A method of infallible angular measurements representing the results of independent equally accurate directions` number

Author:

Astapovich A.V.1ORCID

Affiliation:

1. Military Space academy named after A.F. Mozhaisky (MSА named after A.F. Mozhaisky)

Abstract

The author analyzes the most commonly practiced methods of measuring horizontal angles. Based on the regularity of affecting the results of equalizing calculations at the station by systematic errors, a new method of measuring horizontal angles in all combinations over the entire horizon is justified and proposed. It eliminates constant mistakes and enables presenting the results in the form of independent equally accurate directions amount. The method is of great practical importance for solving a wide range of scientific and practical tasks in all combinations over the entire horizon. In particular it is for metrological testing angle measuring devices in the field; development of high-precision special multipurpose geodetic networks; for designing measurement software with high-precision electronic total stations and theodolites and some other tasks.

Publisher

FSBI Center of Geodesy, Cartography, and SDI

Subject

Computers in Earth Sciences,Earth-Surface Processes,Geophysics

Reference9 articles.

1. Astapovich A. V., Bogachev A. N., Makarov S. A. Teoriya matematicheskoi obrabotki izmerenii. Ch. 2. Metod naimen'shikh kvadratov: Ucheb. posobie. SPb.: VKA im. A. F. Mozhaiskogo, 2015, 106 p.

2. Gajdaev P.A., Bol'shakov V.D. Teoriya matematicheskoj obrabotki geodezicheskih izmerenij. Izd. 2-e, pererab. i dop.. M.: Nedra, 1977, 367 p.

3. Bol'shakov V. D., Markuze Ju. I., Golubev V. V. Uravnivanie geodezicheskih postroenij: Sprav. posobie. Moskva: Nedra, 1989, 413 p.

4. Bryn M.Ya., Lobanova Yu.V., Afonin D.A., Shevshenko G.G. (2021) Evaluating the accuracy of determining the points’ position by free stationing method . Geodezia i Kartografia, 82(5), pp. 2-9. (In Russian). DOI: 10.22389/0016-7126-2021-971-5-2-9.

5. Gubanov V. S. Obobshchennyi metod naimen'shikh kvadratov. Teoriya i primenenie v astrometrii. SPb.: Nauka, 1997, 318 p.

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