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Precise height determination using simultaneous-reciprocal trigonometric levelling

Ayhan Ceylan, Orhan Baykal

Open publisher page 15 citations

Abstract

Precise levelling method has been used for the determination of precise height for many years. The application of this technique is difficult, time consuming and expensive especially in rough terrains. These difficulties have forced researchers to examine alternative methods of height determination.As a result of modern technological developments for high-tech instruments, research of the precision trigonometric levelling has been required once again. In this study, simultaneous-reciprocal trigonometric levelling (SRTL) method is applied with different sight distances in order to determine optimum sight distances using a sample test network in Selcuk University Campus, Konya, Turkey. The results are compared with precise geometric levelling in terms of precision, cost and feasibility. SRTL method for sight distance S=200m resulted with the standard deviations of ±1.86 mm / √ km and with the production speed of 4 km/day.

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What this paper is about

Precise levelling method has been used for the determination of precise height for many years. The application of this technique is difficult, time consuming and expensive especially in rough terrains. These difficulties have forced researchers to examine alternative methods of height determination.As a result of modern technological developments for high-tech instruments, research of the precision trigonometric levelling has been required once again. In this study, simultaneous-reciprocal trigonometric levelling (SRTL) method is applied with different sight distances in order to determine optimum sight distances using a sample test network in Selcuk University Campus, Konya, Turkey. The results are compared with precise geometric levelling in terms of precision, cost and feasibility. SRTL method for sight distance S=200m resulted with the standard deviations of ±1.86 mm / √ km and with the production speed of 4 km/day.

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Available abstract

Precise levelling method has been used for the determination of precise height for many years. The application of this technique is difficult, time consuming and expensive especially in rough terrains. These difficulties have forced researchers to examine alternative methods of height determination.As a result of modern technological developments for high-tech instruments, research of the precision trigonometric levelling has been required once again. In this study, simultaneous-reciprocal trigonometric levelling (SRTL) method is applied with different sight distances in order to determine optimum sight distances using a sample test network in Selcuk University Campus, Konya, Turkey. The results are compared with precise geometric levelling in terms of precision, cost and feasibility. SRTL method for sight distance S=200m resulted with the standard deviations of ±1.86 mm / √ km and with the production speed of 4 km/day.

Key concepts: Levelling, Trigonometry, Sight, Geodesy, Mathematics, Reciprocal, Sample (material), Geography

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