UDC: 
DOI: 
10.22389/0016-7126-2021-977-11-2-7
1 Penev P.D.
2 Peneva E.P.
Year: 
№: 
977
Pages: 
2-7

University of Architecture, Civil Engineering and Geodesy

1, 
2, 
Abstract:
The authors propose to derive the formulas given in [1, 2] for determining the height and latitude based on the Cartesian rectangular coordinates X, Y, Z, giving an accuracy for the geodetic height H of 1 mm for heights up to 50 km and for geodetic latitude B of 0,0001 arc seconds for H < 10 km. The formulas proposed in [1, 2] apply to all values of latitude and longitude (B and L). In [3], we propose two new formulas for H and B. In this paper, it is shown that the formulas proposed in [3] apply to points of ellipsoid surface and points with geodetic latitude of 0° and 90°. For the same formulas proposed in [3], the corrections are derived to ensure an accuracy of H of 1 mm at H ≤ 10 km, which apply to all values of B and L. Basing on the presented geometric conclusions, calculations and analyzes, a new solution for H and B respectively is proposed for given X, Y, Z, which provides an accuracy for H less than 1 mm for H ≤ 100 km and for B of 0,0001 arc seconds for H ≤ 50 km.
The authors' special thanks to candidate of technical sciences V.V Popadyov for his attention to the work and valuable suggestions.
References: 
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Citation:
Penev P.D., 
Peneva E.P., 
(2021) Determination of the geodetic latitude and height by spatial geocentric coordinates. Geodesy and cartography = Geodezia i Kartografia, 82(11), pp. 2-7. (In Russian). DOI: 10.22389/0016-7126-2021-977-11-2-7
Publication History
Received: 11.08.2020
Accepted: 29.09.2021
Published: 20.12.2021

Content

2021 November DOI:
10.22389/0016-7126-2021-977-11

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