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Earth, Planets and Space
Fig. 9 | Earth, Planets and Space

Fig. 9

From: An electric circuit model of the Earth’s polar electrojets and field-aligned currents for the estimation of magnetospheric magnetic field from along-track Swarm magnetic data

Fig. 9

Trade-off curves between data misfit and model resolution (the L-curves) for six selected Swarm A tracks (see Table 1). Red, blue, green, yellow, violet and light blue stand for tracks A4301, A4855, A4975, A5097, A8506 and A9012, respectively. The dotes denote chosen values of the regularisation parameter \(\alpha ^2\) in the range between \(1\times 10^{-19}\) nT\(^2\)A\(^{-2}\) and \(1\times 10^{-8}\) nT\(^2\)A\(^{-2}\). The corner values of the L-curves occur for \(\alpha ^2\) between \(1\times 10^{-11}\) nT\(^2\)A\(^{-2}\) and \(3\times 10^{-11}\) nT\(^2\)A\(^{-2}\). The common value of \(\alpha ^2\) used for the analysis of the along-track data in Fig. 10 was chosen equal to \(\alpha ^2=2\times 10^{-11}\) nT\(^2\)A\(^{-2}\) (large circles). The norm of vector \({\varvec{m}}\) is normalised by the number of model parameters N for better comparison between different tracks

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