A analytical method to high-low satellite-to-satellite tracking (hl-SST) error analysis
Abstract
High-low satellite-to-satellite tracking (hl-SST) is sensitive to the long wavelength part of the gravity field. It is not only the main operation mode of CHAMP, but also the significant complementary part of GRACE and GOCE. The methods of error analysis for hl-SST missions are mainly based on least-squares (LS) theory, which is difficult to directly estimate the effect of the parameters, and the latest and incoming gravitational models with increasing accuracy and resolution makes the computation more difficult since the computation become huge and serious numerical instabilities arise when degree/order of models gets higher. For the reasons mentioned above, a direct relationship between the power spectrum density of satellite hl-SST observations and the coefficients of the Earth's gravity potential is established by using a method based on the principles of hl-SST, the linear perturbations theory and control theory. Then we analysis the effects of GPS and accelerometer measurement errors on the accuracy of the Earth gravity field recovery, which is limited by the accuracy of GPS. This method is effective and direct compared with the others based on the least square approach, and is very useful to design and verify the parameters for the Earth gravity recovery missions. Furthermore, a direct relationship of ll-SST is also being analyzed based on this idea.
- Publication:
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AGU Fall Meeting Abstracts
- Pub Date:
- December 2013
- Bibcode:
- 2013AGUFM.G33B0988C
- Keywords:
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- 1241 GEODESY AND GRAVITY Satellite geodesy: technical issues;
- 1214 GEODESY AND GRAVITY Geopotential theory and determination