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Geoid Determination

Theory and Methods

  • Book
  • © 2013

Overview

Editors:
  1. Fernando Sansò

    1. Fac. Ingneria di Como, Politecnico Milano, Como, Italy

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  2. Michael G. Sideris

    1. Fac. Engineering, Dept. Geomatics Engineering, University of Calgary, Calgary, Canada

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    You can also search for this editor in PubMed   Google Scholar

  • This book uniquely consolidates, unifies and streamlines material, which is not yet covered by the scarce literature on geoid determination
  • Of great benefit to graduates and lecturers alike
  • Long awaited and comprehensive study

Part of the book series: Lecture Notes in Earth System Sciences (LNESS)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Theory

    1. Front Matter

      Pages 1-1
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    2. The Forward Modelling of the Gravity Field

      • Fernando Sansò, Michael G. Sideris
      Pages 3-71

    3. Observables of Physical Geodesy and Their Analytical Representation

      • Fernando Sansò, Michael G. Sideris
      Pages 73-110

    4. Harmonic Calculus and Global Gravity Models

      • Fernando Sansò, Michael G. Sideris
      Pages 111-168

    5. The Local Modelling of the Gravity Field: The Terrain Effects

      • Fernando Sansò, Michael G. Sideris
      Pages 169-201

    6. The Local Modelling of the Gravity Field by Collocation

      • Fernando Sansò, Michael G. Sideris
      Pages 203-258

  3. Methods and Applications

    1. Front Matter

      Pages 259-259
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  4. Methods

    1. Global Gravitational Models

      • Nikolaos K. Pavlis
      Pages 261-310

    2. Geoid Determination by 3D Least-Squares Collocation

      • Carl Christian Tscherning
      Pages 311-336

    3. Topographic Reductions in Gravity and Geoid Modeling

      • Ilias N. Tziavos, Michael G. Sideris
      Pages 337-400

    4. Marine Gravity and Geoid from Satellite Altimetry

      • Ole B. Andersen
      Pages 401-451

    5. Geoid Determination by FFT Techniques

      • Michael G. Sideris
      Pages 453-516

    6. Combination of Heights

      • G. Fotopoulos
      Pages 517-544

  5. Advanced Analysis Methods

    1. Front Matter

      Pages 545-545
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  6. Advanced Theory

    1. Hilbert Spaces and Deterministic Collocation

      • Fernando Sansò, Michael G. Sideris
      Pages 547-589

    2. On Potential Theory and HS of Harmonic Functions

      • Fernando Sansò, Michael G. Sideris
      Pages 591-644

    3. A Quick Look to Classical Boundary Value Problems (BVP) Solutions

      • Fernando Sansò, Michael G. Sideris
      Pages 645-661

    4. The Analysis of Geodetic Boundary Value Problems in Linear form

      • Fernando Sansò, Michael G. Sideris
      Pages 663-706

  7. Back Matter

    Pages 707-734
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About this book

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.

Editors and Affiliations

  • Fac. Ingneria di Como, Politecnico Milano, Como, Italy

    Fernando Sansò

  • Fac. Engineering, Dept. Geomatics Engineering, University of Calgary, Calgary, Canada

    Michael G. Sideris

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