On the differential rotation of solar background magnetic fields. I - On the possible existence of torsional waves with the wave number K = 1/hemisphere

Astronomy and Astrophysics – Astronomy

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Gyromagnetism, Solar Magnetic Field, Solar Oscillations, Solar Rotation, Wave Propagation, Angular Velocity, Temporal Distribution, Time Series Analysis, Torsional Vibration

Scientific paper

A matrix of sidereal angular velocities of the solar background magnetic fields was constructed using the time series derived from chromospheric synoptic maps (published by McIntosh, 1975) and the statistical analysis of periods utilizing the autocorrelation function. It is shown that the time variations of the latitudinal gradients B/A and C/A (A, B, and C are the coefficients from a well-known differential rotation relationship) can be construed as torsional waves with the wave number k = 1/hemisphere. A computer-based model experiment reveals that these variations are statistically significant.

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