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Fig. 5. Plot of (internal) coefficient from the FTMM against the TDS-1 reference model.

In a 1-D Earth, a source with this geometry only induces one internal coefficient,.

Each internal coefficient has one β associated with each component of the orbit average.

This relationship between internal coefficient and contribution to orbit average cannot be reliably computed in advance, especially since unexpected gaps in the data cannot be ruled out.

For each dataset, we perform a Fourier transformation of both external and internal coefficient time series and pick a subset of representative periods.

Figures 5 and 6 are the correlation and MSC plots for the (internal) coefficient, whose dipole magnetic field axis passes through the prime meridian and equator of the geographic coordinate system.

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5) Calculation of the time spectra of internal coefficients using Eq. (10).

Internal coefficients of neural model – weights – are adapted on-line according to the Levenberg Marquardt algorithm.

These time series of internal coefficients are then subtracted from the orbit averages to obtain the external coefficients.

(7)–(8), we use different indices for external and internal coefficients to account for the 3-D structure.

Usually, C d is assumed to be diagonal (i.e. to contain only the squared uncertainties of the experimental internal coefficients).

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