UDC: 
DOI: 
10.22389/0016-7126-2016-908-2-17-20
1 Kluykov A.A.
Year: 
№: 
908
Pages: 
17–20

Astronomy Institute, RAS

1, 
Abstract:
This publication is the fourth of a series of articles devoted to the description of technology of determination the parameters of a gravitational field of Earth on gradiometric measurements. Step by step components computation algorithm for the coefficients determination and the differences between the measured components of tenzor gravity and computed ones. Firstly, we compute the first and second derivatives of the gravity potential with respect to the spherical coordinates. On the second step we compute the first and second derivatives of the gravity potential with respect to the rectangular coordinates in local north-oriented coordinate system. On the last step we transform the tenzor components from the local north-oriented coordinate system to gradiometric coordinate system. We can obtain the differences: the measured components of tenzor gravity minus the computed components of tenzor gravity in gradiometric coordinate system.
References: 
1.   Kluykov A.A. (2015) Technology of the parameters gravitation field of the Earth determination using gradiometer measurements. 3. Equation of amendments of gradiometer measurements. Geodezia i Kartografia, (2), pp. 7-11. (In Russian). DOI: 10.22389/0016-7126-2015-896-2-7-11.
2.   Bouman J., Ebbing J., Fuchs M. Reference frame transformation of satellite gravity gradients and topographic mass reduction. Journal of Geophysical Research: Solid Earth, Volume 118, pp. 759–774.
3.   Ditmar P., Klees R. (2002) A method to compute the Earth’s gravity field from SGG/SST data to be acquired by GOCE satellite. DUP Science, 6 p.
4.   (2010) GOCE Level 2 Product Data Handbook. GO-MA-HPF-GS-0110. The European GOCE Gravity Consortium, 23 p.
5.   Koop R.J.J. (1993) Global gravity field modelling using satellite gravity gradiometry. Dissertation. Technische Universiteit Delft, pp. 41–44.
6.   Reed G.B. Application on kinematical geodesy for determining the short wave length components of the gravity field by satellite gradiometry. Reports of the Department of Geodetic Science. Report. no. 201, 6 p.
7.   Wermuth M.K. (2008) Gravity Field Analysis from the Satellite Missions CHAMP and GOCE: Ph.D. thesis. Institut fur Astronomische und Physikalische Geodasie, Munich, 100 p.
Citation:
Kluykov A.A., 
(2016) Technology of determination of parameters of a gravitational field of Earth on gradiometric measurements. 4. Computational of components of tenzor gradient of gravitational potential. Geodesy and cartography = Geodezia i Kartografia, (2), pp. 17–20. (In Russian). DOI: 10.22389/0016-7126-2016-908-2-17-20
Publication History
Received: 12.11.2015
Accepted: 22.01.2015
Published: 11.03.2016

Content

2016 February DOI:
10.22389/0016-7126-2016-908-2