Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-24T12:43:22.540Z Has data issue: false hasContentIssue false

Prognostic opportunity of the shifted correlation between Wolf numbers and their time derivatives

Published online by Cambridge University Press:  23 December 2024

S. V. Starchenko*
Affiliation:
IZMIRAN, Moscow, Troitsk, 108840 Russia
S. V. Yakovleva
Affiliation:
IZMIRAN, Moscow, Troitsk, 108840 Russia
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We correlate the annual Wolf numbers W and their time derivatives by shifting time fragments of W and relative to each other. The most significant (up to 0.874) correlation is with 3 years shifts for fragments covering 14 years. For longer and shorter periods, the correlation coefficients 0.771–0.855 with 2–3 years shift. The most significant 9 years shift corresponds to -0.852/-0.824 anti-correlation coefficient for 14/11 years period. The other periods are less significant. To evaluate predictive estimates, we use the times series fragments of W shifted back into the past. A forecast can be made using the leading graphs based upon the derived calibration factor. Test calculations show that the most effective is the calibration factor calculated for changing the phase of the cycle. The best linear pairwise correlation coefficient of the approximation is 0.94.

Type
Contributed Paper
Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of International Astronomical Union

References

Abdel–Rahman, H.I., & Marzouk, B.A. 2018, NRIAG J. Astron. Geophys., 7, 175 Google Scholar
Bhowmik, P., & Nandy, D. 2018, Nat. Commun., 9, 5209.CrossRefGoogle Scholar
Bondar, T.N., Rotanova, N.M., & Obridko, V.N. 1995, Astron. Rep., 39, 130 Google Scholar
Du, Z., & Du, S. 2006, Solar Phys., 238, 431 Google Scholar
Ishkov, V.N., & Shibaev, I.G. 2006, Bull. Russ. Acad. Sci., (Physics), 70, 1643 Google Scholar
McIntosh, S.W., Chapman, S., Leamon, R.J., Egeland, R., & Watkins, N.W. 2020, Solar Phys., 295, 163 Google Scholar
Nandy, D. 2021, Solar Phys., 296, 54 Google Scholar
Obridko, V.N., & Nagovitsyn, Yu.A. 2017, Solar activity, cyclicity and forecasting methods, SPb.: VVM Publishing House, 466pp. (in Russian)Google Scholar
Okoh, D.I., Seemala, G.K., Rabiu, A.B., Uwamahoro, J., Habarulema, J.B., Aggarwal, M. 2018, Space Weather, 16, 1424.CrossRefGoogle Scholar
Pesnell, W.D. 2012, Solar Phys., 281, 507 Google Scholar
Petrovay, K. 2020, Living Rev. Sol. Phys., 17, 2 CrossRefGoogle Scholar
Pishkalo, M.I. 2008, Kinematics and Physics of Celestial Bodies, 24, 242.CrossRefGoogle Scholar
Starchenko, S.V. & Yakovleva, S.V. 2022, G&A, 62, 685.Google Scholar
Vitinsky, Yu.I. 1973, Cyclicity and forecasts of solar activity, L.: Science, 258 pp. (in Russian)Google Scholar