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Text discusses earth's gravitational field; matrices and orbital geometry; satellite orbit dynamics; geometry of satellite observations; statistical implications; and data analysis.
Based on "Heiskanen/Moritz" which served for more than 30 years as a standard reference Treats physical geodesy encyclopaedically Seamless blend of new ideas and methods (GPS, satellites, collocation)
Advances in space-borne technologies lead to improvements in observations and have a notable impact on geodesy and its applications. As a consequence of these improvements in data accuracies, spatial and temporal resolutions, as well as the developments in the methodologies, more detailed analyses of the Earth and a deeper understanding of its state and dynamic processes are possible today. From this perspective, this book is a collection of the selected reviews and case-study articles that report the advances in methodology and applications in geodesy. The chapters in the book are mainly dedicated to the Earth’s gravity field theory and applications, sea level monitoring and analysis, navigation satellite systems data and applications, and monitoring networks for tectonic deformations. This collection is a current state analysis of the geodetic research in theory and applications in today’s modern world.
Celestial mechanics aims to predict the motion of every real object in outer space, no matter what causes changes in its orbit. The motion of most planets and natural satellites can be successfully described by conservative celestial mechanics and problems can be studied within the formalism of Hamiltonian mechanics. The few exceptions which experience significant non-gravitational effects call for only very small corrections to the purely gravitational theory. All satellites experience non-gravitational perturbations to their orbits. However, factors such as the relatively high area-to-mass ratio of spacecraft compared with that of even a tiny asteroid significantly increase the relative effect of non-gravitational to gravitational forces on the orbits of artificial satellites. When the orbital tracking is carried out by very accurate techniques, the need arises to model, or at least to estimate, the effects of phenomena such as radiation pressure from solar light and from Earthshine or drag caused by neutral and charged particles. This book presents the basic ideas of the physics of the main non-gravitational perturbations and the mathematics of the methods required to compute their orbital effects. The authors convey to the reader the relevance of the different problems that need to be solved to achieve a given level of accuracy in the orbit determination and in the recovery of geophysically significant parameters. The book will enable readers to assess for themselves the possible geodetic uses of given space missions, or maybe to propose a new one, or to propose a combined geodetic use for a mission envisaged for other purposes. The Authors Andrea Milani is a mathematician, Anna Maria Nobili ad Paolo Farinella are physicists. They began working together in celestial mechanics and satellite geodesy in 1978, when they formed, with others, the Space Mechanics Group now based at the Department of Mathematics of the University of Pisa, Italy. By travelling to many research centres in Europe and in the USA, and by presenting several proposals for space-based experiments to the European Space Agency and to the Italian Space Program, they have learned how to assess the difficulty of an orbit determination and how often the problem is due to poor modelling of very-subtle non-gravitational effects, In this book they try to make their know-how available to others, as well as teaching some basic tools of celestial mechanics on the basis of their experience in basic research. A Milani and A M Nobili also work on the stability of the solar system, P Farinella also studies the dynamics and physics of the asteriod belt.
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
Satellite Gravimetry and the Solid Earth: Mathematical Foundations presents the theories behind satellite gravimetry data and their connections to solid Earth. It covers the theory of satellite gravimetry and data analysis, presenting it in a way that is accessible across geophysical disciplines. Through a discussion of satellite measurements and the mathematical concepts behind them, the book shows how various satellite measurements, such as satellite orbit, acceleration, vector gravimetry, gravity gradiometry, and integral energy methods can contribute to an understanding of the gravity field and solid Earth geophysics. Bridging the gap between geodesy and geophysics, this book is a valuable resource for researchers and students studying gravity, gravimetry and a variety of geophysical and Earth Science fields. - Presents mathematical concepts in a pedagogic and straightforward way to enhance understanding across disciplines - Explains how a variety of satellite data can be used for gravity field determination and other geophysical applications - Covers a number of problems related to gravimetry and the gravity field, as well as the effects of atmospheric and topographic factors on the data - Addresses the regularization method for solving integral equations, isostasy based on gravimetric and flexure methods, elastic thickness, and sub-lithospheric stress
This, the second edition of the hugely practical reference and handbook describes kinematic, static and dynamic Global Positioning System theory and applications. It is primarily based upon source-code descriptions of the KSGSoft program developed by the author and his colleagues and used in the AGMASCO project of the EU. This is the first book to report the unified GPS data processing method and algorithm that uses equations for selectively eliminated equivalent observations.
This series of reference books describes sciences of different elds in and around geodesy with independent chapters. Each chapter covers an individual eld and describes the history, theory, objective, technology, development, highlights of research and applications. In addition, problems as well as future directions are discussed. The subjects of this reference book include Absolute and Relative Gravimetry, Adaptively Robust Kalman Filters with Applications in Navigation, Airborne Gravity Field Determination, Analytic Orbit Theory, Deformation and Tectonics, Earth Rotation, Equivalence of GPS Algorithms and its Inference, Marine Geodesy, Satellite Laser Ranging, Superconducting Gravimetry and Synthetic Aperture Radar Interferometry. These are individual subjects in and around geodesy and are for the rst time combined in a unique book which may be used for teaching or for learning basic principles of many subjects related to geodesy. The material is suitable to provide a general overview of geodetic sciences for high-level geodetic researchers, educators as well as engineers and students. Some of the chapters are written to ll literature blanks of the related areas. Most chapters are written by well-known scientists throughout the world in the related areas. The chapters are ordered by their titles. Summaries of the individual chapters and introductions of their authors and co-authors are as follows. Chapter 1 “Absolute and Relative Gravimetry” provides an overview of the gravimetric methods to determine most accurately the gravity acceleration at given locations.
Due to steadily improving experimental accuracy, relativistic concepts – based on Einstein’s theory of Special and General Relativity – are playing an increasingly important role in modern geodesy. This book offers an introduction to the emerging field of relativistic geodesy, and covers topics ranging from the description of clocks and test bodies, to time and frequency measurements, to current and future observations. Emphasis is placed on geodetically relevant definitions and fundamental methods in the context of Einstein’s theory (e.g. the role of observers, use of clocks, definition of reference systems and the geoid, use of relativistic approximation schemes). Further, the applications discussed range from chronometric and gradiometric determinations of the gravitational field, to the latest (satellite) experiments. The impact of choices made at a fundamental theoretical level on the interpretation of measurements and the planning of future experiments is also highlighted. Providing an up-to-the-minute status report on the respective topics discussed, the book will not only benefit experts, but will also serve as a guide for students with a background in either geodesy or gravitational physics who are interested in entering and exploring this emerging field.