Determining the parameters of a local coordinate system with a non-standard longitude of the central meridian. Ways to improve the accuracy of determining parameters

Geodesy
UDC: 
528.236
DOI: 
10.22389/0016-7126-2021-972-6-2-9
1 Vinogradov A.V.
Year: 
2021
№: 
6
972
Pages: 
2-9

Omsk State Agrarian University named after P.A. Stolypin

1, 
Abstract:
Improving the accuracy of calculating the longitude of the axial meridian, the coordinates of the starting point and the height of the local coordinate system is achieved through introducing an intermediate coordinate system. The longitude of the axial meridian of the intermediate coordinate system is chosen equal to the approximate value of the longitude of the axial meridian of the local coordinate system. The difference in longitudes of the axial meridians of the state coordinate system and the intermediate coordinate system is known. The final value of the axial meridian`s longitude of the local coordinate system relative to the longitude of the axial meridian of the state coordinate system is calculated as the sum of two longitude differences. The first is the difference between the axial meridians of the local and the intermediate coordinate systems; the second is the difference in longitudes between the axial meridians of the intermediate and the state system. The residual errors of the mathematical apparatus for calculating the longitude of the axial meridian are less than 0.005 arc seconds. The proposed technology has been tested at real works.
References: 
1.   Afonin K. F. Vysshaya geodeziya. Sistemy koordinat i preobrazovaniya mezhdu nimi: Ucheb.-metod. posobie. Novosibirsk: SGGA, 2011, 56 p.
2.   Bojko E.G. Vysshaya geodeziya: Ch. II. Sferoidicheskaya geodeziya. M.: Kartgeocentr – Geodezizdat, 2003, 144 p.
3.   Butovich Yu. K., Erukov S. V., Ivanov V. I., Pobedinskaya O. V. Kompleksnyi podkhod k sozdaniyu mestnykh sistem koordinat. Informatsionnyi byulleten' GIS-Assotsiatsii, 2001, no. 2 (29)–3 (30), pp. 57–58.
4.   Vinogradov A.V. (2007) Analysis of some ways to convert point coordinates from system to system. Geodesy and cartography, 68(10), pp. 31–36.
5.   Vinogradov A.V. (2020) Determining the parameters of a local coordinate system with a non-standard longitude of the central meridian. Analysis of existing methods. Geodezia i Kartografia, 81(6), pp. 2-12. (In Russian). DOI: 10.22389/0016-7126-2020-960-6-2-12.
6.   Gerasimov A.P., Nazarov V.G. Mestnye sistemy koordinat. M.: OOO «Izdatel'stvo «Prospekt», 2010, 64 p.
7.   Gorobets V. P., Dem'yanov G. V., Maiorov A. N., Pobedinskii G. G. Sistemy koordinat. GLONASS i geodeziya, Moskva: Tsentr geodezii, kartografii i IPD, 2016, pp. 16–28.
8.   Grinberg G.M. Matematicheskaya obrabotka gorodskih geodezicheskih setej. M.: Nedra, 1992, 192 p.
9.   Morozov V.P. Kurs sferoidicheskoj geodezii. Izd. 2-e, pererab. i dop. M.: Nedra, 1979, 295 p.
10.   Nasretdinov K. K. Eshche odin sposob opredeleniya klyuchei mestnoi sistemy koordinat. Geodezist, 2002, no. 4, pp. 20–21.
11.   Pobedinskii G.G., Kaftan V.I. Sistemy koordinat global’nye, kontinental’nye, regional’nye, natsional’nye: sostoyanie, problemy, perspektivy. Nauki o zemle, 2020, no. 3, pp. 4–59.
12.   Podshivalov V. P. Otsenka parametrov preobrazovaniya koordinat na ploskosti metodom naimen'shikh kvadratov. Avtomatizirovannye tekhnologii izyskanii i proektirovaniya, 2010, no. 4 (39), pp. 69–72.
13.   Podshivalov V. P., Kuz'mich V. A. Analiz tochnosti preobrazovaniya sistem koordinat metodom naimen'shikh kvadratov. Vestnik Polotskogo gosudarstvennogo universiteta. Ser. F. Stroitel'stvo. Prikladnye nauki. Geodeziya, 2013, no. 16, pp. 109–116.
14.   Rukovodstvo po matematicheskoi obrabotke geodezicheskikh setei i sostavleniyu katalogov koordinat i vysot punktov v gorodakh i poselkakh gorodskogo tipa. Moskva: GUGK SSSR, 1990, 376 p.
15.   Rukovodstvo po sozdaniyu i rekonstruktsii gorodskikh geodezicheskikh setei s ispol'zovaniem sputnikovykh sistem GLONASS/GPS. Moskva: TsNIIGAiK, 2003, 182 p.
16.   Trevogo I. S., Shevchuk P. M. Gorodskaya poligonometriya [Cities traversing]. M.: Nedra, 1986, 200 p.
17.   Fedoseev Yu. E., Lebedev S. V., Kupriyanov A. O., Kuznetsov S. P. Obosnovanie razrabotki metodiki rekonstruktsii mestnykh sistem koordinat na territoriyakh gorodov vysokourbanizirovannykh raionov s ispol'zovaniem sputnikovykh metodov. Izvestiya Vuzov «Geodesy and aerophotosurveying», 2014, no. 1, pp. 13–18.
18.   Hristov V.K. Koordinaty Gaussa – Kryugera na ehllipsoide vrashcheniya. M.: Geodezizdat, 1957, 264 p.
19.   Adewale Adebayo, Emenari Udochukwu S., Amusuk Danboyi Joseph (2014) Coordinate Transformation of Birnin Kebbi. The International Journal of Engineering and Science, Volume 3, no. 11, pp. 62–70.
20.   Weiss G., Labant S., Weiss E., Mixtaj L., Schwarczová H. (2009) Establishment of Local Geodetic Nets. Acta Montanistica Slovaca, no. 14 (4), pp. 306–313.
Citation:
Vinogradov A.V., 
(2021) Determining the parameters of a local coordinate system with a non-standard longitude of the central meridian. Ways to improve the accuracy of determining parameters. Geodesy and cartography = Geodezia i Kartografia, 82(6), pp. 2-9. (In Russian). DOI: 10.22389/0016-7126-2021-972-6-2-9
Publication History
Received: 18.10.2019
Accepted: 23.03.2021
Published: 20.07.2021

Content

2021 June DOI:
10.22389/0016-7126-2021-972-6