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Geodetic Heights

  • Book
  • © 2019

Overview

Authors:
  1. Fernando Sansò

    1. Department of Civil and Environmental Engineering (DICA), Politecnico di Milano, Milan, Italy

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  2. Mirko Reguzzoni

    1. Department of Civil and Environmental Engineering (DICA), Politecnico di Milano, Milan, Italy

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  3. Riccardo Barzaghi

    1. Department of Civil and Environmental Engineering (DICA), Politecnico di Milano, Milan, Italy

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  • Provides the definition of most height systems in use and to the relative transformations
  • Gives rigorous observation equations for a classical technique like spirit leveling, showing that contrary to the geodetic practice it is natural to use normal heights instead of orthometric heights
  • Acquaints the reader with an up-to-date problem, namely the definition and use of global and regional height reference systems

Part of the book series: Springer Geophysics (SPRINGERGEOPHYS)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-viii
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  2. Introduction

    • Fernando Sansò, Mirko Reguzzoni, Riccardo Barzaghi
    Pages 1-5

  3. General Coordinates in \(\mathcal {R}^3\)

    • Fernando Sansò, Mirko Reguzzoni, Riccardo Barzaghi
    Pages 7-28

  4. The Earth Gravity Field: Basics

    • Fernando Sansò, Mirko Reguzzoni, Riccardo Barzaghi
    Pages 29-49

  5. The Anomalous Potential and Its Determination

    • Fernando Sansò, Mirko Reguzzoni, Riccardo Barzaghi
    Pages 51-83

  6. Geodetic Coordinate Systems

    • Fernando Sansò, Mirko Reguzzoni, Riccardo Barzaghi
    Pages 85-103

  7. The Relation Between Levelling, Geodetic and Other Unholonomic Heights

    • Fernando Sansò, Mirko Reguzzoni, Riccardo Barzaghi
    Pages 105-116

  8. The Height Datum Problem

    • Fernando Sansò, Mirko Reguzzoni, Riccardo Barzaghi
    Pages 117-138

  9. Back Matter

    Pages 139-141
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Keywords

About this book

This book provides the necessary background of geometry, mathematics and physical geodesy, useful to a rigorous approach to geodetic heights. The concept of height seems to be intuitive and immediate, but on the contrary it requires a good deal of scientific sharpness in the definition and use. As a matter of fact the geodetic, geographic and engineering practice has introduced many different heights to describe our Earth physical reality in terms of spatial position of points and surfaces. This has urged us to achieve a standard capability of transforming one system into the other. Often this is done in an approximate and clumsy way. This book solves the above practical problems in a rigorous way, showing what degree of approximation is used in approximate formulas. In addition the book gives a sound view on a matter that is presently occupying scientific associations, namely the unification of the global and regional height reference systems. It provides the mathematical background as well as the state of the art of its implementation. It will be particularly useful for professionals and national agencies.





Authors and Affiliations

  • Department of Civil and Environmental Engineering (DICA), Politecnico di Milano, Milan, Italy

    Fernando Sansò, Mirko Reguzzoni, Riccardo Barzaghi

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