Abstract
A method for determining the increments of coordinates of objects on a plane using the results of linear and angular measurements by geodetic instruments is considered. It is shown that the errors in determining the directional angle depend on the formulas used to calculate it and may differ by a factor of two. These differences must be taken into account when estimating errors in determining coordinate increments. The limits of errors in determining coordinate increments are revealed and it is established that in practice their maximum values are determined only by coordinate errors and the selected (set) conditions of these definitions.
Keywords
criterion of negligible errors, coordinate increments, coordinate systems
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For citation
Denisenko O.V., Eremin E.V., Mazurkevich A.V. On errors in determining coordinate increments based on the results of linear and angular measurements by geodetic instruments.
Almanac of Modern Metrology. 2026; 45 (1): 8–20.
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The authors declare that no grants or other external sources of funding were used to conduct the research reported in this article.
Contribution of the authors
The authors contributed significantly to the writing of this article.
Conflict of interest
The authors declare that they have no conflict of interest related to the research presented in this article.
This work is licensed under a Creative Commons Attribution 4.0 License (CC BY 4.0)
©
Oleg V. Denisenko, Evgeny V. Eremin, Andrey V. Mazurkevich, 2026
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