2018Archives for Technical SciencesOpen access

DETERMINATION OF AIR REFRACTION INFLUENCE ON TRIGONOMETRIC HEIGHT DIFFERENCES

Milan Trifković, Žarko Nestorović

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Abstract

Efficiency of trigonometric levelling method for height differences determination is better than those determined by geometric levelling but its accuracy is significantly lower. Development of accuracy of geodetic instruments increases possibilities for improvement accuracy of trigonometric levelling.However, air refraction appears as ultimate limitation factor for accuracy of trigonometric heights determination improvement. This paper aims to research the influence of air refraction on accuracy of height differences determined by trigonometric levelling method. Basic statistical hypothesis is that influence of air refraction on height differences is negligible. The case study is based on the results of regular measurements on “Vlasina” dam by using results of geometric and trigonometric levelling.

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Efficiency of trigonometric levelling method for height differences determination is better than those determined by geometric levelling but its accuracy is significantly lower. Development of accuracy of geodetic instruments increases possibilities for improvement accuracy of trigonometric levelling.However, air refraction appears as ultimate limitation factor for accuracy of trigonometric heights determination improvement. This paper aims to research the influence of air refraction on accuracy of height differences determined by trigonometric levelling method. Basic statistical hypothesis is that influence of air refraction on height differences is negligible. The case study is based on the results of regular measurements on “Vlasina” dam by using results of geometric and trigonometric levelling.

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Available abstract

Efficiency of trigonometric levelling method for height differences determination is better than those determined by geometric levelling but its accuracy is significantly lower. Development of accuracy of geodetic instruments increases possibilities for improvement accuracy of trigonometric levelling.However, air refraction appears as ultimate limitation factor for accuracy of trigonometric heights determination improvement. This paper aims to research the influence of air refraction on accuracy of height differences determined by trigonometric levelling method. Basic statistical hypothesis is that influence of air refraction on height differences is negligible. The case study is based on the results of regular measurements on “Vlasina” dam by using results of geometric and trigonometric levelling.

Key concepts: Levelling, Trigonometry, Refraction, Mathematics, Geodetic datum, Geodesy, Geometry, Mathematical analysis

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