Skip to main content
SpringerLink
Log in

Two Links between Parameters of 11-year Cycle of Solar Activity

  • Published:
Geomagnetism and Aeronomy Aims and scope Submit manuscript

Abstract

There are two empirical relationships between amplitudes and lengths of branches of the 11-year cycles of solar activity. The first one relates the amplitude of the given cycle to the length of its ascending branch (“the Waldmeier rule”, WR), the second one binds it to the full length of the previous cycle from minimum to minimum (“the length-to-next-amplitude rule”, LNAR). We show that the WR and LNAR are independent rules and both requires a physical explanation. We demonstrate that these rules can be used for testing of consistency of sunspot number series. We use the two rules to evaluate the amplitude (136 ± 36) and moment of maximum (2025.7 ± 0.7) of the forthcoming cycle 25.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.

Similar content being viewed by others

REFERENCES

  1. Cameron, R. and Schüssler, M., Solar cycle prediction using precursors and flux transport models, Astrophys. J., 2007, vol. 659, pp. 801–811.

    Article  Google Scholar 

  2. Charbonneau, P. and Dikpati, M., Stochastic fluctuations in a Babcock–Leighton model of the solar cycle, Astrophys. J., 2000, vol. 543, pp. 1027–1043.

    Article  Google Scholar 

  3. Clette, F., Svalgaard, L., Vaquero, J.M., and Cliver, E.W., Revisiting the sunspot number, Space Sci. Rev., 2014, vol. 186, pp. 35–103. http://www.sidc.be/silso/datafiles.

    Article  Google Scholar 

  4. Dicke, R.H., Is there a chronometer hidden deep in the Sun?, Nature, 1978, vol. 276, pp. 676–680.

    Article  Google Scholar 

  5. Friis-Christensen, E. and Lassen, K., Length of the solar cycle: An indicator of solar activity closely associated with climate, Science, 1991, vol. 254, pp. 698–700.

    Article  Google Scholar 

  6. Gnevyshev, M.N. and Ohl, A.I., On 22-year cycle of the solar activity, Astron. Zh., 1948, vol. 25, pp. 18–20.

    Google Scholar 

  7. Hathaway, D.H., The solar cycle, Living Rev. Sol. Phys., 2015, vol. 12, pp. 4–87.

    Article  Google Scholar 

  8. Hathaway, D.H., Wilson, R.M., and Reichmann, E.J., The shape of the sunspot cycle, Sol. Phys., 1994, vol. 151, pp. 177–190.

    Article  Google Scholar 

  9. Hathaway, D.H., Wilson, R.M., and Reichmann, E.J., A synthesis of solar cycle prediction techniques, J. Geophys. Res., 1999, vol. 104, pp. 22375–22388.

    Article  Google Scholar 

  10. Hoyng, P., Helicity fluctuations in mean field: An explanation for the variability of the solar cycle? Astron. Astrophys., 1993, vol. 272, pp. 321–339.

    Google Scholar 

  11. Nagovitsyn, Yu.A., A nonlinear mathematical model for the solar cyclicity and prospects for reconstructing the solar activity in the past, Astron. Lett., 1997, vol. 23, pp. 742–748.

    Google Scholar 

  12. Petrovay, K., Solar cycle prediction, Living Rev. Sol. Phys., 2020, vol. 17, id 2.

  13. 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.

    Article  Google Scholar 

  14. Waldmeier, M., Neue Eigenschaften der Sonnenfleckenkurve, Astron. Mitt. Eidgenössischen Sternwarte Zürich, 1935, vol. 14, pp. 105–130.

    Google Scholar 

Download references

Funding

The work was partially supported by the grant of the Russian Foundation for Basic Research no. 19-02-00088 and the State Order.

Author information

Authors and Affiliations

  1. Central (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg, Russia

    V. G. Ivanov

Authors
  1. V. G. Ivanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. G. Ivanov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ivanov, V.G. Two Links between Parameters of 11-year Cycle of Solar Activity. Geomagn. Aeron. 61, 1029–1034 (2021). https://doi.org/10.1134/S0016793221070069

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0016793221070069

Search

Navigation