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E-book

Title Geoid determination / edited by Fernando Sanso and Michael Sideris
Published New York ; London : Springer, 2008

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Description 1 online resource
Series Lecture notes in earth sciences
Lecture notes in earth sciences.
Contents The Forward Modelling of the Gravity Field / Fernando Sansò, Michael G. Sideris -- Observables of Physical Geodesy and Their Analytical Representation / Fernando Sansò, Michael G. Sideris -- Harmonic Calculus and Global Gravity Models / Fernando Sansò, Michael G. Sideris -- The Local Modelling of the Gravity Field: The Terrain Effects / Fernando Sansò, Michael G. Sideris -- The Local Modelling of the Gravity Field by Collocation / Fernando Sansò, Michael G. Sideris -- Methods -- Global Gravitational Models / Nikolaos K. Pavlis -- Geoid Determination by 3D Least-Squares Collocation / Carl Christian Tscherning -- Topographic Reductions in Gravity and Geoid Modeling / Ilias N. Tziavos, Michael G. Sideris -- Marine Gravity and Geoid from Satellite Altimetry / Ole B. Andersen -- Geoid Determination by FFT Techniques / Michael G. Sideris -- Combination of Heights / G. Fotopoulos -- Advanced Theory -- Hilbert Spaces and Deterministic Collocation / Fernando Sansò, Michael G. Sideris -- On Potential Theory and HS of Harmonic Functions / Fernando Sansò, Michael G. Sideris -- A Quick Look to Classical Boundary Value Problems (BVP) Solutions / Fernando Sansò, Michael G. Sideris -- The Analysis of Geodetic Boundary Value Problems in Linear form
Summary Knowledge of the Earth's gravity field is an essential component for understanding the physical system of the Earth
Inside the masses, the field interacts with many other fields, according to complicated processes of physical and chemical nature; the study of these phenomena is the object of geophysics
Outside the masses, the gravity field smoothes out in agreement with the "harmonic" character of gravitation, while preserving, particularly close to the Earth's surface, the signature of the internal processes; the study of the gravity field on the boundary and in the external space is the object of physical geodesy
It is necessary to define a separation surface between the masses and the "free" space
This surface is the geoid, an equipotential surface of the gravity field in a stack of such surfaces, close to the surface of the sea
Determining the geoid, or some other surface closer to the Earth's surface, has become synonymous to modelling the gravity field in physical geodesy; this is the subject of this book
Nowadays, this knowledge has become a practical issue also for engineering and other applications, because the geoid is used as a reference surface (datum) of physical heights that is very important in order to relate such heights to purely geometric ones obtained, for example, from GNSS
The methods currently used to produce the geoid at the centimetre level require significant mathematical, stochastic and numerical analysis
The book is structured in such a way as to provide self consistently all the necessary theoretical concepts, from the most elementary ones, such as Newton's gravitation law, to the most complicated ones dealing with the stability of solutions of boundary value problems
It also provides a full description of the available numerical techniques for precise geoid and quasi-geoid determination
In this way, the book can be used by both students at the undergraduate and graduate level, as well as by researchers engaged in studies in physical geodesy and in geophysics
The text is accompanied by a number of examples, from most elementary to more advanced, as well as by exercises that illustrate the main concepts and computational methods
Analysis aardwetenschappen
earth sciences
engineering
geografische informatiesystemen
geographical information systems
cartografie
mapping
magnetisme
magnetism
geofysica
geophysics
geodesie
geodesy
Geology (General)
Geologie (algemeen)
Notes Print version record
Subject SCIENCE -- Earth Sciences -- Geography.
TECHNOLOGY & ENGINEERING -- Cartography.
Sciences de la terre.
Environnement.
SUBJECT Earth (Planet) -- Figure -- Measurement
Earth (Planet) -- Figure -- Mathematical models
Subject Earth (Planet)
Form Electronic book
Author Sansò, F. (Fernando), 1945-
Sideris, Michael G., 1958-
ISBN 9783540747000
3540747001