000 02260 a2200217 4500
020 _a9040719748
020 _a9789040719745
040 _cIIT Kanpur
041 _aeng
082 _a526.3
_bT297a
100 _aTeunissen, P. J. G.
245 _aAdjustment theory
_ban introduction
_cP. J. G. Teunissen
260 _bDelft Academic Press, VSSD
_c2003
_aThe Netherlands
300 _a193p
440 _aSeries on mathematical geodesy and positioning
520 _aAdjustment theory can be regarded as the part of mathematical geodesy that deals with the optimal combination of redundant measurements together with the estimation of unknown parameters. It is essential for a geodesist, its meaning comparable to what mechanics means to a civil engineer or a mechanical engineer. Historically, the first methods of combining redundant measurements originate from the study of three problems in geodesy and astronomy, namely to determine the size and shape of the Earth, to explain the long-term inequality in the motions of Jupiter and Saturn, and to find a mathematical representation of the motions of the Moon. Nowadays, the methods of adjustment are used for a much greater variety of geodetic applications, ranging from, for instance, surveying and navigation to remote sensing and global positioning. The two main reasons for performing redundant measurements are the wish to increase the accuracy of the results computed and the requirement to be able to check for errors. Due to the intrinsic uncertainty in measurements, measurement redundancy generally leads to an inconsistent system of equations. Without additional criteria, such a system of equations is not uniquely solvable. In this introductory course on adjustment theory, methods are developed and presented for solving inconsistent systems of equations. The leading principle is that of least-squares adjustment together with its statistical properties. In this introductory text the methodology of adjustment is emphasized, although various samples are given to illustrate the theory. The methods discussed form the basis for solving different adjustment problems in
650 _aGeodesy -- Mathematical models
650 _aAdjustment theory
650 _aGeodesy
942 _cBK
999 _c561096
_d561096