Technology of the determination of the Earth gravitational field parameters from gradiometric measurements. 5. Derivatives computation of the tensor gravity components on the harmonic coefficients estimation

Geodesy
UDC: 
528.3
DOI: 
10.22389/0016-7126-2016-917-11-20-23
1 Kluykov A.A.
Year: 
2016
№: 
11
917
Pages: 
20–23

Astronomy Institute, RAS

1, 
Continued. See: 
Kluykov A.A. (2014) The Technology to determine parameters of gravitation field of the Earth using gradient metrical measurements. 1. GOCE project data and strategy of its processing. Geodezia i Kartografia, 890(8), pp. 6-12.
Kluykov A.A. (2015) The Technology to determine parameters of gravity field of the Earth using gradient and metrical measurements. 2. Systems of coordinate and time in the space gradientmetry. Geodezia i Kartografia, 895(1), pp. 4-11.
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, 896(2), pp. 7-11.
Abstract:
This publication is the fifth of a series of articles devoted to the description of technology of determination the parameters of a gravitational field of Earth on gradiometric measurements. This article presents the computation algorithm of observation equation coefficients and the formulas for transformation these coefficients from LNOF to GRF. For the optimal gravity harmonic coefficients computation it is need to make «observation minus computation» and the observation equation coefficients filtering. Then presents technology of parameters gravity field estimation by least square method. Using the matrix of observation equation coefficients and the differences: the measured components of tenzor gravity minus the computed components of tenzor gravity, we can determine of the parameters of Earth gravity field.
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.   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. Geodezia i Kartografia, (2), pp. 17–20. (In Russian). DOI: 10.22389/0016-7126-2016-908-2-17-20.
3.   Weiyong Yi (2012) An alternative computation of a gravity field model from GOCE. Advances in Space Research, Volume 50, pp. 371–384.
Citation:
Kluykov A.A., 
(2016) Technology of the determination of the Earth gravitational field parameters from gradiometric measurements. 5. Derivatives computation of the tensor gravity components on the harmonic coefficients estimation. Geodesy and cartography = Geodezia i Kartografia, (11), pp. 20–23. (In Russian). DOI: 10.22389/0016-7126-2016-917-11-20-23
Publication History
Received: 24.05.2016
Accepted: 29.07.2016
Published: 21.12.2016

Content

2016 November DOI:
10.22389/0016-7126-2016-917-11