Rigorous Adjustment of a Traverse [antikvár]

RIGOROUS ADJUSTMENT OF A TRAYERSE I. Bánhegyi and E. Papp Department of Geodesy, Institute of Geodesy, Surveying and Photogrammetry Technieal University, H-1521, Budapest Reeeived July 20, 1989 Presented by Prof. Dr. P. Bíró Abstract In the first part of this paper computation of traverses tied and oriented at both ends was introduced by means of direct observation, based on the principle of the least squares. In the following part formulas were shown for determining measures of accuracy for surch traverses. After the theoretical chapters, applicibility was proved by means of a numerical example. 1. Introduction "For more than hundred years professional literature has been dealing with adjustment of traversing, and papers discussing methods of optimál adjustment of traversing, could not even be listed here" [1]. One would not be able to find a more appropriate introduction to papers on adjustment of traverses than this first sentence of the quoted work. For this reason there will no list be presented on most important professional works, only somé direetly used works are mentioned in the reference. This papers deals with rigorous adjustment of traverses tied and oriented at both ends. With introducing and spreading EDMs, utilizing traversing on greater lengths came to the front. It is obvious than in case of long traverses besides precise measurements it is important to utilize rigorous adjustments. Up-to-date computational features make possible and continually growing demends require utilizing rigorous methods, algorithms and programs based on least square methods for the purposes of geodetic computations. After describing rigorous adjustment of traverses, determining measures of accuracy will be presented. Intention of this paper is to form a suitable denoting and computational algorithm for computers. Somé formulas will be introduced which are difficult to compute manually while adjustment of direct observations. Such formulas are standard error of co-ordinates of traversing points regarded as unknowns and measures of accuracy computed from them. Utilizing the principle of rigorous adjustment and connecting measures of accuracy will be shown by means of an example.