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Euler potential mapping of the IGRF magnetic field on the planet’s surface.

Presentation #211.09 in the session Planetary Space Physics (Poster)

Published onOct 23, 2023
Euler potential mapping of the IGRF magnetic field on the planet’s surface.

Stern (1964) mapped the IGR field from the magnetic flux consideration on the surface. The method is not applicable to polar regions, and near equator it demonstrates the Euler potentials discontinuities. The alternative is to find the Euler potentials with high precision in the vicinity of the planet’s surface, and then their contour lines will represent the mapping on the surface. We will search for the potentials using a set of orthogonal functions in the region, which form a basis, that is satisfies the completeness criterion. The number of terms in each sum to be found by the minimum square’s method will be the same as in the IGRF sum. The goal is to achieve the precision of the mapping comparable or better than that of IGRF. This research was supported by NSF grant 2230363. M. V. acknowledges This research was supported by NSF grant 2230363. M. V. acknowledges support from the AV CR grant RVO:67985815 and GACR grant 21-26463S.

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