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Table 3 Residual statistics (unweighted) for Model A

From: Co-estimation of geomagnetic field and in-orbit fluxgate magnetometer calibration parameters

Dataset

Component

N

mean (nT)

\(\sigma\) (nT)

rms (nT)

CHAMP

\(B_r\)

219 794

0.09

2.13

2.13

\(B_{\theta }\)

219 794

0.25

3.56

3.57

\(B_{\phi }\)

219 794

− 0.11

3.02

3.02

\(F_{\text {nonpolar}}\)

233 951

− 0.09

2.42

2.42

\(F_{\text {polar}}\)

238 742

1.15

13.05

13.10

Swarm A

\(B_r\)

130 482

− 0.04

1.77

1.77

\(B_{\theta }\)

130 482

0.24

4.15

4.16

\(B_{\phi }\)

130 482

− 0.09

3.02

3.02

\(F_{\text {nonpolar}}\)

130 501

− 0.46

2.82

2.86

\(F_{\text {polar}}\)

147 576

0.89

11.05

11.08

Swarm B

\(B_r\)

142 447

− 0.12

2.43

2.43

\(B_{\theta }\)

142 447

− 0.71

4.77

4.82

\(B_{\phi }\)

142 447

0.05

3.04

3.04

\(F_{\text {nonpolar}}\)

142 546

0.06

3.18

3.18

\(F_{\text {polar}}\)

151 356

1.11

9.95

10.01

Cryosat FGM1

\(B_r\)

116 222

− 0.06

5.06

5.06

\(B_{\theta }\)

116 222

− 0.15

6.83

6.83

\(B_{\phi }\)

116 222

− 0.05

4.95

4.95

\(F_{\text {nonpolar}}\)

116 222

0.76

5.33

5.39

\(F_{\text {polar}}\)

87 369

0.88

8.88

8.92

Cryosat FGM2

\(B_r\)

116 354

0.05

6.88

6.88

\(B_{\theta }\)

116 354

0.05

6.61

6.61

\(B_{\phi }\)

116 354

− 0.03

5.00

5.00

\(F_{\text {nonpolar}}\)

116 354

1.24

5.62

5.76

\(F_{\text {polar}}\)

87 252

− 0.60

8.97

8.99

Cryosat FGM3

\(B_r\)

116 206

0.05

5.18

5.18

\(B_{\theta }\)

116 206

0.00

6.28

6.28

\(B_{\phi }\)

116 206

− 0.08

5.38

5.38

\(F_{\text {nonpolar}}\)

116 206

1.33

5.06

5.23

\(F_{\text {polar}}\)

87 107

1.01

9.02

9.08

DMSP F-16

\(B_r\)

506 292

0.20

18.09

18.09

\(B_{\theta }\)

506 292

− 1.07

26.28

26.30

\(B_{\phi }\)

506 292

− 0.18

24.24

24.24

\(F_{\text {nonpolar}}\)

506 292

0.47

11.62

11.63

\(F_{\text {polar}}\)

103 100

6.20

20.15

21.08

DMSP F-17

\(B_r\)

509 820

0.20

9.52

9.53

\(B_{\theta }\)

509 820

− 0.44

11.39

11.40

\(B_{\phi }\)

509 820

0.03

8.93

8.93

\(F_{\text {nonpolar}}\)

509 820

0.34

7.88

7.89

\(F_{\text {polar}}\)

104 601

− 6.55

16.32

17.58

DMSP F-18

\(B_r\)

427 126

− 0.12

24.62

24.62

\(B_{\theta }\)

427 126

− 0.22

12.42

12.43

\(B_{\phi }\)

427 126

0.05

9.29

9.29

\(F_{\text {nonpolar}}\)

427 126

− 0.13

8.95

8.96

\(F_{\text {polar}}\)

85 318

− 6.84

19.96

21.10

Dataset

Component

N

mean (nT/year)

\(\sigma\) (nT/year)

rms (nT/year)

Observatories

\({\dot{B}}_{r,\text {nonpolar}}\)

415 003

0.33

5.89

5.90

\({\dot{B}}_{\theta ,\text {nonpolar}}\)

415 003

−0.31

7.80

7.80

\({\dot{B}}_{\phi ,\text {nonpolar}}\)

413 869

0.00

7.31

7.31

\({\dot{B}}_{r,\text {polar}}\)

181 023

0.23

29.06

29.06

\({\dot{B}}_{\theta ,\text {polar}}\)

181 023

0.07

26.93

26.93

\({\dot{B}}_{\phi ,\text {polar}}\)

181 023

−0.01

18.32

18.32