On errors in determining coordinate increments based on the results of linear and angular measurements by geodetic instruments

Oleg V. Denisenko1,
Evgeny V. Eremin2,
Andrey V. Mazurkevich3*

1, 2, 3 FSUE “VNIIFTRI”, Mendeleevo, Moscow region, Russia
1 denisenko@vniiftri.ru, SPIN-code: 2522-9286, ORCID: 0000-0002-2943-2435, Scopus ID: 55544711300
2 e_eremin@mail.ru, ORCID: 0009-0007-6084-4271, Scopus ID: 16405256000
3 avm@vniiftri.ru ( *corresponding author), ORCID: 0009-0004-3731-9629, Scopus ID: 58074023400

Al’manac of Modern Metrology № 1 (45) 2025, pages 8–20

The page of the article in Russian

Original article

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

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.

Funding. 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 interests. The authors declare that they have no conflict of interest related to the research presented in this article.

References

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2. Smirnov N.V., Belugin D.A. Probability Theory and Mathematical Statistics in Geo­desy. Moscow: Nedra; 1969. 379 p. (In Russ.)

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7. Popov V.N., Chekalin S.I. Geodesy: textbook for higher education institutions. Moscow: Gornaya kniga; 518 p. (In Russ.)

The article was submitted 30.12.2025; approved after reviewing 12.01.2026; accepted for publication 27.01.2026.

Full texts of articles are available only in Russian in printed issues of the magazine.

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