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Construction of spherical harmonic series for the potential derivatives of arbitrary orders in the geocentric Earth-fixed reference frame / M. Petrovskaya in Journal of geodesy, vol 84 n° 3 (March 2010)
[article]
Titre : Construction of spherical harmonic series for the potential derivatives of arbitrary orders in the geocentric Earth-fixed reference frame Type de document : Article/Communication Auteurs : M. Petrovskaya, Auteur ; A. Vershkov, Auteur Année de publication : 2010 Article en page(s) : pp 165 - 178 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique
[Termes IGN] champ de pesanteur local
[Termes IGN] coordonnées cartésiennes géocentriques
[Termes IGN] déviation de la verticale
[Termes IGN] Earth Gravity Model 2008
[Termes IGN] harmonique sphérique
[Termes IGN] repère de référence
[Termes IGN] trièdre local
[Termes IGN] varianceRésumé : (Auteur) The derivatives of the Earth gravitational potential are considered in the global Cartesian Earth-fixed reference frame. Spherical harmonic series are constructed for the potential derivatives of the first and second orders on the basis of a general expression of Cunningham (Celest Mech 2:207–216, 1970) for arbitrary order derivatives of a spherical harmonic. A common structure of the series for the potential and its first- and second-order derivatives allows to develop a general procedure for constructing similar series for the potential derivatives of arbitrary orders. The coefficients of the derivatives are defined by means of recurrence relations in which a coefficient of a certain order derivative is a linear function of two coefficients of a preceding order derivative. The coefficients of the second-order derivatives are also presented as explicit functions of three coefficients of the potential. On the basis of the geopotential model EGM2008, the spherical harmonic coefficients are calculated for the first-, second-, and some third-order derivatives of the disturbing potential T, representing the full potential V, after eliminating from it the zero- and first-degree harmonics. The coefficients of two lowest degrees in the series for the derivatives of T are presented. The corresponding degree variances are estimated. The obtained results can be applied for solving various problems of satellite geodesy and celestial mechanics. Copyright Springer Numéro de notice : A2010-155 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-009-0353-y Date de publication en ligne : 10/11/2009 En ligne : https://doi.org/10.1007/s00190-009-0353-y Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=30350
in Journal of geodesy > vol 84 n° 3 (March 2010) . - pp 165 - 178[article]Réservation
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Code-barres Cote Support Localisation Section Disponibilité 266-2010031 SL Revue Centre de documentation Revues en salle Disponible 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]Réservation
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Code-barres Cote Support Localisation Section Disponibilité 266-2010031 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 Wavelet modeling of the gravity field over Japan / Isabelle Panet in Bulletin of the Geographical survey institute, vol 57 (December 2009)
[article]
Titre : Wavelet modeling of the gravity field over Japan Type de document : Article/Communication Auteurs : Isabelle Panet , Auteur ; Yuki Kuroishi, Auteur ; Matthias Holschneider, Auteur Année de publication : 2009 Article en page(s) : pp 19 - 33 Note générale : Bibliographie
2e partie article : https://www.gsi.go.jp/common/000054750.pdfLangues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique
[Termes IGN] bruit blanc
[Termes IGN] champ de pesanteur local
[Termes IGN] géoïde local
[Termes IGN] harmonique sphérique
[Termes IGN] Japon
[Termes IGN] levé gravimétrique
[Termes IGN] modèle de géopotentiel local
[Termes IGN] ondelette sphérique
[Termes IGN] transformation en ondelettesRésumé : (Auteur) Knowing the geoïd over Japan is essential for many geodetical and geophysical applications. Because of the tectonic settings of the area, significant geoid undulations occur in a wide range of spatial scales and make the determination of the geoïd a complex task. In some applications, high absolute accuracy at long and medium wavelengths is required for geoïd models with high resolution, which can be achieved by a proper combination of satellite gravity information with densely-distributed surface gravity data after careful consideration of their respective error characteristics. Here we show how to realize such a combination in a flexible way using spherical wavelets. The gravity potential is expressed as a linear combination of wavelets, whose coefficients are obtained by a least squares adjustment of the datasets. The combination needs to handle a large system of equations and we apply a domain decomposition method. First, we define sub-domains as subsets of wavelets. Based on the localization properties of the wavelets in space and frequency, we define hierarchical sub-domains of wavelets at different scales. On each scale, blocks of sub-domains are defined by using a tailored spatial splitting of the area. Second, we approximate the normal matrix for each block by introducing local approximation of the wavelets depending on the scale, in which local averages of the data are actually used for computation. Finally, we solve the system iteratively. In the beginning we validate the method with synthetic data, considering two kinds of noise: white noise and colored noise. We then apply the method to data over Japan: a satellite-based geopotential model, EIGEN-GL04S, and a local gravity model from a combination of land and marine gravity data and an altimetry-derived marine gravity model. A hybrid spherical harmonics/wavelet model of the geoïd is obtained at about 15 km resolution and the residuals indicate the existence of possible biases in the surface model. This information is used to correct the local model and the method is repeated with the corrected data, resulting in an improved hybrid model of the gravity field over Japan. Copyright Geographical Survey Institute Numéro de notice : A2009-558 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article DOI : sans En ligne : https://www.gsi.go.jp/common/000054749.pdf Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=30187
in Bulletin of the Geographical survey institute > vol 57 (December 2009) . - pp 19 - 33[article]Réservation
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Code-barres Cote Support Localisation Section Disponibilité 250-09011 RAB Revue Centre de documentation En réserve L003 Disponible Efficient 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)
[article]
Titre : Efficient propagation of error covariance matrices of gravitational models: application to GRACE and GOCE Type de document : Article/Communication Auteurs : Georges Balmino, Auteur Année de publication : 2009 Article en page(s) : pp 989 - 995 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique
[Termes IGN] données GOCE
[Termes IGN] données GRACE
[Termes IGN] harmonique sphérique
[Termes IGN] matrice de covariance
[Termes IGN] modèle de géopotentiel
[Termes IGN] propagation d'erreurRésumé : (Auteur) We have applied efficient methods for computing variances and covariances of functions of a global gravity field model expanded in spherical harmonics, using the full variance–covariance matrix of the coefficients. Examples are given with recent models derived from GRACE (up to degree and order 150), and with simulated GOCE derived solutions (up to degree and order 200). Copyright Springer Numéro de notice : A2009-432 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-009-0317-2 En ligne : https://doi.org/10.1007/s00190-009-0317-2 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=30063
in Journal of geodesy > vol 83 n° 10 (October 2009) . - pp 989 - 995[article]Réservation
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Code-barres Cote Support Localisation Section Disponibilité 266-09091 SL Revue Centre de documentation Revues en salle Disponible Local multi-polar expansions in potential field modeling / B. Minchev in Earth, Planets and Space, vol 61 n° 10 (October 2009)PermalinkRecursive algorithms for the computation of the potential harmonic coefficients of a constant density polyhedron / Dimitrios Tsoulis in Journal of geodesy, vol 83 n° 10 (October 2009)PermalinkOptima multi-step collocation: application to the space-wise approach for GOCE data analysis / M. Reguzzoni in Journal of geodesy, vol 83 n° 1 (January 2009)PermalinkPermalinkA study reference frame consistency in recent Earth gravitational models / Christopher Kotsakis in Journal of geodesy, vol 83 n° 1 (January 2009)PermalinkEtude des ondelettes multipôles de Poisson / Lâmân Lelégard (2007)PermalinkReprésentation du champ de pesanteur sur des repères d'ondelettes sphériques / Isabelle Panet in Bulletin d'information scientifique et technique de l'IGN, n° 75 (mars 2006)PermalinkWavelet frames:An alternative to spherical harmonic representation of potential fields / Aude Chambodut in Geophysical journal international, vol 163 n° 3 (December 2005)PermalinkWavelet filter analysis of local atmospheric pressure effects on gravity variations / X.G. Hu in Journal of geodesy, vol 79 n° 8 (November 2005)PermalinkRésolution numérique des équations des déformations de la Terre / Paul Rebischung (2005)PermalinkA linear algorithm for computing the spherical harmonic coefficients of the gravitational potential from a constant density polyhedron / Olivier Jamet (2004)PermalinkDéveloppement en harmoniques sphériques de la contribution au potentiel de gravité d'un volume polyédrique représenté par sa surface externe / E. Thomas (2003)PermalinkÉtude de la flexion continentale sous la charge océanique à partir des données RGP / Marie-Noëlle Bouin in Bulletin d'information de l'Institut géographique national, n° 73 (septembre 2002)PermalinkCompte-rendu du séminaire AROPA [Analytical representation of potential field anomalies for Europe], Institut d'Europe, Chateau de Munsbach, luxembourg, 23-27 octobre 2001 / Olivier Jamet (2002)PermalinkSpace gravity spectroscopy - The sensitivity analysis of GPS-tracked satellite missions (case study CHAMP) / C. Schäfer (2001)PermalinkMapping and predicting the Earth's ionosphere using the Global Positioning System / Stefan Schaer (1999)PermalinkOn the Unification of Indonesian Local Height Systems / Khafid (1998)PermalinkFigure de la Terre / F. Chambat (1996)PermalinkTailored numerical solution strategies for the global determination of the Earth's gravity field / W.D. Schuh (1996)PermalinkEstimation of sea dynamic topography, ocean tides, and secular changes from Topex altimeter data / Y.M. Wang (1994)Permalink