scholarly journals On Numerical methods for determination of Earth gravity field model using mass satellite gravity gradiometry data

2012 ◽  
Vol 3 (1) ◽  
pp. 57-62
Author(s):  
Zhu Guangbin ◽  
Chang Xiaotao ◽  
Li Xinfa ◽  
Zhang Xinhang ◽  
Li Yuxing
2008 ◽  
Vol 51 (5) ◽  
pp. 967-975 ◽  
Author(s):  
Zheng-Tao WANG ◽  
Jian-Cheng LI ◽  
Wei-Ping JIANG ◽  
Ding-Bo CHAO

2005 ◽  
Vol 79 (8) ◽  
pp. 467-478 ◽  
Author(s):  
B. Tapley ◽  
J. Ries ◽  
S. Bettadpur ◽  
D. Chambers ◽  
M. Cheng ◽  
...  

2003 ◽  
Vol 31 (8) ◽  
pp. 1883-1888 ◽  
Author(s):  
Ch Reigber ◽  
P Schwintzer ◽  
K.-H Neumayer ◽  
F Barthelmes ◽  
R König ◽  
...  

2005 ◽  
Vol 39 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Christoph Reigber ◽  
Roland Schmidt ◽  
Frank Flechtner ◽  
Rolf König ◽  
Ulrich Meyer ◽  
...  

2020 ◽  
Author(s):  
Geng Gao ◽  
Xiancai Zou ◽  
Shoujian Zhang ◽  
Bingshi Liu

<p>Precise LEO satellite orbit determination(OD) and Earth gravity field modeling are researched in this study.</p><p>Firstly, on the basis of Precise Point Positioning Ambiguity Resolution(PPPAR), a kinematic LEO satellite OD algorithm based on the epoch-difference and post-facto iteration is introduced, which plays a vital rule in the detection of the phase cycle slip to achieve the best orbit accuracy. The experiments of GRACE satellite OD with zero-difference IF combination observations spanning one year of 2010 show that, compared to the JPL reference orbits, the daily average 3D RMS is generally below 5.0cm for the float solution, while that is below 4.0cm for the fixed solution.</p><p>Secondly, to solve the problem that specific a-priori information like earth gravity field model must be involved in LEO’ reduced dynamic OD, the simultaneous solution method, which is specially on the relation with the kinematic OD and reduced dynamic OD, is used and the carrier-range, which can be recovered from phase observations once the kinematic OD process using Integer Ambiguity Resolution (IAR) technology is carried out, is naturally applied to this method. With the experiments based on the data over a period of the year of 2010, comes some evacuations, including the external checks on the accuracy of the orbits and the analysis on the earth gravity model. The numerical results show that, compared to the JPL reference orbits, the 3D RMS is below 3.0cm and the RMS is below 2.0cm for each component. As for the accuracy of gravity field model, compared to some contemporary significant earth gravity model, the model of the single month solution behaves very well below the 60 degree of the gravity field’s coefficients, while over the 60 degree, only the UTCSR model quite corresponds to the model computed by this method. Therefore, due to the promotion of the orbital accuracy and gravity field model, we suggest that the recovered carrier-range should be implemented in the simultaneous method for the better product solution of the LEO’s missions.</p>


2009 ◽  
Vol 44 (4) ◽  
pp. 131-148 ◽  
Author(s):  
M. Eshagh

Spatially Restricted Integrals in Gradiometric Boundary Value ProblemsThe spherical Slepian functions can be used to localize the solutions of the gradiometric boundary value problems on a sphere. These functions involve spatially restricted integral products of scalar, vector and tensor spherical harmonics. This paper formulates these integrals in terms of combinations of the Gaunt coefficients and integrals of associated Legendre functions. The presented formulas for these integrals are useful in recovering the Earth's gravity field locally from the satellite gravity gradiometry data.


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