Table 1 Model statistics of SIFMplus (top), \(\hbox {SIFMplus}_{{\text {noMLT}}}\) (middle) and \(\hbox {SIFM}_x\) (bottom)
From: A model of Earth’s magnetic field derived from 2 years of Swarm satellite constellation data
SW-A | SW-B | SW-C | SW-A – SW-C | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
N | Mean | RMS | N | Mean | RMS | N | Mean | RMS | N | Mean | RMS | |
SIFMplus | ||||||||||||
\(F_{\text {polar}}\) | 125,612 | −0.36 | 3.39 | 125,598 | −0.36 | 3.25 | 122,775 | −0.34 | 3.40 | |||
\(F_{\text {non-polar}}\) | 427,979 | −0.41 | 2.30 | 424,364 | −0.38 | 2.28 | 420,113 | −0.46 | 2.30 | |||
\(B_r\) | 427979 | −0.25 | 1.93 | 424,364 | −0.41 | 1.99 | 420,113 | −0.24 | 1.98 | |||
\(B_\theta \) | 427,979 | 0.30 | 2.97 | 424,364 | 0.28 | 2.95 | 420,113 | 0.32 | 2.97 | |||
\(B_\phi \) | 427,979 | 0.02 | 2.49 | 424,364 | 0.01 | 2.48 | 420,113 | 0.02 | 2.50 | |||
\(\delta F_{\text {NS, polar}}\) | 268,159 | −0.01 | 0.82 | 259,685 | −0.02 | 0.76 | 260,085 | −0.01 | 0.82 | |||
\(\delta F_{\text {NS, non-polar, dark}}\) | 325,453 | 0.00 | 0.18 | 322,491 | 0.01 | 0.17 | 317,916 | 0.00 | 0.18 | |||
\(\delta B_{r,{\text {NS, dark}}}\) | 215,163 | −0.00 | 0.27 | 211,622 | −0.00 | 0.27 | 209,694 | −0.01 | 0.28 | |||
\(\delta B_{\theta ,{\text {NS, dark}}}\) | 215,163 | −0.00 | 0.27 | 211,622 | −0.01 | 0.26 | 209,694 | −0.00 | 0.28 | |||
\(\delta B_{\phi ,{\text {NS, dark}}}\) | 215,163 | −0.00 | 0.34 | 211,622 | −0.00 | 0.34 | 209,694 | −0.00 | 0.35 | |||
\(\delta F_{\text {NS, non-polar, sunlit}}\) | 356,410 | 0.02 | 0.33 | 355,790 | 0.01 | 0.30 | 349,202 | 0.01 | 0.33 | |||
\(\delta B_{r,{\text {NS, sunlit}}}\) | 232,514 | −0.00 | 0.53 | 232,918 | −0.01 | 0.51 | 227,049 | −0.01 | 0.53 | |||
\(\delta B_{\theta ,{\text {NS, sunlit}}}\) | 232,514 | −0.00 | 0.58 | 232,918 | −0.00 | 0.56 | 227,049 | −0.00 | 0.59 | |||
\(\delta B_{\phi ,{\text {NS, sunlit}}}\) | 232,514 | 0.00 | 0.89 | 232,918 | 0.01 | 0.85 | 227,049 | 0.00 | 0.89 | |||
\(\delta F_{\text {EW, polar}}\) | 413,933 | −0.01 | 0.70 | |||||||||
\(\delta F_{\text {EW, non-polar, dark}}\) | 538,164 | 0.06 | 0.37 | |||||||||
\(\delta B_{r, {\text {EW, dark}}}\) | 344,719 | 0.01 | 0.48 | |||||||||
\(\delta B_{\theta ,{\text {EW, dark}}}\) | 344,719 | −0.01 | 0.50 | |||||||||
\(\delta B_{\phi ,{\text {EW, dark}}}\) | 344,719 | −0.01 | 0.58 | |||||||||
\(\delta F_{\text {EW, non-polar, sunlit}}\) | 592,723 | 0.04 | 0.48 | |||||||||
\(\delta B_{\text {r,EW, sunlit}}\) | 374,546 | 0.02 | 0.80 | |||||||||
\(\delta B_{\theta , {\text {EW, sunlit}}}\) | 374,546 | −0.00 | 0.88 | |||||||||
\(\delta B_{\phi ,{{\text {EW, sunlit}}}}\) | 374,546 | 0.04 | 1.62 | |||||||||
\(SIFMplus_{{noMLT}}\) | ||||||||||||
\(F_{\text {polar}}\) | 125,612 | −0.48 | 3.78 | 125,598 | −0.45 | 3.63 | 122,775 | −0.46 | 3.78 | |||
\(F_{\text {non-polar}}\) | 427,979 | −0.64 | 2.29 | 424,364 | −0.60 | 2.27 | 420,113 | −0.69 | 2.31 | |||
\(B_r\) | 427,979 | 0.07 | 1.98 | 424,364 | −0.05 | 1.96 | 420,113 | 0.10 | 2.03 | |||
\(B_\theta \) | 427,979 | 0.29 | 2.97 | 424,364 | 0.31 | 2.99 | 420,113 | 0.31 | 2.98 | |||
\(B_\phi \) | 427,979 | 0.26 | 2.53 | 424,364 | 0.26 | 2.51 | 420,113 | 0.24 | 2.54 | |||
\(\delta F_{\text {NS, polar}}\) | 268,159 | −0.01 | 0.86 | 259,685 | −0.01 | 0.79 | 260,085 | −0.01 | 0.85 | |||
\(\delta F_{\text {NS, non-polar, dark}}\) | 325,453 | 0.00 | 0.18 | 322,491 | 0.00 | 0.17 | 317,916 | 0.00 | 0.18 | |||
\(\delta B_{r,{\text {NS, dark}}}\) | 215,163 | −0.00 | 0.27 | 211,622 | 0.00 | 0.26 | 209,694 | −0.00 | 0.28 | |||
\(\delta B_{\theta ,{\text {NS, dark}}}\) | 215,163 | −0.00 | 0.27 | 211,622 | −0.01 | 0.27 | 209,694 | −0.00 | 0.28 | |||
\(\delta B_{\phi ,{\text {NS, dark}}}\) | 215,163 | −0.00 | 0.34 | 211,622 | −0.00 | 0.34 | 209,694 | 0.00 | 0.35 | |||
\(\delta F_{\text {NS, non-polar, sunlit}}\) | 356,410 | 0.03 | 0.34 | 355,790 | 0.03 | 0.31 | 349,202 | 0.03 | 0.34 | |||
\(\delta B_{r,{\text {NS, sunlit}}}\) | 232,514 | −0.00 | 0.53 | 232,918 | −0.01 | 0.51 | 227,049 | −0.01 | 0.54 | |||
\(\delta B_{\theta ,{\text {NS, sunlit}}}\) | 232,514 | −0.00 | 0.58 | 232,918 | −0.00 | 0.56 | 227,049 | −0.00 | 0.59 | |||
\(\delta B_{\phi ,{\text {NS, sunlit}}}\) | 232,514 | 0.00 | 0.89 | 232,918 | 0.01 | 0.85 | 227,049 | 0.00 | 0.89 | |||
\(\delta F_{\text {EW, polar}}\) | 413,933 | −0.01 | 0.72 | |||||||||
\(\delta F_{\text {EW, non-polar, dark}}\) | 538,164 | 0.03 | 0.37 | |||||||||
\(\delta B_{r, {\text {EW, dark}}}\) | 344,719 | 0.01 | 0.48 | |||||||||
\(\delta B_{\theta ,{\text {EW, dark}}}\) | 344,719 | −0.01 | 0.50 | |||||||||
\(\delta B_{\phi ,{\text {EW, dark}}}\) | 344,719 | −0.01 | 0.58 | |||||||||
\(\delta F_{\text {EW, non-polar, sunlit}}\) | 592,723 | 0.05 | 0.49 | |||||||||
\(\delta B_{\text {r,EW, sunlit}}\) | 374,546 | 0.01 | 0.80 | |||||||||
\(\delta B_{\theta ,\text {EW, sunlit}}\) | 374,546 | 0.00 | 0.88 | |||||||||
\(\delta B_{\phi ,\text {EW, sunlit}}\) | 374,546 | 0.04 | 1.64 | |||||||||
\(SIFM_x\) | ||||||||||||
\(F_{\text {polar}}\) | 125,612 | −0.47 | 3.71 | 125,598 | −0.41 | 3.54 | 122,775 | −0.44 | 3.71 | |||
\(F_{\text {non-polar}}\) | 427,979 | −0.67 | 2.30 | 424,364 | −0.64 | 2.26 | 420,113 | −0.72 | 2.31 | |||
\(B_r\) | 427,979 | 0.08 | 2.00 | 424,364 | 0.06 | 1.98 | 420,113 | 0.10 | 2.05 | |||
\(B_\theta \) | 427,979 | 0.31 | 2.95 | 424,364 | 0.35 | 2.96 | 420,113 | 0.33 | 2.96 | |||
\(B_\phi \) | 427,979 | 0.21 | 2.51 | 424,364 | 0.20 | 2.49 | 420,113 | 0.20 | 2.52 | |||
\(\delta F_{\text {NS, polar}}\) | 268,159 | −0.02 | 0.85 | 259,685 | −0.01 | 0.79 | 260,085 | −0.02 | 0.84 | |||
\(\delta F_{\text {NS, non-polar, dark}}\) | 325,453 | 0.00 | 0.18 | 322,491 | 0.00 | 0.17 | 317,916 | 0.00 | 0.18 | |||
\(\delta F_{\text {NS, non-polar, sunlit}}\) | 356,410 | 0.03 | 0.34 | 355,790 | 0.03 | 0.31 | 349,202 | 0.02 | 0.34 | |||
\(\delta F_{\text {EW, polar}}\) | 413,933 | −0.02 | 0.72 | |||||||||
\(\delta F_{\text {EW, non-polar, dark}}\) | 538,164 | 0.03 | 0.36 | |||||||||
\(\delta F_{\text {EW, non-polar, sunlit}}\) | 592,723 | 0.05 | 0.49 | |||||||||