Mathematical Models for Horizontal Geodetic Networks
Krakiwsky E.J., Thomson D.B.
Department of Geodesy and Geomatics Engineering, University of New Brunswick, 1978. – 41 p.The purpose of these notes is to give the reader an appreciation for the mathematical aspects related to the establishment of horizontal geodetic networks by terrestrial methods. By terrestrial methods we mean utilizing terrestrial measurements (directions, azimuths, and distances). Vertical networks are not discussed and instrumentation is described only indirectly via the accuracy estimates assigned to the observations.
The approach presented utilizes the well-known aspects of adjustment calculus which allow one to design and analyze geodetic networks. These notes do not provide extensive derivations. The relationships between models for the ellipsoid and models for a conformal mapping are also given.
These notes assume the reader to have a knowledge of differential and integral calculus, matrix algebra, and least squares adjustment calculus and statistics.ContentsPreface
Table of contents
List of figures
Acknowledgements
Introduction
The need of geodetic networks
Distance mathematical model
Azimuth mathematical model
Direction mathematical model
Technique of pre-analysis
References
The approach presented utilizes the well-known aspects of adjustment calculus which allow one to design and analyze geodetic networks. These notes do not provide extensive derivations. The relationships between models for the ellipsoid and models for a conformal mapping are also given.
These notes assume the reader to have a knowledge of differential and integral calculus, matrix algebra, and least squares adjustment calculus and statistics.ContentsPreface
Table of contents
List of figures
Acknowledgements
Introduction
The need of geodetic networks
Distance mathematical model
Azimuth mathematical model
Direction mathematical model
Technique of pre-analysis
References
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