Functional and Stochastic Modelling of Satellite Gravity Data PDF Download
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Author: Jasper van Loon
Publisher:
ISBN:
Category : Gravitational fields
Languages : en
Pages : 252
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Book Description
Contents 1. Introduction 1 2. Estimation of the Earth's gravity field 9 3. Augmentation of the functional model 35 4. Stochastic model validation 49 5. Monte Carlo implementation 83 6. Outlier detection and robust estimation 97 7. Application 1: CHAMP satellite gravity data 115 8. Application 2: Joint inversion of global GPS time-series with GRACE gravity models 141 9. Application 3: Temporal aliasing of hydrological signals in a simulated GRACE recovery 165 10. Application 4: The computation of a height reference surface in Switzerland 177 11. Conclusions and recommendations 191 References 197 A. Series expansion into spherical harmonics 217 B. Matrix algebra and matrix analysis 219 C. Some standard distributions 221 Summary 223 Samenvatting 227 Curriculum Vitae 231
Author: Jasper van Loon
Publisher:
ISBN:
Category : Gravitational fields
Languages : en
Pages : 252
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Book Description
Contents 1. Introduction 1 2. Estimation of the Earth's gravity field 9 3. Augmentation of the functional model 35 4. Stochastic model validation 49 5. Monte Carlo implementation 83 6. Outlier detection and robust estimation 97 7. Application 1: CHAMP satellite gravity data 115 8. Application 2: Joint inversion of global GPS time-series with GRACE gravity models 141 9. Application 3: Temporal aliasing of hydrological signals in a simulated GRACE recovery 165 10. Application 4: The computation of a height reference surface in Switzerland 177 11. Conclusions and recommendations 191 References 197 A. Series expansion into spherical harmonics 217 B. Matrix algebra and matrix analysis 219 C. Some standard distributions 221 Summary 223 Samenvatting 227 Curriculum Vitae 231
Author: Majid Naeimi
Publisher: Springer
ISBN: 3319499416
Category : Science
Languages : en
Pages : 181
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Book Description
This book provides a sound theoretical basis for the the different gravity field recovery methods and the numerics of satellite-to-satellite tracking data. It represents lectures given at the ‘Wilhelm and Else Heraeus Autumn School’ in Bad Honnef, Germany, October 4-9, 2015. The emphasis of the school was on providing a sound theoretical basis for the different gravity field recovery methods and the numerics of data analysis. The approaches covered here are the variational equations (classical approach), the acceleration approach and the energy balance approach, all of which are used for global gravity field recovery on the basis of satellite observations. The theory of parameter estimation in satellite gravimetry and concepts for orbit determination are also included. The book guides readers through a broad range of topics in satellite gravimetry, supplemented by the necessary theoretical background and numerical examples. While it provides a comprehensive overview for those readers who are already familiar with satellite gravity data processing, it also offers an essential reference guide for graduate and undergraduate students interested in this field.
Author: Peiliang Xu
Publisher: Springer Science & Business Media
ISBN: 354074584X
Category : Science
Languages : en
Pages : 375
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Book Description
This volume of proceedings is a collection of refereed papers resulting from the VI Hotine-Marussi Symposium on Theoretical and Computational Geodesy. The papers cover almost every topic of geodesy, including satellite gravity modeling, geodynamics, GPS data processing, statistical estimation and prediction theory, and geodetic inverse problem theory. In addition, particular attention is paid to topics of fundamental importance in the next one or two decades in Earth Science.
Author: Paul Tregoning
Publisher: Springer Science & Business Media
ISBN: 3540493506
Category : Science
Languages : en
Pages : 922
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Book Description
IAG Symposium, Cairns, Australia, 22-26 August, 2005
Author: STANFORD UNIV CALIF DEPT OF STATISTICS.
Publisher:
ISBN:
Category :
Languages : en
Pages : 11
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Book Description
The covariance function of the Newtonian potential of a random orthogonal set function of the unit sphere in three dimensions is derived, and it is shown that the coefficients to the series expansion of this are simply related to the moments of the covariance measure of the random set function. Furthermore, as an applicaton, it is shown that available gravity data indicates a mass distribution inside the Earth which becomes more and more irregular as one approaches the center of the Earth. (Author).
Author: Jiro Segawa
Publisher: Springer Science & Business Media
ISBN: 3662034824
Category : Science
Languages : en
Pages : 856
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Book Description
Based on an international symposium held in Tokyo, the volume combines papers in the fields of gravity, geoid and marine geodesy. Special emphasis is placed on the use of gravity in modeling tectonic processes and the problems of geophysical inversion. In addition, absolute and relative gravity measurement in static and airborne mode, satellite altimetry, geopotential modeling, and global geodynamics are dealt with. The field of marine geodesy includes contributions on sea level change, seafloor deformation and mapping, sea surface positioning, electronic charting, and datum transformations.
Author: Fernando Sansò
Publisher: Springer Nature
ISBN: 3030743535
Category : Mathematics
Languages : en
Pages : 542
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Book Description
This textbook presents a comprehensive treatment of the theory and implementation of inverse methods in the analysis and interpretation of Earth’s gravity field. By restricting their consideration to a local rather than global level, the authors focus on the use of observations and data that are more sensitive to local mass anomalies. All necessary theoretical aspects are reformulated in terms of a Euclidean framework so that less complex tools from mathematical analysis can be utilized. Divided into three parts, the text begins with a review of basic mathematical properties of gravitation, computing gravity from mass distributions, and relevant methods from Fourier analysis. In the second part of the text, the Earth’s gravity field and its properties are introduced, and the preprocessing and processing of gravity data are explored. Finally, elementary inverse theory is discussed, after which the general inversion problem is considered via application of both the Tikhonov deterministic approach and a stochastic MCMC model. Throughout, examples and exercises are provided to both clarify material and to illustrate real-word applications for readers. Analysis of the Gravity Field: Direct and Inverse Problems is carefully written to be accessible to both mathematicians and geophysicists without sacrificing mathematical rigor. Readers should have a familiarity with the basics of mathematical analysis, as well as some knowledge of statistics and probability theory. Detailed proofs of more advanced results are relegated to appendices so that readers can concentrate on solution algorithms.
Author: Fernando Sansò
Publisher: Springer Science & Business Media
ISBN: 366210735X
Category : Science
Languages : en
Pages : 356
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Book Description
Just as in the era of great achievements by scientists such as Newton and Gauss, the mathematical theory of geodesy is continuing the tradition of producing exciting theoretical results, but today the advances are due to the great technological push in the era of satellites for earth observations and large computers for calculations. Every four years a symposium on methodological matters documents this ongoing development in many related underlying areas such as estimation theory, stochastic modelling, inverse problems, and satellite-positioning global-reference systems. This book presents developments in geodesy and related sciences, including applied mathematics, among which are many new results of high intellectual value to help readers stay on top of the latest happenings in the field.
Author: Earl F. Burkholder
Publisher: CRC Press
ISBN: 1498722172
Category : Computers
Languages : en
Pages : 492
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Book Description
Traditional methods for handling spatial data are encumbered by the assumption of separate origins for horizontal and vertical measurements, but modern measurement systems operate in a 3-D spatial environment. The 3-D Global Spatial Data Model: Principles and Applications, Second Edition maintains a new model for handling digital spatial data, the global spatial data model or GSDM. The GSDM preserves the integrity of three-dimensional spatial data while also providing additional benefits such as simpler equations, worldwide standardization, and the ability to track spatial data accuracy with greater specificity and convenience. This second edition expands to new topics that satisfy a growing need in the GIS, professional surveyor, machine control, and Big Data communities while continuing to embrace the earth center fixed coordinate system as the fundamental point of origin of one, two, and three-dimensional data sets. Ideal for both beginner and advanced levels, this book also provides guidance and insight on how to link to the data collected and stored in legacy systems.
Author: John L. Junkins
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 214
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Book Description
As alternatives to lengthy globally valid series representations of the geopotential, piecewise modeling for the gravity field is investigated. A degree 23 spherical harmonic representation is replaced by 1500 local gravity functions within the spherical shell from 1 to 1.2 earth radii. Worst case acceleration errors enter in the 7th significant digit, computational speed is improved by an order of magnitude. (Author).
