Abstract
Study of general statistical relationships of the 11-year sunspot cycles including: (a) ‘the length-amplitude rule’, or LAR (anticorrelation between the length of the current cycle from minimum to minimum and the amplitude of the next one), (b) ‘the rule of the 3rd year’, or R3 (correlation between the activity about 3 years before the first minimum of the cycle and its amplitude), (c) ‘the rule of the 7th year’, or R7 (correlation between the activity about 7 years before the maximum of the cycle and its amplitude), (d) the Waldmeier rule, or WR (anticorrelation between the length of the ascending phase of the cycle and its amplitude) was performed for the Wolf numbers. Analysis of the mutual conditionality of these rules showed that LAR, R3, R7 and WR are not independent effects. In particular, R3 and R7 hold in a series if WR and LAR hold in it.
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REFERENCES
Brajša, R., Verbanac, G., Bandić, M., et al., A prediction for the 25th solar cycle maximum amplitude, Astron. Nachr., 2022, vol. 343, no. 3, p. e13960.
Cameron, R.H. and Schüssler, M., Solar cycle prediction using precursors and flux transport models, Astrophys. J., 2007, vol. 659, pp. 801–811.
Chernosky, E.J., A relationship between the length and activity of sunspot cycles, Publ. Astron. Soc. Pac., 1954, vol. 392, pp. 241–247.
Clette, F., Svalgaard, L., Vaquero, J.M., and Cliver, E.W., Revisiting the sunspot number: A 400-year perspective on the solar cycle, Space. Sci. Rev., 2014, vol. 186, pp. 35–103. https://www.sidc.be/silso/DATA/SN_ ms_tot_V2.0.txt.
Hathaway, D.H., The solar cycle, Living Rev. Sol. Phys., 2015, vol. 12, pp. 4–87.
Hathaway, D.H., Wilson, R.M., and Reichmann, R.J., The shape of the sunspot cycle, Sol. Phys., 1994, vol. 151, pp. 177–190.
Ivanov, V.G., Two links between parameters of 11-year cycle of solar activity, Geomagn. Aeron. (Engl. Transl.), 2021, vol. 61, no. 7, pp. 1029–1034.
Nagovitsyn, Y.A. and Ivanov, V.G., Solar cycle pairing and prediction of cycle 25, Sol. Phys., 2023, vol. 298, p. 37.
Slonim, Yu.M., Some statistical relationships and a forecast for the 11-year solar cycle, Byull. Soln. Dannye Akad. Nauk USSR, 1984, no. 5, pp. 78–82.
Solanki, S.K., Krivova, N.A., Schüssler, M., and Fligge, M., Search for a relationship between solar cycle amplitude and length, Astron. Astrophys., 2002, vol. 396, pp. 1029–1035.
Stewart, J.O. and Panofsky, A.A., The mathematical characteristics of sunspot variations, Astrophys. J., 1938, vol. 88, pp. 385–407.
Waldmeier, M., Neue Eigenschaften der Sonnenfleckenkurve, Astron. Mitt. Eidgenössischen Sternwarte Zürich, 1935, vol. 14, pp. 105–130.
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This work was supported by the Programme of Large Projects of the Ministry of Science and Higher Education of the Russian Federation (grant no. 075-15-2020-780).
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Ivanov, V.G., Nagovitsyn, Y.A. Links between Adjacent 11-Year Solar Cycles and Their Mutual Conditioning. Geomagn. Aeron. 63, 920–924 (2023). https://doi.org/10.1134/S0016793223070113
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DOI: https://doi.org/10.1134/S0016793223070113