Določitev odklonov navpičnic iz geoidnih višin

Kuhar, Miran (author), Okorn, Marta (author), Stopar, Bojan (author)

Model geoida je eden od sestavnih delov državnega koordinatnega sistema. Poleg dokaj razširjenega določanja nadmorskih višin na podlagi GNSSizmere pa model geoida zagotavlja tudi kakovostno vključitev terestričnih geodetskih opazovanj v državni koordinatni sistem. Za GNSS-višinomerstvo je treba na podlagi modela geoida določiti geoidne višine, pri terestrični geodetski izmeri pa je poleg geoidnih višin treba določiti tudi vrednosti odklonov navpičnic. Določitev geoidne višine na podlagi modela geoida je v praksi zelo razširjena naloga, medtem ko se z določitvijo vrednosti odklonov navpičnice v praksi zelo redko srečamo. V prispevku predstavljamo metodo določitve vrednosti odklonov navpičnice z določitvijo lege tangencialne ravnine glede na ploskev geoida v točki. Lego tangencialne ravnine glede na elipsoid, s katerim je podan tudi odklon navpičnice v točki, izračunamo na podlagi interpoliranih geoidnih višin v neposredni okolici obravnavane točke. V prispevku smo kakovost računsko pridobljenih odklonov navpičnic primerjali z merjenimi in celoten postopek ovrednotili na praktičnem primeru.

• Language: Slovenian
• Keywords: geoid, odklon navpičnice, interpolacija, redukcija opazovanj, geoidna ravnina
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publication status: Published
• Publication version: Version of Record
• Publisher: Zveza geodetov Slovenije
• Year: 2010
• Number of pages: Str. 595-605
• Numbering: Let. 54, št. 4
• PID: 20.500.12556/RUL-68398
• ISSN on article: 0351-0271
• DOI: 10.15292/geodetski-vestnik.2010.04.595-605
• COBISS.SI-ID: 5226081

Copyright

V datotekah članka licenca ni navedena. Na pristajalnih straneh članka (Izvorni URL) je navedena licenca CC BY-NC. (Datum opombe: 8. 12. 2022)

• Publication date in RUL: 10.07.2015

KUHAR, Miran, OKORN, Marta and STOPAR, Bojan, 2010, Določitev odklonov navpičnic iz geoidnih višin. Geodetski vestnik. glasilo Zveze geodetov Slovenije [online]. 2010. Vol. 54, no. 4, p. 595–605. [Accessed 25 April 2025]. DOI 10.15292/geodetski-vestnik.2010.04.595-605. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=68398

Record is a part of a journal

• Title: Geodetski vestnik. glasilo Zveze geodetov Slovenije
• Shortened title: Geod. vestn.
• Publisher: Zveza geodetov Slovenije
• ISSN: 0351-0271
• COBISS.SI-ID: 5091842

Licences

• License: CC BY-NC 4.0, Creative Commons Attribution-NonCommercial 4.0 International
• Link: http://creativecommons.org/licenses/by-nc/4.0/
• Description: A creative commons license that bans commercial use, but the users don’t have to license their derivative works on the same terms.

Secondary language

• Language: English
• Title: Determination of deflection of the vertical from geoid heights

Abstract

The geoid model represents part of the national coordinate system. It can be used for the purpose of GNSS-levelling, but the use of geoid heights also improves incorporation of terrestrial observations into the state coordinate system. In GNSS levelling tasks, geoid heights are obtained from the geoid model, but with terrestrial observations the deflection of the vertical is also needed. Determination of geoid heights from the geoid model is a simple engineering task; however, determination of deflection of the vertical is not so common in geodetic practice. The purpose of this paper is to present the local method of establishing the deflections of vertical with the help of a plane, which is calculated on the basis of interpolated geoid heights. The coefficients of the plane give the deflection of the vertical in the point of gravity. This means that, given a known geoid, we can calculate the deflection of the vertical at any point in the region of Slovenia. Comparison of calculated deflections with the measured deflections was performed in order to estimate the accuracy of the proposed procedure. The procedure was tested in the geodetic network with four points.

• Keywords: geoid, deflection of the vertical, interpolation, geoid plane, reduction of observations