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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