoid and Earth Observation, IAG Commission 2 Gravity Field, Chania, Crete, Greece, 23-27 June 2008 / Stelios Mertikas (2010)
Titre : Assessment of a numerical method for computing the spherical harmonic coefficients of the gravitational potential of a constant density polyhedron Type de document : Article/Communication Auteurs : Olivier Jamet , Auteur ; Jérome Verdun , Auteur ; Dimitrios Tsoulis, Auteur ; Nicolas Gonindard, Auteur Editeur : Berlin, Heidelberg, Vienne, New York, ... : Springer Année de publication : 2010 Collection : International Association of Geodesy Symposia, ISSN 0939-9585 num. 135 Conférence : IAG 2008 Commission 2, Gravity, Geoid and Earth Observation GGEO 23/06/2008 27/06/2008 Chania Crète - Grèce Proceedings Springer Importance : pp 437 - 443 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Termes IGN] géodésie physique
[Termes IGN] harmonique sphérique
[Termes IGN] modèle de géopotentiel
[Termes IGN] polyèdreRésumé : (auteur) This study focuses on the assessment of a linear algorithm for computing the spherical harmonic coefficients of the gravitational potential of a constant density polyhedron. The ability to compute such an expansion would favor several applications, in particular in the field of the interpretation and assessment of GOCE gravitational models. The studied algorithm is the only known method that would achieve this computation at a computational cost depending linearly on the number of computed coefficients. We show that although this methods suffers from severe divergence issues, it could be applied to retrieve band-limited estimates of the potential generated by a constant density polyhedron. Numéro de notice : C2008-016 Affiliation des auteurs : LAREG+Ext (1991-2011) Thématique : MATHEMATIQUE/POSITIONNEMENT Nature : Communication nature-HAL : ComAvecCL&ActesPubliésIntl DOI : 10.1007/978-3-642-10634-7_58 Date de publication en ligne : 26/10/2010 En ligne : https://doi.org/10.1007/978-3-642-10634-7_58 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=90744 Global gravity field determination using the GPS measurements made onboard the low Earth orbiting satellite CHAMP / Lars Prange (2010)
Titre : Global gravity field determination using the GPS measurements made onboard the low Earth orbiting satellite CHAMP Type de document : Rapport Auteurs : Lars Prange, Auteur Editeur : Zurich : Schweizerischen Geodatischen Kommission / Commission Géodésique Suisse Année de publication : 2010 Collection : Geodätisch-Geophysikalische Arbeiten in der Schweiz, ISSN 0257-1722 num. 81 Importance : 212 p. Format : 21 x 30 cm ISBN/ISSN/EAN : 978-3-908440-25-3 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique
[Termes IGN] champ de pesanteur terrestre
[Termes IGN] données CHAMP
[Termes IGN] données GPS
[Termes IGN] Global Positioning System
[Termes IGN] gravimétrie spatiale
[Termes IGN] modèle de géopotentiel
[Termes IGN] orbite basse
[Termes IGN] orbitographie
[Termes IGN] positionnement par GPS
[Termes IGN] validation des données
[Termes IGN] variation saisonnièreIndex. décimale : 30.40 Géodésie physique Résumé : (Auteur) The major goal of this work was to to generate "the best possible" static CHAMP-only gravity field model using most of the openly available CHAMP data. Firstly we wanted to assess the full potential but also the limitations of CHAMP data and a CHAMP-like satellite mission for gravity field determination. Secondly we wanted to gain as much insight as possible in determining gravity fields (static and time variable) from space-based GNSS data in general, because several current and future satellite missions (dedicated to gravity field research, but also non-dedicated) equipped with GNSS receivers could benefit from improvements made here. We believe to have come close to achieving these goals by generating, validating, and publishing the static Earth gravity field models AIUB-CHAMPOIS, AIUB-CHAMP02S, and AIUB-CHAMP03S. Furthermore, the largest constituents of the seasonal gravity field variations could be retrieved from CHAMP data, as well. The Celestial Mechanics Approach (CMA) was successfully applied for gravity field determination. Note de contenu : 1 Introduction
2 Measuring the Earth's gravity field
2.1 Terrestrial geodesy
2.2 Satellite geodesy
2.2.1 Optical observations
2.2.2 Microwave methods
2.2.3 Satellite Laser Ranging (SLR)
2.2.4 Satellite altimetry
2.2.5 High-low SST of CHAMP
2.2.6 Low-low SST with GRACE
2.2.7 Satellite gradiometry with GOCE
3 Orbit determination and gravity field recovery
3.1 Least squares adjustment
3.1.1 Basic concept
3.1.2 LSA techniques
3.2 Coordinate systems
3.2.1 Geocentric quasi-inertial system
3.2.2 Earth-fixed coordinate system
3.2.3 Satellite-fixed coordinate system
3.3 Satellite orbits
3.3.1 Dynamic orbits
3.3.2 Reduced-dynamic orbits
3.3.3 Kinematic orbits
3.4 The equation of motion
3.5 Spherical harmonic representation of the gravitational potential
3.6 Orbit and gravity field determination
3.6.1 Numerical integration of the primary equations
3.6.2 Numerical integration of the variational equations
4. Global Positioning System - GPS
4.1 History
4.2 Basic measurement principle
4.3 GPS orbit constellation and satellites
4.4 GPS signals
4.5 Modeling GPS observables
4.5.1 Observation equations
4.5.2 Observation differences
4.5.3 Linear combinations
4.6 The International GNSS Service (IGS)
4.7 Bernese GPS Software (BSW)
5 Data processing
5.1 Generation of the A1UB-CHAMP01S gravity field model
5.1.1 Data Screening
5.1.2 Gravity field recovery
5.1.3 The AIUB-CHAMP01S gravity field model
5.2 Generation of the AIUB-CHAMP02S gravity field model
5.2.1 GNSS model changes
5.2.2 GPS orbit reprocessing
5.2.3 GPS satellite clock reprocessing
5.2.4 CHAMP orbit determination
5.2.5 AIUB-CHAMP02S gravity field recovery
5.2.6 The AIUB-CHAMP02S gravity field model
5.3 Generation of the AIUB-CHAMP03S gravity field model
5.3.1 Estimation of high-rate GPS satellite clock corrections
5.3.2 CHAMP orbit determination
5.3.3 Data screening and gravity field recovery
5.3.4 The AIUB-CHAMP03S gravity field model
6 Studies and experiments
6.1 Studies related to A1UB-C11AMP01S
6.1.1 Orbit modeling with arc-specific parameters
6.1.2 Modeling of non-gravitational perturbations with dynamic force models
6.1.3 Accelerometer data
6.1.4 Simulation study
6.1.5 Observation weights .
6.1.6 Influence of the a priori gravity field model
6.1.7 Screening the kinematic positions
6.1.8 Quality variations in monthly gravity field solutions
6.1.9 Summary and discussion of the IUB-CHAMPOlS-related studies
6.2 Experiments related to AIUB-CI1AMP02S
6.2.1 The impact of GNSS model changes
6.2.2 Inconsistency in the low degree harmonics
6.2.3 Simulation study
6.2.4 Latitude dependency of the observation scenario
6.2.5 Summary and conclusion of the AIUB-CHAMP02S-related studies
6.3 Experiments related to AIUB-CHAMP03S ..
6.3.1 Influence of empirical PCV-models on gravity field recovery using CHAMP GPS data ..
6.3.2 Elevation-dependent weighting
6.3.3 Observation sampling
6.3.4 Inter-epoch correlations of kinematic positions
6.3.5 Position differences vs. positions
6.3.6 Impact of observations of eclipsing GPS satellites on CHAMP gravity field recovery ...
6.3.7 Temporal variations of the Earth's gravity field
6.3.8 Recovery of the low degree harmonics
6.3.9 Summary of the experiments related to AIUB-CHAMP03S
7 Gravity field validation
7.1 Validation methods
7.1.1 Formal errors
7.1.2 Comparison with other gravity field models
7.1.3 Comparison with ground data
7.1.4 Altimetry data
7.1.5 Orbit determination
7.2 Validation of AIUB-CHAMP01S
7.2.1 Internal validation .
7.2.2 External validation
7.3 Validation of AIUB-CHAMP02S
7.3.1 Internal validation
7.3.2 External validation
7.4 Validation of AIUB-CHAMP03S
7.4.1 Internal validation
7.4.2 External validation
8 Summary and conclusionsNuméro de notice : 10370 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Rapport de recherche En ligne : https://www.sgc.ethz.ch/sgc-volumes/sgk-81.pdf Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=62409 Exemplaires(1)
Code-barres Cote Support Localisation Section Disponibilité 10370-01 30.40 Livre Centre de documentation Géodésie Disponible Nuevo ajuste de la Red Geodésica de Espana (ROI) en altitudes ortométricas / José Antonio Sanchez Sobrino in Topografia y cartografia, vol 27 n° 156 (01/01/2010)
[article]
Titre : Nuevo ajuste de la Red Geodésica de Espana (ROI) en altitudes ortométricas Type de document : Article/Communication Auteurs : José Antonio Sanchez Sobrino, Auteur ; Miguel Ángel Cano Villaverde, Auteur ; R. Quiros Donate, Auteur ; L. Revuela Villeras, Auteur Année de publication : 2010 Article en page(s) : pp 4 - 12 Langues : Espagnol (spa) Descripteur : [Vedettes matières IGN] Systèmes de référence et réseaux
[Termes IGN] altitude orthométrique
[Termes IGN] Earth Gravity Model 2008
[Termes IGN] Espagne
[Termes IGN] European Terrestrial Reference System 1989
[Termes IGN] réseau géodésique localRésumé : (Auteur) A principios de 2008 el IGN publicó las coordenadas de toda la Red Geodésica de España (ROÍ) en el sistema ETRS89, procedente de un ajuste de toda la red con observables clásicos y GPS constreñidos a la red REGENTE. Se publicaron coordenadas en este nuevo sistema junto con los parámetros de fiabilidad (desviación estándar del ajuste) para cada vértice. Sin embargo, la altitud ortométrica quedó pendiente de un nuevo ajuste con el objeto de armonizarla con REDNAP, el marco de referencia vertical para España. Con la ayuda de la ondulación del geoide dada por el nuevo modelo EGM08-REDNAP, se ha realizado un ajuste en altitudes ortométricas, con constreñimiento a REGENTE, obteniendo-un juego de altitudes ortométricas para toda la ROÍ que mejora la precisión de las existentes. Numéro de notice : A2010-256 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article DOI : sans Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=30450
in Topografia y cartografia > vol 27 n° 156 (01/01/2010) . - pp 4 - 12[article]Exemplaires(1)
Code-barres Cote Support Localisation Section Disponibilité 237-2010011 RAB Revue Centre de documentation En réserve L003 Disponible El nuevo modelo de Geoide para España EGM08-REDNAP / José Antonio Sanchez Sobrino in Topografia y cartografia, vol 26 n° 155 (01/12/2009)PermalinkWavelet modeling of the gravity field over Japan / Isabelle Panet in Bulletin of the Geographical survey institute, vol 57 (December 2009)PermalinkEfficient propagation of error covariance matrices of gravitational models: application to GRACE and GOCE / Georges Balmino in Journal of geodesy, vol 83 n° 10 (October 2009)PermalinkDétermination du géoïde gravimétrique au nord de l'Algérie : méthodes de Stokes-Helmert / N. Zekkour in Bulletin des sciences géographiques, n° 24 (Septembre 2009)PermalinkTriangulated spherical splines for geopotential reconstruction / M.J. Lai in Journal of geodesy, vol 83 n° 8 (August 2009)PermalinkGravity gradient modeling using gravity and DEM / L. Zhu in Journal of geodesy, vol 83 n° 6 (June 2009)PermalinkPermalinkPermalinkA study reference frame consistency in recent Earth gravitational models / Christopher Kotsakis in Journal of geodesy, vol 83 n° 1 (January 2009)PermalinkAirborne LaCoste & Romberg gravimetry: a space domain approach / M. Abbasi in Journal of geodesy, vol 81 n° 4 (April 2007)Permalink