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Table 2 Estimated calibration and characterisation parameters including units and dimensionality

From: Observing Earth’s magnetic environment with the GRACE-FO mission

Parameter Description Unit Dimension
\(\mathbf {s}\) Scale factors \(\frac{{{\text{nT}}}}{{{\text{nT}}}}\) 3
\(\mathbf {b}\) Offsets nT 3
\(\mathbf {u}\) Misalignment angles rad 3
\(\mathbf {e}\) Euler (123) angles rad 3
\(\underline{\xi }\) 2nd order non-linearity \(\frac{{{\text{nT}}}}{{{\text{n}}{{\text{T}}^2}}}\) 3 × 6
\(\underline{\nu }\) 3rd order non-linearity \(\frac{{{\text{nT}}}}{{{\text{n}}{{\text{T}}^3}}}\) 3 × 10
\(\underline{\text{bt}}\) Temperature dependency of offsets b \(\frac{\text {nT}}{^{\circ }\text {C}}\) 3 × 3
\(\underline{\text{st}}\) Temperature dependency of scale factors s \(\frac{\text {nT}}{\text {nT}\,^{\circ }\text {C}}\) 3 × 3
\(\underline{\text{bat}}\) Battery current scale factor \(\frac{{{\text{nT}}}}{{{\text{mA}}}}\) 3 × 3
\(\underline{\text{sa}}\) Solar array current scale factor \(\frac{{{\text{nT}}}}{{{\text{mA}}}}\) 3 × 3
\(\underline{M}\) Magnetorquer current scale factor \(\frac{{{\text{nT}}}}{{{\text{mA}}}}\) 3 × 3