A long-term relationship between solar magnetic field, geomagnetic field and Earth's rotation rate.

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1560 Time Variations: Secular And Longer, 2162 Solar Cycle Variations (7536), 7524 Magnetic Fields, 7537 Solar And Stellar Variability (1650)

Scientific paper

All solar and solar terrestrial variables observables at ground level undergo time changes that have their origins - some of them only partially - in solar magnetic field variations. We have found that solar magnetic field amplitude cycle may be well described as the superposition of a attractor constant level, and oscillations around it that are well represented by the Gleissberg cycle - this last related to Grand Maxima and Grand Minima occurrence - and a decadal oscillation that contains the odd-even rule. In longer term scales a millennial oscillation must be also considered. Here we compare that signals in sunspot number, geomagnetic Mayaud index, sudden storm commencement (SI) index, length of day variation and the velocity of the westward drift and dipolar intensity of the geomagnetic field. Very well defined relationships that depend on the variable are found. In particular we need to divide the decadal variation in a Hale cycle and a semi-secular oscillation since the Hale oscillation in the Earth's rotation rate and in Geomagnetic field are not related and the semi secular oscillation is strongly amplified in these two variables. The origin of the so found relationship, that may help to reconstruct shorter time series of the related variables from other known since longer, is discussed.

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