Table 3 Uncertainties for H component
From: Uncertainty in hourly mean data from classical magnetometers
Variable | Value of the variable | Uncertainty \( (\delta ) \) of the variable | Term | Uncertainty of the term |
|---|---|---|---|---|
C (nT) | 9023.2 | 0.1 | \( \left( {\left( {1 + k_{1} t_{\text{abs}} } \right)*\left( {1 + k_{2} {\mathcal{H}}\cos \varphi } \right)*\sin \varphi } \right)\delta C)^{2} \) | 0.07432742 |
\( k_{1} \) (°C−1) | 0.000476 | 1.00E−06 | \( \left( {C*\left( {t_{\text{abs}} } \right)*\left( {1 + k_{2} {\mathcal{H}}\cos \varphi } \right)*\sin \varphi } \right)\delta k_{1} )^{2} \) | 0.00892709 |
\( t_{abs} \) (°C) | 17.46 | 0.1 | \( \left( {C*\left( {k_{1} } \right)*\left( {1 + k_{2} {\mathcal{H}}\cos \varphi } \right)*\sin \varphi } \right)\delta t_{\text{abs}} )^{2} \) | 0.06630145 |
\( k_{2} \) (nT−1) | 1.18E−08 | 1.00E−10 | \( \left( {C*\left( {1 + k_{1} t_{\text{abs}} } \right)*\left( {{\mathcal{H}}\cos \varphi } \right)*\sin \varphi } \right)\delta k_{2} )^{2} \) | 0.00011531 |
\( {\mathcal{H}} \) (nT) | 24,600 | 25 | \( \left( {C*\left( {1 + k_{1} t_{\text{abs}} } \right)*\left( {k_{2} \cos \varphi } \right)*\sin \varphi } \right)\delta {\mathcal{H}})^{2} \) | 1.6582E−06 |
\( \varphi \) (°) | 36.8246 | 1.93925E−06 | \( \left( {C*\left( {1 + k_{1} t_{\text{abs}} } \right)*(\cos \varphi \left( {1 + k_{2} \cos \varphi } \right) - k_{2} {\mathcal{H}}\sin^{2} \varphi } \right)\delta \varphi )^{2} \) | 0.00019951 |
SH (nT/mm) | 4.5 | 0.1 | \( \left( {\left( {n_{Hm} - n_{{H{\text{abs}}}} } \right)\delta S_{H} } \right)^{2} \) | 0.603729 |
nHabs (mm) | 12.7 | 0.1 | \( \left( {S_{H} \delta n_{Hm} } \right)^{2} \) | 0.2025 |
nHm (mm) | 20.47 | 0.12 | \( \left( {S_{H} \delta n_{{H{\text{abs}}}} } \right)^{2} \) | 0.2916 |
Total uncertainty Hm (nT) | 1.1 |