Abstract:The effects of satellite ground track changes of GRACE on monthly gravity field recoveries are investigated. In the case of a gravity field recovery using a relatively short period of a month or so, the variation of ground tracks affects the precision of the gravity field solutions. It is a serious problem when the solutions are employed for detecting temporal gravity changes which are almost at their detection limits. In this study, the recoveries of four-weekly gravity fields are simulated and the relation b… Show more
“…Figure 9 shows the derived mass variation in the combined area of the four rivers based on the three new data sets. Yamamoto et al, 2005). In this period, the resolution of the GRACE monthly field is significantly degraded to only about degree 30 (Wagner et al, 2006).…”
We estimated mass variations in four major river basins-the Mekong, Irrawaddy, Salween and Chao Phraya river basins-of the Indochina Peninsula using the newly released GRACE (Gravity Recovery and Climate Experiment) monthly gravity field solutions of UTCSR RL02 (University of Texas at Austin, Center for Space Research Release 02), JPL RL02 (Jet Propulsion Laboratory Release 02) and GFZ RL03 (GeoForschungsZentrum Potsdam Release 03). The estimated variations were compared with that calculated from a numerical model. The results show that there is a good agreement between the GRACE estimations and the model calculation for the Mekong and Irrawaddy basins, while the aggreement for the Salween and Chao Phraya basins is poor, mainly due to the spatial scale of the areas concerned. The comparison over the combined area of the four river basins shows fairly good agreement, although there are small quantitative discrepancies. The amplitudes of the annual signals of the GRACE solutions are 0.9-to 1.4-fold larger than that of the hydrological model, and the phases are delayed about 1 month compared with the model signal. The phase differences are probably due to improper treatments of the groundwater storage process in the hydrological model, suggesting that the GRACE data possibly provide constraints to the model parameters.
“…Figure 9 shows the derived mass variation in the combined area of the four rivers based on the three new data sets. Yamamoto et al, 2005). In this period, the resolution of the GRACE monthly field is significantly degraded to only about degree 30 (Wagner et al, 2006).…”
We estimated mass variations in four major river basins-the Mekong, Irrawaddy, Salween and Chao Phraya river basins-of the Indochina Peninsula using the newly released GRACE (Gravity Recovery and Climate Experiment) monthly gravity field solutions of UTCSR RL02 (University of Texas at Austin, Center for Space Research Release 02), JPL RL02 (Jet Propulsion Laboratory Release 02) and GFZ RL03 (GeoForschungsZentrum Potsdam Release 03). The estimated variations were compared with that calculated from a numerical model. The results show that there is a good agreement between the GRACE estimations and the model calculation for the Mekong and Irrawaddy basins, while the aggreement for the Salween and Chao Phraya basins is poor, mainly due to the spatial scale of the areas concerned. The comparison over the combined area of the four river basins shows fairly good agreement, although there are small quantitative discrepancies. The amplitudes of the annual signals of the GRACE solutions are 0.9-to 1.4-fold larger than that of the hydrological model, and the phases are delayed about 1 month compared with the model signal. The phase differences are probably due to improper treatments of the groundwater storage process in the hydrological model, suggesting that the GRACE data possibly provide constraints to the model parameters.
“…On the other hand, they can cause a degradation of the overall performance due to an insufficient spatial sampling. The influence of the ground track on the quality of the solution attracted first attention for the low-low satellite-to-satellite tracking mission GRACE and has been investigated by Yamamoto et al (2005) using simulated data. Wagner et al (2006) compared the severe loss of accuracy of monthly solutions to degree and order 120 of published GRACE solutions during the 61 /4-resonance orbit in September 2004 to theoretical error estimates from linear perturbation theory.…”
Section: Introductionmentioning
confidence: 99%
“…These analytical approaches are often amended by numerical investigations, e.g. Yamamoto et al (2005); Bezděk et al (2009Bezděk et al ( , 2010 Equation (1) is generally accepted as the Nyquist ruleof-thumb for mapping geopotential functions of a planet, often also referred to as the Colombo-Nyquist rule-of-thumb, which connects the spatial resolution with the sampling. It found wide-spread application in the orbit design and recovery of the gravity field, e.g.…”
One of the limiting factors in the determination of gravity field solutions is the spatial sampling. Especially during phases, when the satellite repeats its own track after a short time, the spatial resolution will be limited. The Nyquist rule-of-thumb for mapping geopotential functions of a planet, also referred to as the Colombo-Nyquist rule-ofthumb, provides a limit for the maximum achievable degree of a spherical harmonic development for repeat orbits. We show in this paper that this rule is too conservative and solutions with better spatial resolutions are possible. A new rule is introduced which limits the maximum achievable order (not degree!) to be smaller than the number of revolutions if the difference between the number of revolutions and the number of nodal days is of odd parity and to be smaller than half the number of revolutions if the difference is of even parity. The dependence on the parity is reflected in the eigenvalue spectrum of the normal matrix and becomes especially important in the presence of noise. The rule is based on applying the Nyquist sampling theorem separately in North-South and East-West direction. This is only possible for satellites in highly inclined orbits like e.g. CHAMP and GRACE. Tables for these two satellite missions are also provided which indicate the passed and (in case of GRACE) expected repeat cycles and possible degradations in the quality of the gravity field solutions.
“…Since the successful launching of the first Sputnik-1 satellite on October 4, 1957, many scholars have carried out all kinds of wide-ranging and extensive studies on satellite gravity measurement. [1][2][3][4][5][6][7][8][9][10][11][12][13][14] The Earth's static and timevarying gravitational field can reflect the spatial distribution, movement and alteration of materials on and inside the Earth, and can dominate the undulation and changes of the geoid. Accordingly, investigating the detailed configuration and time-variable characteristics of the Earth's gravitational field not only is required for satellite geodesy, space science, astronautics, geophysics, seismology, oceanography, and so on, but also provides important information for resource exploration, environmental protection and disaster monitoring.…”
Different from calibrations previously conducted using the dynamic method, the GRACE-Level-1B non-conservative force data from the space-borne accelerometers between 1 January to 31 December, 2009, released by the Jet Propulsion Laboratory in the United States of America, is for the first time ever effectively calibrated using the priori Earth gravitational field model based on an improved energy conservation principle. The results are shown as follows: 1) The non-conservative force data from the space-borne accelerometers and attitude data from the star camera assembly are basically the same as the anticipated accuracies; 2) the systematic error of the raw non-conservative force data leads to a disturbed geopotential error linear drift of about 0.4 m 2 /s 2 per day, however, the error is only 0.01 m 2 /s 2 using the calibrated non-conservative force data, and a reasonable physical explanation is provided; 3) the advantages and disadvantages of calibrating non-conservative force data using the energy conservation principle and dynamic method are compared in detail; and 4) because the signal of the Earth's gravitational field is sensitive to the systematic error of non-conservative force data from the space-borne accelerometers, the precise calibration of non-conservative force data is a key factor for the highly accurate recovery of the Earth gravitational field with high spatial resolution.
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