Geodetski list, Vol. 66 (89) No. 1, 2012.
Review article
An Analysis of the Impact of Errors Occurring in the Auxiliary Parameters while Determining Geometric Corrections of Distance
Milan Medved
; Coal Mine Velenje, Velenje, Slovenia
Aleksandar Ganić
; Faculty of Mining and Geology, University of Belgrade, Belgrade, Serbia
Milivoj Vulić
orcid.org/0000-0003-1487-5855
; Faculty of Natural Sciences and Engineering, University of Ljubljana, Ljubljana, Slovenia
Abstract
Distance measurement results are hampered by systematic and accidental errors. The influence of systematic errors is reduced or eliminated mostly through the entering of appropriate corrections or through the use of a particular measurement method. A large number of different sources of corrections may be divided into three groups, namely into meteorological, geometric and projection corrections. In this paper, exclusively geometric corrections are explored. The determination of geometric corrections and the elimination of their influence upon measurement results demands knowledge or measurement of various auxiliary parameters. Auxiliary parameters are also hampered by accidental errors, which under the law of propagation of errors affect the precision of the distance measured adjusted for geometric corrections. These are all generally known facts, but due to reasons unknown to the authors, the problematics exposed in this paper have not yet been treated in literature. This paper presents an analysis of the impact of auxiliary parameters on the precision of measured distances that have been adjusted for geometric corrections. Knowing the precision of a distance adjusted in this manner is significant, as the previously listed effects are present in the daily implementation of surveying tasks in the field of precise geodetic measurements and in the calibration of electronic instruments used to measure distances. This paper also presents a detailed example of calculating the impact of geodetic sources and their standard deviations on the precision of an electronically measured distance. In addition, this paper can also serve as a detailed general instruction manual for everyday professional application during precision distance measurements.
Keywords
electronic distance measurement; geometric corrections; standard deviation
Hrčak ID:
87073
URI
Publication date:
14.3.2012.
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