Dependence of solar cycles duration on the magnitude of the annual module of the magnetic fields of sunspots

Krivodubskij Valery, krivod1@observ.univ.kiev.ua, Astronomical Observatory, Kiev National Taras Shevchenko University
Lozitskaja Nataly, nloz@observ.univ.kiev.ua, Observatory, Kiev National Taras Shevchenko University


Abstract
The duration, P, of eight last (16-24) solar cycles dependence on the observed annual averaged module of the magnetic fields of the large-scale sunspots (30-60 arcsec), Bsp, was investigated. It is found that the duration of the investigated cycles, P, linearly depends on the magnetic field magnitude, Bsp, observed during 3 years of solar cycle decline phase (second, third and fourth years after solar maximum Tmax). When the maximal magnitude of magnetic induction, Bsp, was ranged from 2450 to 2600 Gs, the duration of the investigated cycles, P, had varied between 9,5 and 12,5 years. A coefficient of correlation, r, of the got dependence is 0,70; and certainty of event/ connection, q, is about 0,90. An explanation of the got dependence is proposed within the framework of alpha-Omega dynamo model.