Use of a Least Squares with Conditional Equations Method in Positioning a Tramway Track in the Gdansk Agglomeration

¹ Gdynia Maritime University, Gdynia, Poland
² University of Warmia and Mazury in Olsztyn, Olsztyn, Poland
³ Gdańsk University of Technology, Gdańsk, Poland

DOI: 10.12716/1001.13.04.25

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Times cited (SCOPUS): 5

ABSTRACT: Satellite measurement techniques have been used for many years in different types of human activity, including work related to staking out and making use of rail infrastructure. First and foremost, satellite techniques are applied to determine the tramway track course and to analyse the changes of its position during its operation. This paper proposes using the least squares with conditional equations method, known in geodesy (LSce). When applied, this method will allow for improvement of the final determination accuracy. This paper presents a simplified solution to the LSce alignment problem. The simplification involves replacement of the parameter binding equations with equivalent observational equations with properly selected weights. The results obtained with such a solution were demonstrated with a randomly selected section of a tramway track in Gdańsk. The article presents the theoretical foundations of the test method, the experiment organisation and the results obtained with MathCad Prime 3.0 software. It also presents the outcome of a study associated with the execution of the project No POIR.04.01.01-00-0017/17 entitled “Developing an innovative method of precision determination of a rail vehicle trajectory” executed by a consortium of the Gdańsk University of Technology and Gdynia Maritime University.

KEYWORDS: Global Positioning System (GPS), Least Squares Method (LSQ), Conditional Equations Method, Tramway Track, Gdansk Agglomeration, MathCad, Rail Vehicle Trajectory, SatNav Receiver

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Citation note:

Czaplewski K., Specht C., Dąbrowski P., Specht M., Wiśniewski Z., Koc W., Wilk A., Karwowski K., Chrostowski P., Szmagliński J.: Use of a Least Squares with Conditional Equations Method in Positioning a Tramway Track in the Gdansk Agglomeration. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 13, No. 4, doi:10.12716/1001.13.04.25, pp. 895-900, 2019

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