Boundary Value Problems For Gravimetric Determination Of A Precise Geoid
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Boundary Value Problems For Gravimetric Determination Of A Precise Geoid
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Author : Zdenek Martinec
language : en
Publisher:
Release Date : 2014-01-15
Boundary Value Problems For Gravimetric Determination Of A Precise Geoid written by Zdenek Martinec and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Boundary Value Problems For Gravimetric Determination Of A Precise Geoid
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Author : Zdenek Martinec
language : en
Publisher: Springer
Release Date : 1998-08-20
Boundary Value Problems For Gravimetric Determination Of A Precise Geoid written by Zdenek Martinec and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-20 with Mathematics categories.
This book offers a simultaneous treatment of the theory and numerical application of boundary-value problems related to the determination of a precise geoid from gravimetric data. The following subjects are discussed: topographical effects and their computations in precise gravimetric geoid determination, the downward continuation of a harmonic function, Stokes' problem formulated on an ellipsoid of revolution, spherical Stokes' problem with ellipsoidal corrections involved in boundary conditions for an anomalous potential, and the altimetry-gravimetry boundary-value problem. The answer to a number of scientific problems, raised and discussed in geodetic literature over the past years, can be found here. The book is intended for scientists and advanced graduate students.
Geodetic Boundary Value Problem The Equivalence Between Molodensky S And Helmert S Solutions
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Author : Fernando Sansò
language : en
Publisher: Springer
Release Date : 2016-11-09
Geodetic Boundary Value Problem The Equivalence Between Molodensky S And Helmert S Solutions written by Fernando Sansò and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-09 with Science categories.
This book offers a new approach to interpreting the geodetic boundary value problem, successfully obtaining the solutions of the Molodensky and Stokes boundary value problems (BVPs) with the help of downward continuation (DC) based methods. Although DC is known to be an improperly posed operation, classical methods seem to provide numerically sensible results, and therefore it can be concluded that such classical methods must in fact be manifestations of different, mathematically sound approaches. Here, the authors first prove the equivalence of Molodensky’s and Stoke's approaches with Helmert’s reduction in terms of both BVP formulation and BVP solutions by means of the DC method. They then go on to show that this is not merely a downward continuation operation, and provide more rigorous interpretations of the DC approach as a change of boundary approach and as a pseudo BVP solution approach.
Geodetic Boundary Value Problems In View Of The One Centimeter Geoid
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Author : Fernando Sansò
language : en
Publisher: Springer
Release Date : 2014-03-12
Geodetic Boundary Value Problems In View Of The One Centimeter Geoid written by Fernando Sansò and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Science categories.
The precise determination of the figure of the earth and its exterior gravitational field requires the solution of the geodetic boundary value problem (GBVP). Recently, a whole series of new measurement techniques has became available, in particular air- and spaceborne methods. They will make its solution much more complete and accurate and will contribute to a better understanding of ocean circulation and of the earth's interior. The book consists of contributions from leading scientists presented at an international summer school. It covers all aspects of the solution of the GBVP, from a mathematical basis via geodetic modeling to its relationship with advanced measurements. It provides three foundations to determine the geoid at a 1-cm precision level.
Geodetic Boundary Value Problems In View Of The One Centimeter Geoid
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Author : Fernando Sansò
language : en
Publisher: Springer
Release Date : 1997-06-25
Geodetic Boundary Value Problems In View Of The One Centimeter Geoid written by Fernando Sansò and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-25 with Mathematics categories.
The precise determination of the figure of the earth and its exterior gravitational field requires the solution of the geodetic boundary value problem (GBVP). Recently, a whole series of new measurement techniques has became available, in particular air- and spaceborne methods. They will make its solution much more complete and accurate and will contribute to a better understanding of ocean circulation and of the earth's interior. The book consists of contributions from leading scientists presented at an international summer school. It covers all aspects of the solution of the GBVP, from a mathematical basis via geodetic modeling to its relationship with advanced measurements. It provides three foundations to determine the geoid at a 1-cm precision level.
Determination Of The Geoid
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Author : Richard H. Rapp
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Determination Of The Geoid written by Richard H. Rapp and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Rapid growth of geodetic information provided by the Global Positioning System (GPS) and stringent requirements for a precise geoid in ocean areas for ocean circulation models have spurred interest in geoid studies. As a result, the International Geoid Commission was formed to provide a focus for this important geoid research. Determination of the Geoid: Present and Future is the result of the first meeting of the Commission, held at the Instituto di Topografia, Fotogrammetria e Geofisica at the Politecnico di Milano, June 1990. Six major topics are presented: Global Geopotential Models: Present and Future; Role of Topography in Geoid Computations; the Geoid and the Global Positioning System; the State of Computation of National or Regional Geoids; Software and Data Improvements for Geoid Computations; and Recent Developments in the GEOMED (Determination of the Geoid in the Mediterranean) Project.
Geoid Determination
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Author : Fernando Sansò
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-13
Geoid Determination written by Fernando Sansò and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-13 with Science categories.
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.
Gravity Inversion And Integration
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Author : Lars E. Sjöberg
language : en
Publisher: Springer
Release Date : 2017-04-19
Gravity Inversion And Integration written by Lars E. Sjöberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-19 with Science categories.
This book contains theory and applications of gravity both for physical geodesy and geophysics. It identifies classical and modern topics for studying the Earth. Worked-out examples illustrate basic but important concepts of the Earth’s gravity field. In addition, coverage details the Geodetic Reference System 1980, a versatile tool in most applications of gravity data. The authors first introduce the necessary mathematics. They then review classic physical geodesy, including its integral formulas, height systems and their determinations. The next chapter presents modern physical geodesy starting with the original concepts of M.S. Molodensky. A major part of this chapter is a variety of modifying Stokes’ formula for geoid computation by combining terrestrial gravity data and an Earth Gravitational Model. Coverage continues with a discussion that compares today’s methods for modifying Stokes’ formulas for geoid and quasigeoid determination, a description of several modern tools in physical geodesy, and a review of methods for gravity inversion as well as analyses for temporal changes of the gravity field. This book aims to broaden the view of scientists and students in geodesy and geophysics. With a focus on theory, it provides basic and some in-depth knowledge about the field from a geodesist’s perspective. /div
Vistas For Geodesy In The New Millennium
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Author : Jozsef Adam
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Vistas For Geodesy In The New Millennium written by Jozsef Adam and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
It was in September 1906 that the predecessor of the IAG, the 'Internationale Erdmessung', th organized the 15 General Assembly at the Hungarian Academy of Sciences in Budapest. It was 95 years later, in September 2001, that the IAG returned to this beautiful city to hold its Scientific Assembly, IAG 2001, in the historical premises of the Academy. The meeting took place from September 2-7, 2001 and continued the tradition of Scientific Assemblies, started in Tokyo (1982) and continued in Edinburgh (1989), Beijing (1993) and Rio de Janeiro (1997). Held every four years at the midpoint between General Assemblies of the IAG, they focus on giving an integrated view of geodesy to a broad spectrum of researchers and practitioners in geodesy and geophysics. The convenient location of the main building of the Hungarian Academy in downtown Budapest and the superb efforts of the Local Organizing Committee contributed in a major way to the excellent atmosphere of the meeting. As at previous meetings, the scientific part of the program was organized as a series of symposia which, as a whole, gave a broad overview of actual geodetic research activities. To emphasize an integrated view of geodesy, the symposia did not follow the pattern of the IAG Sections, but focussed on current research topics to which several IAG Sections could contribute. Each symposium had 5 sessions with presented papers and poster sessions on two consecutive days.
Geoid And Its Geophysical Interpretations
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Author : Petr Vanicek
language : en
Publisher: CRC Press
Release Date : 2020-09-23
Geoid And Its Geophysical Interpretations written by Petr Vanicek and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-23 with Science categories.
Geoid and its Geophysical Interpretations explains how an accurate geoid can be constructed and used for a variety of applied and theoretical geophysical purposes. The book discusses existing techniques for geoid computation, recently developed mathematical and computational tools designed for applications, and various interpretations. Principles and results are well illustrated. This book will be an excellent reference for geodesists, geophysicists, geophysical prospectors, oceanographers, and researchers and students in geophysics and geodesy.