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Functional And Stochastic Modelling Of Satellite Gravity Data
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Book Synopsis Functional and Stochastic Modelling of Satellite Gravity Data by : Jasper van Loon
Download or read book Functional and Stochastic Modelling of Satellite Gravity Data written by Jasper van Loon and published by . This book was released on 2008 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Global Gravity Field Modeling from Satellite-to-Satellite Tracking Data by : Majid Naeimi
Download or read book Global Gravity Field Modeling from Satellite-to-Satellite Tracking Data written by Majid Naeimi and published by Springer. This book was released on 2017-02-10 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis VI Hotine-Marussi Symposium on Theoretical and Computational Geodesy by : Peiliang Xu
Download or read book VI Hotine-Marussi Symposium on Theoretical and Computational Geodesy written by Peiliang Xu and published by Springer Science & Business Media. This book was released on 2008-02-27 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dynamic Planet written by Paul Tregoning and published by Springer Science & Business Media. This book was released on 2008-01-15 with total page 922 pages. Available in PDF, EPUB and Kindle. Book excerpt: IAG Symposium, Cairns, Australia, 22-26 August, 2005
Book Synopsis Gravity, Geoid and Marine Geodesy by : Jiro Segawa
Download or read book Gravity, Geoid and Marine Geodesy written by Jiro Segawa and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis V Hotine-Marussi Symposium on Mathematical Geodesy by : Fernando Sansò
Download or read book V Hotine-Marussi Symposium on Mathematical Geodesy written by Fernando Sansò and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The 3-D Global Spatial Data Model by : Earl F. Burkholder
Download or read book The 3-D Global Spatial Data Model written by Earl F. Burkholder and published by CRC Press. This book was released on 2017-07-28 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis System Earth via Geodetic-Geophysical Space Techniques by : Frank M. Flechtner
Download or read book System Earth via Geodetic-Geophysical Space Techniques written by Frank M. Flechtner and published by Springer Science & Business Media. This book was released on 2010-07-10 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our planet is currently experiencing substantial changes due to natural phen- ena and direct or indirect human interactions. Observations from space are the only means to monitor and quantify these changes on a global and long-term p- spective. Continuous time series of a large set of Earth system parameters are needed in order to better understand the processes causing these changes, as well as their interactions. This knowledge is needed to build comprehensive Earth s- tem models used for analysis and prediction of the changing Earth. Geodesy and geophysics contribute to the understanding of system Earth through the observation of global parameter sets in space and time, such as tectonic motion, Earth surface deformation, sea level changes and gravity, magnetic and atmospheric elds. In the framework of the German geoscience research and development p- gramme GEOTECHNOLOGIEN, research projects related to the theme “Observing the Earth System from Space” have been funded within two consecutive phases since 2002, both covering 3 years. The projects address data analysis and model development using the satellite missions CHAMP, GRACE, GOCE and comp- mentary ground or airborne observations. The results of the rst phase projects have been published in the Springer book, titled “Observation of the Earth System from Space”, edited by Flury, Rummel, Reigber, Rothacher, Boedecker and Schreiber in 2006. The present book, titled “System Earth via Geodetic-Geophysical Space Techniques” summarizes in 40 scienti c papers the results of eight coordinated research projects funded in the second phase of this programme (2005–2008).
Book Synopsis Remote Sensing by Satellite Gravimetry by : Thomas Gruber
Download or read book Remote Sensing by Satellite Gravimetry written by Thomas Gruber and published by MDPI. This book was released on 2021-01-19 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last two decades, satellite gravimetry has become a new remote sensing technique that provides a detailed global picture of the physical structure of the Earth. With the CHAMP, GRACE, GOCE and GRACE Follow-On missions, mass distribution and mass transport in the Earth system can be systematically observed and monitored from space. A wide range of Earth science disciplines benefit from these data, enabling improvements in applied models, providing new insights into Earth system processes (e.g., monitoring the global water cycle, ice sheet and glacier melting or sea-level rise) or establishing new operational services. Long time series of mass transport data are needed to disentangle anthropogenic and natural sources of climate change impacts on the Earth system. In order to secure sustained observations on a long-term basis, space agencies and the Earth science community are currently planning future satellite gravimetry mission concepts to enable higher accuracy and better spatial and temporal resolution. This Special Issue provides examples of recent improvements in gravity observation techniques and data processing and analysis, applications in the fields of hydrology, glaciology and solid Earth based on satellite gravimetry data, as well as concepts of future satellite constellations for monitoring mass transport in the Earth system.
Book Synopsis Satellite Altimetry for Geodesy, Geophysics and Oceanography by : Cheinway Hwang
Download or read book Satellite Altimetry for Geodesy, Geophysics and Oceanography written by Cheinway Hwang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers a broad range of altimetry applications, including marine gravity and geoid, sea level change, ocean tide modeling, ocean circulations, marine plate tectonics, mesoscale eddies and bathymetry predictions. Virtually all disciplines of earth sciences are touched upon through the technique of satellite altimetry. Readers will find useful data processing techniques and novel applications of satellite altimetry, which otherwise are scattered in journals and special books.
Book Synopsis Stochastic Models for Geodesy and Geoinformation Science by : Frank Neitzel
Download or read book Stochastic Models for Geodesy and Geoinformation Science written by Frank Neitzel and published by MDPI. This book was released on 2021-02-12 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: In geodesy and geoinformation science, as well as in many other technical disciplines, it is often not possible to directly determine the desired target quantities. Therefore, the unknown parameters must be linked with the measured values by a mathematical model which consists of the functional and the stochastic models. The functional model describes the geometrical–physical relationship between the measurements and the unknown parameters. This relationship is sufficiently well known for most applications. With regard to the stochastic model, two problem domains of fundamental importance arise: 1. How can stochastic models be set up as realistically as possible for the various geodetic observation methods and sensor systems? 2. How can the stochastic information be adequately considered in appropriate least squares adjustment models? Further questions include the interpretation of the stochastic properties of the computed target values with regard to precision and reliability and the use of the results for the detection of outliers in the input data (measurements). In this Special Issue, current research results on these general questions are presented in ten peer-reviewed articles. The basic findings can be applied to all technical scientific fields where measurements are used for the determination of parameters to describe geometric or physical phenomena.
Book Synopsis Gravity, Geoid and Earth Observation by : Stelios P. Mertikas
Download or read book Gravity, Geoid and Earth Observation written by Stelios P. Mertikas and published by Springer Science & Business Media. This book was released on 2010-06-25 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings include the written version of papers presented at the IAG International Symposium on "Gravity, Geoid and Earth Observation 2008". The Symposium was held in Chania, Crete, Greece, 23-27 June 2008 and organized by the Laboratory of Geodesy and Geomatics Engineering, Technical University of Crete, Greece. The meeting was arranged by the International Association of Geodesy and in particular by the IAG Commission 2: Gravity Field. The symposium aimed at bringing together geodesists and geophysicists working in the general areas of gravity, geoid, geodynamics and Earth observation. Besides covering the traditional research areas, special attention was paid to the use of geodetic methods for: Earth observation, environmental monitoring, Global Geodetic Observing System (GGOS), Earth Gravity Models (e.g., EGM08), geodynamics studies, dedicated gravity satellite missions (i.e., GOCE), airborne gravity surveys, Geodesy and geodynamics in polar regions, and the integration of geodetic and geophysical information.
Book Synopsis I. Developments in Spectral Stochastic Techniques for Gravity Field Modelling by :
Download or read book I. Developments in Spectral Stochastic Techniques for Gravity Field Modelling written by and published by . This book was released on 1998 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Publications on Geodesy written by and published by . This book was released on 1991 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applications of Linear and Nonlinear Models by : Erik W. Grafarend
Download or read book Applications of Linear and Nonlinear Models written by Erik W. Grafarend and published by Springer Nature. This book was released on 2022-10-01 with total page 1127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides numerous examples of linear and nonlinear model applications. Here, we present a nearly complete treatment of the Grand Universe of linear and weakly nonlinear regression models within the first 8 chapters. Our point of view is both an algebraic view and a stochastic one. For example, there is an equivalent lemma between a best, linear uniformly unbiased estimation (BLUUE) in a Gauss–Markov model and a least squares solution (LESS) in a system of linear equations. While BLUUE is a stochastic regression model, LESS is an algebraic solution. In the first six chapters, we concentrate on underdetermined and overdetermined linear systems as well as systems with a datum defect. We review estimators/algebraic solutions of type MINOLESS, BLIMBE, BLUMBE, BLUUE, BIQUE, BLE, BIQUE, and total least squares. The highlight is the simultaneous determination of the first moment and the second central moment of a probability distribution in an inhomogeneous multilinear estimation by the so-called E-D correspondence as well as its Bayes design. In addition, we discuss continuous networks versus discrete networks, use of Grassmann–Plucker coordinates, criterion matrices of type Taylor–Karman as well as FUZZY sets. Chapter seven is a speciality in the treatment of an overjet. This second edition adds three new chapters: (1) Chapter on integer least squares that covers (i) model for positioning as a mixed integer linear model which includes integer parameters. (ii) The general integer least squares problem is formulated, and the optimality of the least squares solution is shown. (iii) The relation to the closest vector problem is considered, and the notion of reduced lattice basis is introduced. (iv) The famous LLL algorithm for generating a Lovasz reduced basis is explained. (2) Bayes methods that covers (i) general principle of Bayesian modeling. Explain the notion of prior distribution and posterior distribution. Choose the pragmatic approach for exploring the advantages of iterative Bayesian calculations and hierarchical modeling. (ii) Present the Bayes methods for linear models with normal distributed errors, including noninformative priors, conjugate priors, normal gamma distributions and (iii) short outview to modern application of Bayesian modeling. Useful in case of nonlinear models or linear models with no normal distribution: Monte Carlo (MC), Markov chain Monte Carlo (MCMC), approximative Bayesian computation (ABC) methods. (3) Error-in-variables models, which cover: (i) Introduce the error-in-variables (EIV) model, discuss the difference to least squares estimators (LSE), (ii) calculate the total least squares (TLS) estimator. Summarize the properties of TLS, (iii) explain the idea of simulation extrapolation (SIMEX) estimators, (iv) introduce the symmetrized SIMEX (SYMEX) estimator and its relation to TLS, and (v) short outview to nonlinear EIV models. The chapter on algebraic solution of nonlinear system of equations has also been updated in line with the new emerging field of hybrid numeric-symbolic solutions to systems of nonlinear equations, ermined system of nonlinear equations on curved manifolds. The von Mises–Fisher distribution is characteristic for circular or (hyper) spherical data. Our last chapter is devoted to probabilistic regression, the special Gauss–Markov model with random effects leading to estimators of type BLIP and VIP including Bayesian estimation. A great part of the work is presented in four appendices. Appendix A is a treatment, of tensor algebra, namely linear algebra, matrix algebra, and multilinear algebra. Appendix B is devoted to sampling distributions and their use in terms of confidence intervals and confidence regions. Appendix C reviews the elementary notions of statistics, namely random events and stochastic processes. Appendix D introduces the basics of Groebner basis algebra, its careful definition, the Buchberger algorithm, especially the C. F. Gauss combinatorial algorithm.
Book Synopsis Gravity, Geoid and Height Systems by : Urs Marti
Download or read book Gravity, Geoid and Height Systems written by Urs Marti and published by Springer. This book was released on 2015-01-13 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes a selection of papers presented at the IAG international symposium "Gravity, Geoid and Height Systems 2012" (GGHS2012), which was organized by IAG Commission 2 “Gravity Field” with the assistance of the International Gravity Field Service (IGFS) and GGOS Theme 1 “Unified Global Height System”. The book summarizes the latest results on gravimetry and gravity networks, global gravity field modeling and applications, future gravity field missions. It provides a detailed compilation on advances in precise local and regional high-resolution geoid modeling, the establishment and unification of vertical reference systems, contributions to gravity field and mass transport modeling as well as articles on the gravity field of planetary bodies.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
