Standard deviation of the geodetic quadrilateral point coordinates determined by the application of Hansen's method

Standardna odstupanja koordinata tačaka geodetskog četvorougla određenih primenom Hanzenovog postupka

Authors

  • Aleksandar Ganić University of Belgrade – Faculty of Mining and Geology
  • Aleksandar Milutinović University of Belgrade – Faculty of Mining and Geology
  • Zoran Gojković University of Belgrade – Faculty of Mining and Geology
  • Radenko Mikanović University of Banja Luka – Faculty of Mine Engineering
  • Nebojša Vidanović University of Belgrade – Faculty of Mining and Geology

DOI:

https://doi.org/10.5937/podrad1526055G

Keywords:

geodetic quadrilateral; Hansen's problem; standard deviation

Abstract

  The Danish astronomer Peter Andreas Hansen, who also worked on theoretical geodesy, provided an original solution for solving the geodetic quadrilateral in which the four angles and the length of one side are known. This procedure, identified in scientific literature as Hansen's problem, has been applied in geodesy but significantly more so when solving various problems related to mining measurements in underground exploitation. Nonetheless, the literature does not cover the determining of the standard deviation of the coordinates of unknown points which are established using Hansen's method. In this paper then, equations are derived to calculate the standard deviation of the coordinates determined by the above mentioned procedure.

References

BATURIĆ, J. (1959) Rudarska mjerenja II dio . Zagreb: Tehnička knjiga. CHANDRA, A.M. (2005) Surveying . New Delhi: New Age International (P) Ltd.

MIHAILOVIĆ, K. (1987) Geodezija II, I deo . Beograd: Naučna knjiga.

PATARIĆ, M. (1990) Rudarska merenja I deo . Beograd: Rudarsko-geološki fakultet.

SCHOFIELD, W. and BREACH, M. (2007) Engineering Surveying . Oxford: Elsevier. Two Survey Problems [Online]. Available from: http://www2.washjeff.edu/users/mwoltermann/Dorrie/40.pdf [Accessed 12/03/15].

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Published

2015-06-30

Issue

No. 26 (2015)

Section

Articles

How to Cite

Standard deviation of the geodetic quadrilateral point coordinates determined by the application of Hansen’s method: Standardna odstupanja koordinata tačaka geodetskog četvorougla određenih primenom Hanzenovog postupka. (2015). Podzemni Radovi, 26, 55-64. https://doi.org/10.5937/podrad1526055G

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