Correlation and Spectral Models in Stationary stimation Problems of the Differential Rotation and e Latitudinal Drift of thе Magnetic Fields on the Sun. Yarema Zyelyk

Abstract. The following estimation stationary problems in various ranges of magnetic field strength on the Sun are considered. 1) Estimation of latitudinal drift of magnetic field stream as a wave train with various rotation periods in 5- degree latitude bands of the Sun by the correlation models applying. 2) Determination of differential rotation of magnetic field stream and latitudinal drift its separate components, possessing certain significant rotation periods in some given period intervals in latitude intervals by applying of spectral models of stationary random process, concerned with the solar magnetic field stream in these bands. Differential character of the magnetic field rotation is exhibited in exclusive dependence of rotation period (velocity) from the latitude, not stacked in conventional mechanistic representations about solid-state rotation (on equator rotation is faster, than at high latitudes). The obtained time series analysis results of the observational data are be in accord with the qualitative deductions following from the theoretical models. The found out new regular dependence of increase of the magnetic structures rotation period on the latitude of their emersion on the Sun surface is interest for the theory of the differential Sun rotation and for the solar cycle theory.

Keywords. Time series analysis, observational data, stationary random process, correlation models, spectral models, differential rotation, magnetic field, Sun.

References.

1. Andryeyeva O. A., Zyelyk Ya. I., Stepanian N. N.: Differential rotation of solar magnetic fields // Bulletin of the Crimean Astrophysical Observatory. – Vol. 104. – Num. 1. - 2008. – P. 1-6 /Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC, June, 2008.

2. Zyelyk Ya. I., Stepanian N. N. Andryeyeva O. A.: Spectral methods for analyzing the rotation of solar structures // Bulletin of the Crimean Astrophysical Observatory. – Vol. 103. – Num. 1. 2007. – P. 39-47 /Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC, June, 2007.

3. Bendat J.S., Piersol A.G.: Random data: Analysis and measurement procedures. - John Wiley, New York, 1986. - 566 P.

4. Welch P.D.: The Use of Fast Fourier Transform for the Estimation of Power Spectra: A Method Based on Time Averaging Over Short, Modified Periodograms // IEEE Trans. Audio Electroacoustics, Vol. AU-15 (June 1967), P. 70-73.