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Atmosphärische und ozeanische Einflüsse auf die Rotation der Erde - Nummerische Untersuchungen mit einem dynamischen Erdsystemmodell / Florian Seitz (2004)

Public Titre : Atmosphärische und ozeanische Einflüsse auf die Rotation der Erde - Nummerische Untersuchungen mit einem dynamischen Erdsystemmodell Titre original : [Influences atmosphérique et océanographique sur la rotation de la Terre : études numériques avec un modèle dynamique systémique de la Terre] Type de document : Thèse/HDR Auteurs : Florian Seitz, Auteur Editeur : Munich : Bayerische Akademie der Wissenschaften Année de publication : 2004 Collection : DGK - C Sous-collection : Dissertationen num. 578 Importance : 94 p. Format : 21 x 30 cm ISBN/ISSN/EAN : 978-3-7696-5017-4 Note générale : Bibliographie Langues : Allemand (ger) Descripteur : [Vedettes matières IGN] Géodésie physique [Termes IGN] atmosphère terrestre [Termes IGN] circulation atmosphérique [Termes IGN] circulation océanique [Termes IGN] marée terrestre [Termes IGN] modèle dynamique [Termes IGN] moment cinétique atmosphérique [Termes IGN] mouvement du pôle [Termes IGN] océan [Termes IGN] ondelette [Termes IGN] rotation de la Terre [Termes IGN] terme de Chandler [Termes IGN] théorème de Liouville Index. décimale : 30.40 Géodésie physique Résumé : (Auteur) Variations of Earth rotation are caused by a multitude of gravitational and geophysical processes in the Earth system. The largest effects are due to tidal deformations of the solid Earth and mass redistributions within the atmosphere and the oceans. In order to study the Earth's reaction on gravitational and geophysical excitations, the dynamic Earth system model DyMEG has been developed. It is based on the balance of angular momentum in the Earth system, which is described by the non-linear Liouville equation. The model is forced by consistent time series of variations of the Earth's tensor of inertia and relative angular momenta which are deduced from atmospheric and oceanic circulation models. In contrast to former investigations, the characteristics of the Earth's free polar motion (Chandler wobble) are not explicitly predetermined with respect to period and damping but reproduced by the model from geometrical and rheological parameters. Therefore the traditional analytical solution is not applicable, and the Liouville equation is solved numerically as an initial value problem. A sensitivity analysis of DyMEG reveals that the solution based on a Runge-Kutta method is reliable from an algorithmic point of view. However, the system is sensitive to the initial conditions of the integration and the rheological model parameters (Love numbers). Forced variations of Earth rotation due to atmospheric and oceanic excitations yield an effect on the free polar motion as rotational deformations of the solid Earth are regarded in DyMEG. Wavelet analyses of the resulting time series for polar motion show that the Chandler wobble from DyMEG is excited by the atmospheric and oceanic mass redistributions over more than two decades. The noise of the excitation series is found to contain sufficient energy to counteract the damping of the Chandler amplitude which is caused by friction. It is assumed that the noise is due to stochastic processes within the atmosphere (weather). The numerical results for polar motion and length-of-day variations from DyMEG are significantly related with geodetic observations. Depending on the quality of the excitations, the correlation coefficients between the model time series and observations amount to 0,99. In addition to the rotational variations, time series of the second degree spherical harmonic coefficients of the Earth's gravity field, which are directly linked to the tensor of inertia, are computed. The mean values of the respective coefficients are in good agreement with recent gravity models. However the validation of their temporal variations is limited as suitable observation time series are not yet available. Numéro de notice : 13278 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Thèse étrangère Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=54957

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Der Einfluss von Sekundäreffekten auf die Rotation der Erde / Robert Dill (2002)

Public Titre : Der Einfluss von Sekundäreffekten auf die Rotation der Erde Titre original : [L'influence des effets secondaires sur la rotation de la Terre] Type de document : Thèse/HDR Auteurs : Robert Dill, Auteur Editeur : Munich : Bayerische Akademie der Wissenschaften Année de publication : 2002 Collection : DGK - C Sous-collection : Dissertationen num. 550 Importance : 100 p. Format : 21 x 30 cm ISBN/ISSN/EAN : 978-3-7696-9589-2 Note générale : Bibliographie Langues : Allemand (ger) Descripteur : [Vedettes matières IGN] Géodésie physique [Termes IGN] International Earth Rotation Service [Termes IGN] modèle de déformation tectonique [Termes IGN] rotation de la Terre [Termes IGN] théorème de Liouville Index. décimale : 30.40 Géodésie physique Résumé : (Auteur) Exogenous and endogenous forces lead to mass redistributions of the Earth, what causes variations of Earth rotation. With respect to the terrestrial reference frame, the changes of the direction of the rotational axis can be viewed as polar motion, the changes of the rotational speed can be observed as variation of the length of day. Today, such changes can be measured very accurately by space geodetic techniques. Therefore, more exact models of the Earth rotation are needed, if we want to compare the modelled variations of Earth rotation with the observed ones. The effects of mass redistributions in the atmosphere and ocean are often investigated whereas this study focusses on the smaller, socalled secondary effects. The influence of groundwater storage or surface load deformations are counted among. In order to estimate these secondary effect the linearization of the Liouville equations was tested regarding the small mass redistributions and an adequate gyroscopic model for the simulation of polar motion and changes in length of day was developed. By this model the influence of mass redistribution and of mass movement itself on the tensor of inertia and on the rotational vector of the Earth could be studied. This is called the direct effect. Additionally, the deformation due to mass loads also causes small changes of the tensor of inertia. Thus, mass redistribution can have an indirect influence on Earth rotation by loading the Earth's surface. At first it is necessary to calculate the surface deformation due to the mass load itself using Greens functions. In a second step a three-dimensional deformation model was developed to extrapolate from the surface deformation into the Earth's crust and mantle. Assuming a plate flexure of the lithosphere, which displaces the more viscous asthenosphere under it, the changes in the tensor of inertia could be derived. With these models for the direct and the indirect effect the influence of various secondary effects on Earth rotation could be simulated. The biggest influence is supposed to be due to large hydrological masses. Therefore the influences of groundwater storage, snow coverage, the drying up of the Lake Aral and the Three Gorges Dam, which is under construction right now, were estimated. Considerations of biological mass distributions such as the growth of plants and the carbon cycle were added. From these calculations the magnitude of each secondary effect was estimated. However, a detailed discussion of each single effect shows for the future, that we need a more accurate description of the mass redristributions. Until now the available hydrological data are very inhomogeneous. The primary effects, i.e. atmospheric and oceanic excitations cannot be modelled precisely enough. Finally, the different primary and secondary effects were combined and compared with the observed Earth rotation parameters. This allows first conclusions about the quality of a special model. In future, new satellite missions will provide much more accurate data of mass redistributions. Then the whole hydrological cycle will become more and more important to close the gap between observed and modelled variations of Earth rotation. The establishment of the new Global Geophysical Fluids Centre (GGFC) within the International Earth Rotation Service (IERS) in 1999 demonstrates the necessity to provide a consistent data base and to collect all data about fluid masses in system Earth. Within the last two years seven special bureaus for atmosphere, ocean, tides, hydrology, Earth mantle, Earth core and gravity/geocenter were formed. Henceforth, much more detailed predications of the influence of secondary effects on Earth rotation will be possible in the future. This thesis should serve as an initial project in this context. Along with a better knowledge of the direct effects the indirect effects will gain importance. The results of the indirect influence of snow and ocean loading show some essential differences between the traditional calculation by means of load Love numbers and the calculation of the deformation using Greens functions the approach developed in this work. The comparison of both methods indicates that the simple correction with the load Love number is insufficient in most cases. The new approach used in this thesis seams to be more appropriate. Numéro de notice : 13119 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Thèse étrangère Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=54887

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Theory of orbits, 1. Volume 1 Integrable systems and non-perturbative methods / D. Boccaletti (1996)

Public Titre de série : Theory of orbits, 1 Titre : Volume 1 Integrable systems and non-perturbative methods Type de document : Monographie Auteurs : D. Boccaletti, Auteur ; G. Pucacco, Auteur Editeur : Berlin, Heidelberg, Vienne, New York, ... : Springer Année de publication : 1996 Collection : Astronomy and astrophysics Library Importance : 392 p. Format : 16 x 24 cm ISBN/ISSN/EAN : 978-3-540-58963-1 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Astronomie fondamentale [Termes IGN] chaos [Termes IGN] équation de Lagrange [Termes IGN] géométrie [Termes IGN] géométrie de Riemann [Termes IGN] mécanique céleste [Termes IGN] mécanique de Hamilton [Termes IGN] mécanique de Lagrange [Termes IGN] orbite [Termes IGN] problème des deux corps [Termes IGN] problème des trois corps [Termes IGN] système dynamique [Termes IGN] théorème de Jacobi [Termes IGN] théorème de Liouville [Termes IGN] trigonométrie sphérique Index. décimale : 31.10 Astronomie fondamentale Numéro de notice : 68012A Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Monographie Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=61839

Voir aussi

• Theory of orbits, 2. Volume 2 Perturbative and geometrical methods / D. Boccaletti (1998)

Bestimmung von Modellparametern der Erde durch Analyse ihrer Drehbewegung / H. Fröhlich (1994)

Public Titre : Bestimmung von Modellparametern der Erde durch Analyse ihrer Drehbewegung Titre original : [Estimation des paramètres de modèle de la Terre au travers de l'analyse de sa rotation] Type de document : Thèse/HDR Auteurs : H. Fröhlich, Auteur Editeur : Munich : Bayerische Akademie der Wissenschaften Année de publication : 1994 Collection : DGK - C Sous-collection : Dissertationen num. 420 Importance : 102 p. Format : 21 x 30 cm Note générale : Bibliographie Langues : Allemand (ger) Descripteur : [Vedettes matières IGN] Géodésie physique [Termes IGN] correction différentielle [Termes IGN] linéarisation [Termes IGN] modèle mathématique [Termes IGN] problème des valeurs limites [Termes IGN] rotation de la Terre [Termes IGN] théorème de Liouville Index. décimale : 30.40 Géodésie physique Résumé : (Auteur) The rotation of the Earth is modeled by means of the linearized EULER-LIOUVlLLE equation. The different components described physically or by indices are combined in a joint model of the excitation function. Pa-rameters are estimated by differential correction. Parts of the excitation function not explicitly considered in the model can be derived from the residuals. The linearized EULER-LIOUVlLLE equation is solved as a bound-ary value problem; the formulas according to the method of infinitely many variables are derived. Results of the estimation of parameters are discussed by using their accuracies and amount and temporal course of the residuals. Numéro de notice : 28067 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Thèse étrangère Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=63414

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Interactions entre les irrégularités de la vitesse de rotation de la Terre et les phénomènes météorologiques et climatiques / Anny Cazenave (1975)

Public Titre : Interactions entre les irrégularités de la vitesse de rotation de la Terre et les phénomènes météorologiques et climatiques Type de document : Thèse/HDR Auteurs : Anny Cazenave, Auteur Editeur : Toulouse : Université de Toulouse 3 Paul Sabatier Année de publication : 1975 Importance : 248 p. Format : 21 x 30 cm Note générale : Thèse de doctorat d'état ès sciences physiques Langues : Français (fre) Descripteur : [Vedettes matières IGN] Géodésie physique [Termes IGN] Antarctique [Termes IGN] atmosphère terrestre [Termes IGN] climat terrestre [Termes IGN] fréquence [Termes IGN] Groenland [Termes IGN] météorologie [Termes IGN] océan [Termes IGN] rotation de la Terre [Termes IGN] saison [Termes IGN] température [Termes IGN] théorème de Liouville [Termes IGN] vitesse Index. décimale : THESE Thèses et HDR Numéro de notice : 57973 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Thèse française Note de thèse : Thèse de doctorat d'état : sciences physiques : Toulouse 3 : 1975 nature-HAL : Thèse DOI : sans Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=45796

The rotation of the Earth / Walter H. Munk (1975)

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Cours d'analyse mathématique / E. Goursat (1933)

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Cours d'analyse / J. Hadamard (1930)

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Leçons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal, Tome 2. Les congruences et les équations linéaires aux dérivées partielles, les lignes tracées sur les surfaces / Gaston Darboux (1915)  

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Traité des fonctions elliptiques et leurs applications / G.H. Halphen (1888)

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Traité des fonctions elliptiques et de leurs applications / G.H. Halphen (1886)

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