1 Balandin V.N.
2 Matveev A.Yu.
3 Menchikov I.V.

Center of Geodesy, Cartography and SDI


Aerial Survey, PJSC

The matter of reduction of the spatial rectangular coordinates X, Y, Z, measured by satellite equipment, related to the geometric center of the receiver of satellite measurements (CPSI), to by the coordinates of the mark of geodetic points Xp, Yp, Zp is quite topical. In this paper we consider the simplest case of spatial rectangular coordinates reduction, when the satellite receiver is installed above the mark of the point. Currently in topographic-geodetic works in of our country imported satellite receivers: Leica, Trimble, Javad and others are used. Receiver Installation above the mark of the point is performed using the optical plummet or a steel tape measure. Reduction of coordinates is carried out on the program module made on the basis of some algorithm inaccessible for the performer. We have developed a relatively simple algorithm, which can be used by the executor directly for reducing the measured coordinates X, Y, Z to coordinates of mark of points Xp, Yp, Zp.
1.   Balandin V.N., Bryn M.Ya., Menchikov I.V., Firsov Yu.G. (2010) Results presentation of satellite measurements of seabed surface in ice beacon. Geodezia i Kartografia, 71(4), pp. 47– 49.
2.   Balandin V.N., Bryn' M.Ya., Men'shikov I.V., Firsov Yu.G., Shtern S.L. Reshenie zadach geodezii i kartografii v funkciyah prostranstvennyh pryamougol'nyh koordinat. SPb.: Informacionno-izdatel'skij centr pravitel'stva Sankt-Peterburga OAO «Petrocentr», 2013, 112 p.
3.   Boyko Ye.G., Smirnov G.A. (2001) The reduction of measurements to the centers of points in spatial geodetic networks. Geodesy and Cartography, 62(10), pp. 7–10.
4.   Balandin V.N., Bryn M.Ya., Imshenetskiy S.P., Matveev A.Yu., Yuskevich A.V. (2006) Algorithm for calculating the geodetic height by spatial rectangular coordinates. Geodesy and Cartography, 67(6), pp. 15–16.
5.   Инструкция по построению государственной геодезической спутниковой сети. ГКИНП (ГНТА) – издание официальное. М.: Федеральная служба геодезии и картографии России, 2000, 76 p.
Balandin V.N., 
Matveev A.Yu., 
Menchikov I.V., 
(2017) The reduction of satellite measurements to by the coordinates for the marks of determinic points. Geodesy and cartography = Geodezia i Kartografia, 78(6), pp. 55-59. (In Russian). DOI: 10.22389/0016-7126-2017-924-6-55-59
Publication History
Received: 08.12.2016
Accepted: 15.03.2017
Published: 19.07.2017


2017 June DOI:

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