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Regular Research Article 15 Nov 2013 A mathematical model of the sunspot cycle for the past 1000 yr R. J. SalvadorVancouver, Canada
Received: 08 Oct 2013 – Revised: 27 Oct 2013 – Accepted: 30 Oct 2013 – Published: 15 Nov 2013 Abstract. Using many features of Ian Wilson's Tidal Torque theory, a mathematical model
of the sunspot cycle has been created that reproduces changing sunspot cycle
lengths and has an 85% correlation with the sunspot numbers from 1749 to
2013. The model makes a reasonable representation of the sunspot cycle for
the past 1000 yr, placing all the solar minimums in their right time
periods. More importantly, I believe the model can be used to forecast future
solar cycles quantitatively for 30 yr and directionally for 100 yr. The
forecast is for a solar minimum and quiet Sun for the next 30 to 100 yr. The
model is a slowly changing chaotic system with patterns that are never
repeated in exactly the same way. Inferences as to the causes of the sunspot
cycle patterns can be made by looking at the model's terms and relating them
to aspects of the Tidal Torque theory and, possibly, Jovian magnetic field
interactions.
Citation: Salvador, R. J.: A mathematical model of the sunspot cycle for the past 1000 yr, Pattern Recogn. Phys., 1, 117-122, doi:10.5194/prp-1-117-2013, 2013.
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