Download or read book Analysis of the Gravity Field written by Fernando Sansò and published by Springer Nature. This book was released on 2022-06-09 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book A Semi analytical Approach to Gravity Field Analysis from Satellite Observations written by Nico Sneeuw and published by . This book was released on 2000 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Analysis of the Earth s Gravity Field written by and published by . This book was released on 1971 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Analysis of the Earth s Gravity Field written by Ronald S. Mather and published by . This book was released on 1971 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Earth Gravity Field from Space from Sensors to Earth Sciences written by G. Beutler and published by Springer Science & Business Media. This book was released on 2003-10-31 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume resulting from an ISSI Workshop, 11-15 March 2002, Bern, Switzerland
Download or read book Gravity Interpretation written by Wolfgang Jacoby and published by Springer Science & Business Media. This book was released on 2009-02-01 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gravity interpretation involves inversion of data into models, but it is more. Gravity interpretation is used in a “holistic” sense going beyond “inversion”. Inversion is like optimization within certain a priori assumptions, i.e., all anticipated models lie in a limited domain of the a priori errors. No source should exist outside the anticipated model volume, but that is never literally true. Interpretation goes beyond by taking “outside” possibilities into account in the widest sense. Any neglected possibility carries the danger of seriously affecting the interpretation. Gravity interpretation pertains to wider questions such as the shape of the Earth, the nature of the continental and oceanic crust, isostasy, forces and stresses, geol- ical structure, nding useful resources, climate change, etc. Interpretation is often used synonymously with modelling and inversion of observations toward models. Interpretation places the inversion results into the wider geological or economic context and into the framework of science and humanity. Models play a central role in science. They are images of phenomena of the physical world, for example, scale images or metaphors, enabling the human mind to describe observations and re- tionships by abstract mathematical means. Models served orientation and survival in a complex, partly invisible physical and social environment.
Download or read book Geoid Determination written by Fernando Sansò and published by Springer Science & Business Media. This book was released on 2013-02-13 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will be based on the material of the lecture noties in several International Schools for the Determination and Use of the Geoid, organized by the International Geoid Serivice of the International Association of Geodesy. It consolidates, unifies, and streamlines this material in a unique way not covereed by the few other books that exist on this subjext. More specifically, the book presents (for the first time in a single volume) the theory and methodology of the most common technique used for precise determination of the geoid, including the computation of the marine geoid from satellite altimetry data. These are illustrated by specific examples and actual computations of local geoids. In addition, the book provides the fundamentals of estimating orthometric heights without spirit levelling, by properly combining a geoid with heights from GPS. Besides the geodectic and geophysical uses, this last application has made geoid computation methods very popular in recent years because the entire GPS and GIS user communities are interested in estimating geoid undulations in order to convert GPS heights to physically meaningful orthometric heights (elevations above mean sea level). The overall purpose of the book is, therefore, to provide the user community (academics, graduate students, geophysicists, engineers, oceanographers, GIS and GPS users, researchers) with a self-contained textbook, which will supply them with the complete roadmap of estimating geoid undulations, from the theoretical definitions and formulas to the available numerical methods and their implementation and the test in practice.
Download or read book Gravity Field Analysis from the Satellite Missions CHAMP and GOCE written by Martin Wermuth and published by . This book was released on 2008 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Analysis of Gravity Field Estimation Based on Intersatellite Ddual 1 Way Biased Ranging written by J. B. Thomas and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book From Mars to Greenland Charting Gravity With Space and Airborne Instruments written by Oscar L. Colombo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Precise and continuous tracking with multi-satellite systems of aircraft andlow flying satellites, accurate airborne measurement of gravity and gravity gradients, and satellite gradiometry have fundamentally changed our view on the de- termination of the Earth's gravity field. The papers in this volume describe these techniques in detail. The ideas are presentedas complementary, and are used to develop new theoretical concepts of gravity field analysis. Computatio- nal models using these techniques are also discussed and are tested in simulations. The papers presented in this volume are the result of an IAG symposium held during the XX General Assembly of the Inter- national Union of Geodesy and Geophysics in Vienna, Austria, August 11-24, 1991.
Download or read book Time variations in the earth s gravity field from Starlette orbit analysis written by Minkang Cheng and published by . This book was released on 1988 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical and Harmonic Analysis of Gravity written by United States. Army Map Service and published by . This book was released on 1959 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Satellite Gravity and the Geosphere written by National Research Council and published by National Academies Press. This book was released on 1997-09-02 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past three decades, it has been possible to measure the earth's static gravity from satellites. Such measurements have been used to address many important scientific problems, including the earth's internal structure, and geologically slow processes like mantle convection. In principle, it is possible to resolve the time-varying component of the gravity field by improving the accuracy of satellite gravity measurements. These temporal variations are caused by dynamic processes that change the mass distribution in the earth, oceans, and atmosphere. Acquisition of improved time-varying gravity data would open a new class of important scientific problems to analysis, including crustal motions associated with earthquakes and changes in groundwater levels, ice dynamics, sea-level changes, and atmospheric and oceanic circulation patterns. This book evaluates the potential for using satellite technologies to measure the time-varying component of the gravity field and assess the utility of these data for addressing problems of interest to the earth sciences, natural hazards, and resource communities.
Download or read book Identification and Analysis of the Mantle Component of the Gravity Field for a Joint Interpretation of Geophysical Fields of the World Ocean written by V. B. Buryanov and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Gravity Field Information from the Analysis of Satellite Gradiometer Data written by Abd. Majid A. Kadir and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lunar Gravimetry written by Rune Floberghagen and published by Springer Science & Business Media. This book was released on 2012-08-27 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lunar Gravimetry: Revealing the Far-Side provides a thorough and detailed discussion of lunar gravity field research and applications, from the initial efforts of the pre-Apollo and Luna eras to the dedicated gravity mapping experiments of the third millennium. Analysis of the spatial variations of the gravity field of the Moon is a key selenodetic element in the understanding of the physics of the Moon's interior. Remarkably, more than forty years after the initial steps in lunar exploration by spacecraft, the global gravity field still remains largely unknown, due to the limitations of standard observations techniques. As such, knowledge of the high-accuracy and high-resolution gravity field is one of the remaining unsolved issues in lunar science.
