Table 2 List of some common calibration parameters
2008–2017 | 2008–2012 | 2013–2017 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
\(i = 1\) | \(i = 2\) | \(i = 3\) | \(i = 1\) | \(i = 2\) | \(i = 3\) | \(i = 1\) | \(i = 2\) | \(i = 3\) | ||
GRACE-A | \(b_{\text {SA1},i}\ [\text {nT/mA}]\) | 2.77 | 0.86 | 3.57 | 2.41 | \(-\,1.13\) | 2.81 | 1.42 | 3.31 | 5.18 |
\(b_{\text {SA2},i}\ [\text {nT/mA}]\) | 1.71 | \(-\,2.33\) | 9.61 | 2.34 | 0.64 | 4.68 | 1.30 | \(-\,2.33\) | 19.81 | |
\(b_{\text {Batt},i}\ [\text {nT/mA}]\) | \(-\,0.87\) | 1.27 | \(-\,3.41\) | \(-\,1.03\) | 1.94 | \(-\,2.68\) | 0.64 | \(-\,0.32\) | \(-\,5.25\) | |
\(b_{\text {ADC},i}\ [\text {nT}]\) | 3.65 | 0.17 | 0.08 | 3.75 | 0.08 | 0.14 | 3.11 | 0.27 | 0.05 | |
\(M_{1,i}\ [\text {nT/mA}]\) | \(-\,3.060\) | 37.573 | \(-\,36.994\) | \(-\,3.059\) | 37.549 | \(-\,36.943\) | \(-\,3.061\) | 37.595 | \(-\,37.042\) | |
\(M_{2,i}\ [\text {nT/mA}]\) | 2.715 | 5.044 | 1.328 | 2.723 | 5.045 | 1.323 | 2.706 | 5.045 | 1.329 | |
\(M_{3,i}\ [\text {nT/mA}]\) | 22.159 | 0.706 | \(-\,2.576\) | 22.134 | 0.715 | \(-\,2.592\) | 22.188 | 0.701 | \(-\,2.565\) | |
\(\xi _{11}^i\) | \(-\,0.07\) | 0.05 | \(-\,0.20\) | \(-\,0.02\) | 0.09 | \(-\,0.09\) | \(-\,0.09\) | 0.10 | \(-\,0.36\) | |
\(\xi _{22}^i\) | \(-\,2.67\) | \(-\,1.90\) | \(-\,2.18\) | \(-\,3.99\) | \(-\,3.67\) | \(-\,0.84\) | \(-\,1.49\) | 1.15 | \(-\,3.88\) | |
\(\xi _{33}^i\) | 0.29 | \(-\,0.15\) | 0.35 | 0.33 | \(-\,0.12\) | 0.40 | 0.26 | \(-\,0.13\) | 0.27 | |
\(\xi _{12}^i\) | 0.82 | 0.55 | 5.09 | 0.90 | 0.88 | 5.04 | 0.70 | 0.43 | 5.13 | |
\(\xi _{13}^i\) | \(-\,0.07\) | \(-\,7.06\) | \(-\,0.17\) | \(-\,0.17\) | \(-\,7.18\) | \(-\,0.10\) | 0.10 | \(-\,6.88\) | \(-\,0.26\) | |
\(\xi _{23}^i\) | 2.08 | \(-\,0.01\) | \(-\,0.22\) | 2.11 | \(-\,0.19\) | 0.15 | 2.02 | 0.28 | \(-\,0.69\) | |
\(\eta _{111}^i\) | 0.26 | \(-\,0.61\) | 0.04 | 0.23 | \(-\,0.66\) | \(-\,0.04\) | 0.28 | \(-\,0.59\) | 0.11 | |
\(\eta _{222}^i\) | \(-\,1.58\) | \(-\,2.02\) | 0.62 | \(-\,2.19\) | \(-\,1.10\) | 0.28 | \(-\,1.07\) | \(-\,3.12\) | 1.15 | |
\(\eta _{333}^i\) | 0.08 | \(-\,0.01\) | \(-\,0.03\) | 0.11 | \(-\,0.00\) | \(-\,0.02\) | 0.05 | \(-\,0.00\) | \(-\,0.04\) | |
\(\eta _{112}^i\) | \(-\,0.41\) | 0.99 | 0.67 | \(-\,0.68\) | 1.31 | 0.14 | \(-\,0.10\) | 0.79 | 1.25 | |
\(\eta _{113}^i\) | \(-\,0.01\) | \(-\,0.15\) | \(-\,0.08\) | \(-\,0.01\) | \(-\,0.13\) | \(-\,0.09\) | \(-\,0.02\) | \(-\,0.16\) | \(-\,0.08\) | |
\(\eta _{223}^i\) | 0.20 | 0.69 | \(-\,0.29\) | 0.29 | 0.80 | \(-\,0.14\) | 0.14 | 0.68 | \(-\,0.48\) | |
\(\eta _{122}^i\) | 0.18 | \(-\,0.15\) | \(-\,0.01\) | 0.19 | \(-\,0.12\) | \(-\,0.01\) | 0.18 | \(-\,0.18\) | 0.01 | |
\(\eta _{133}^i\) | 0.25 | 0.01 | \(-\,0.14\) | 0.39 | \(-\,0.02\) | \(-\,0.09\) | 0.09 | 0.07 | \(-\,0.19\) | |
\(\eta _{233}^i\) | \(-\,0.12\) | 0.25 | \(-\,0.43\) | \(-\,0.08\) | \(-\,0.25\) | 0.29 | \(-\,0.15\) | 1.08 | \(-\,1.34\) | |
\(\eta _{123}^i\) | 0.11 | \(-\,0.27\) | \(-\,0.23\) | \(-\,0.02\) | \(-\,0.30\) | \(-\,0.16\) | 0.25 | \(-\,0.25\) | \(-\,0.34\) | |
GRACE-B | \(b_{\text {SA1},i}\ [\text {nT/mA}]\) | 1.03 | \(-\,3.20\) | 4.77 | 1.81 | \(-\,1.09\) | 1.97 | 1.12 | \(-\,4.05\) | 5.14 |
\(b_{\text {SA2},i}\ [\text {nT/mA}]\) | 2.61 | 3.66 | 8.41 | 4.02 | \(-\,0.52\) | 4.71 | 1.15 | 9.13 | 10.98 | |
\(b_{\text {Batt},i}\ [\text {nT/mA}]\) | \(-\,0.15\) | 2.01 | \(-\,3.88\) | \(-\,0.81\) | 1.21 | \(-\,1.65\) | \(-\,0.20\) | 1.81 | \(-\,3.88\) | |
\(b_{\text {ADC},i}\ [\text {nT}]\) | 2.93 | 0.10 | 0.22 | 2.76 | 0.24 | 0.05 | 2.72 | \(-\,0.19\) | 0.43 | |
\(M_{1,i}\ [\text {nT/mA}]\) | \(-\,1.629\) | 36.947 | \(-\,36.401\) | \(-\,1.621\) | 36.866 | \(-\,36.262\) | \(-\,1.636\) | 37.040 | \(-\,36.552\) | |
\(M_{2,i}\ [\text {nT/mA}]\) | 2.718 | 5.047 | 1.350 | 2.717 | 5.053 | 1.356 | 2.719 | 5.044 | 1.347 | |
\(M_{3,i}\ [\text {nT/mA}]\) | 22.614 | 0.875 | \(-\,2.046\) | 22.576 | 0.873 | \(-\,2.050\) | 22.666 | 0.874 | \(-\,2.047\) | |
\(\xi _{11}^i\) | \(-\,0.23\) | 0.47 | 0.20 | \(-\,0.25\) | 0.50 | 0.16 | \(-\,0.29\) | 0.47 | 0.19 | |
\(\xi _{22}^i\) | \(-\,1.15\) | \(-\,0.71\) | 1.22 | \(-\,1.07\) | 3.94 | \(-\,0.99\) | \(-\,1.02\) | \(-\,3.83\) | 4.70 | |
\(\xi _{33}^i\) | 0.26 | 0.23 | 0.38 | 0.25 | 0.19 | 0.42 | 0.23 | 0.29 | 0.32 | |
\(\xi _{12}^i\) | \(-\,0.24\) | 0.25 | 4.81 | \(-\,0.62\) | 0.15 | 5.07 | 0.23 | 0.52 | 4.49 | |
\(\xi _{13}^i\) | \(-\,0.06\) | \(-\,6.89\) | 0.17 | \(-\,0.07\) | \(-\,6.91\) | 0.09 | \(-\,0.03\) | \(-\,6.80\) | 0.32 | |
\(\xi _{23}^i\) | 1.99 | \(-\,0.45\) | \(-\,0.02\) | 1.85 | 0.11 | \(-\,0.25\) | 2.17 | \(-\,0.82\) | 0.34 | |
\(\eta _{111}^i\) | 0.10 | \(-\,0.63\) | 0.22 | 0.07 | \(-\,0.63\) | 0.32 | 0.11 | \(-\,0.62\) | 0.09 | |
\(\eta _{222}^i\) | \(-\,0.35\) | \(-\,0.29\) | 0.49 | \(-\,0.89\) | 0.90 | \(-\,0.61\) | 0.23 | \(-\,1.30\) | 1.50 | |
\(\eta _{333}^i\) | \(-\,0.02\) | 0.03 | \(-\,0.06\) | \(-\,0.05\) | \(-\,0.00\) | \(-\,0.05\) | \(-\,0.00\) | 0.06 | \(-\,0.05\) | |
\(\eta _{112}^i\) | \(-\,0.72\) | 0.95 | \(-\,0.37\) | \(-\,0.82\) | 0.98 | 0.10 | \(-\,0.52\) | 1.22 | \(-\,0.77\) | |
\(\eta _{113}^i\) | 0.02 | \(-\,0.17\) | 0.03 | 0.01 | \(-\,0.14\) | 0.03 | 0.04 | \(-\,0.19\) | 0.04 | |
\(\eta _{223}^i\) | 0.81 | 0.37 | \(-\,0.02\) | 0.74 | 0.60 | \(-\,0.33\) | 0.93 | 0.24 | 0.06 | |
\(\eta _{122}^i\) | 0.24 | \(-\,0.20\) | \(-\,0.02\) | 0.27 | \(-\,0.15\) | \(-\,0.09\) | 0.23 | \(-\,0.23\) | 0.05 | |
\(\eta _{133}^i\) | \(-\,0.09\) | 0.07 | \(-\,0.18\) | \(-\,0.21\) | 0.08 | \(-\,0.15\) | 0.05 | 0.06 | \(-\,0.21\) | |
\(\eta _{233}^i\) | \(\,0.65\) | \(-\,0.17\) | 0.05 | \(-\,0.84\) | 0.65 | 0.02 | \(-\,0.48\) | \(-\,0.51\) | 0.14 | |
\(\eta _{123}^i\) | \(-\,0.18\) | 0.12 | \(-\,0.13\) | \(-\,0.08\) | 0.17 | \(-\,0.11\) | \(-\,0.28\) | 0.10 | \(-\,0.16\) | |