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Solar Physics

, Volume 291, Issue 12, pp 3485–3500 | Cite as

Short-Term Variations in the Equatorial Rotation Rate of Sunspot Groups

  • J. Javaraiah
  • L. Bertello
Article

Abstract

We have detected several periodicities in the solar equatorial rotation rate of sunspot groups in the catalog Greenwich Photoheliographic Results (GPR) during the period 1931 – 1976, the Solar Optical Observing Network (SOON) during the period 1977 – 2014, and the Debrecen Photoheliographic Data (DPD) during the period 1974 – 2014. We have compared the results from the fast Fourier transform (FFT), the maximum entropy method (MEM), and the Morlet wavelet power-spectra of the equatorial rotation rates determined from SOON and DPD sunspot-group data during the period 1986 – 2007 with those of the Mount Wilson Doppler-velocity data during the same period determined by Javaraiah et al. (Solar Phys. 257, 61, 2009). We have also compared the power-spectra computed from the DPD and the combined GPR and SOON sunspot-group data during the period 1974 – 2014 to those from the GPR sunspot-group data during the period 1931 – 1973. Our results suggest a ∼ 250-day period in the equatorial rotation rate determined from both the Mt. Wilson Doppler-velocity data and the sunspot-group data during 1986 – 2007. However, a wavelet analysis reveals that this periodicity appears mostly around 1991 in the velocity data, while it is present in most of the solar cycles covered by the sunspot-group data, mainly near the minimum epochs of the solar cycles. We also found the signature of a period of ∼ 1.4 years in the velocity data during 1990 – 1995, and in the equatorial rotation rate of sunspot groups mostly around the year 1956. The equatorial rotation rate of sunspot groups reveals a strong ∼ 1.6-year periodicity around 1933 and 1955, a weaker one around 1976, and a strong ∼ 1.8-year periodicity around 1943. Our analysis also suggests periodicities of ∼ 5 years, ∼ 7 years, and ∼ 17 years, as well as some other short-term periodicities. However, short-term periodicities are mostly present at the time of solar minima. Hence, short-term periodicities cannot be confirmed because of the larger uncertainty in the data.

Keywords

Solar rotation Solar activity Solar cycle 

Notes

Acknowledgements

We thank the anonymous referee for the critical review and useful comments and suggestions. The wavelet software was provided by C. Torrence and G. Compo and is available at http://paos.colorado.edu/research/wavelets . The MEM software was provided by A.V. Raveendran.

Conflict of interest

The authors declare that they have no conflicts of interest.

References

  1. Abreu, J.A., Beer, J., Ferriz-Mas, A., McCracken, K.G., Steinhilber, F.: 2012, Astron. Astrophys. 548, A88.  DOI. ADSCrossRefGoogle Scholar
  2. Bai, T.: 2003, Astrophys. J. 591, 406.  DOI. ADSCrossRefGoogle Scholar
  3. Bai, T., Sturrock, P.A.: 1991, Nature 350, 141.  DOI. ADSCrossRefGoogle Scholar
  4. Berryman, J.G.: 1978, Geophysics 43, 1384.  DOI. ADSCrossRefGoogle Scholar
  5. Bouwer, S.D.: 1992, Solar Phys. 142, 365.  DOI. ADSCrossRefGoogle Scholar
  6. Brault, J.W., White, O.R.: 1971, Astron. Astrophys. 13, 169. ADSGoogle Scholar
  7. Chowdhury, P., Khan, M., Ray, P.C.: 2009, Mon. Not. Roy. Astron. Soc. 392, 1159.  DOI. ADSCrossRefGoogle Scholar
  8. Chowdhury, P., Gokhale, M.H., Singh, J., Moon, Y.-J.: 2016, Astrophys. Space Sci. 361, 54.  DOI. ADSCrossRefGoogle Scholar
  9. Cionco, R.G., Compagnucci, R.H.: 2012, Adv. Space Res. 50, 1434.  DOI. ADSCrossRefGoogle Scholar
  10. Foukal, P.V.: 1972, Astrophys. J. 173, 439.  DOI. ADSCrossRefGoogle Scholar
  11. Gilman, P.A., Foukal, P.V.: 1979, Astrophys. J. 229, 1179.  DOI. ADSCrossRefGoogle Scholar
  12. Gokhale, M.H.: 2010, In: Hasan, S.S., Rutten, R.J. (eds.) Magnetic Coupling Between the Interior and Atmosphere of the Sun, Astrophys. Space Sci. Proc., Springer, Berlin, 494.  DOI. CrossRefGoogle Scholar
  13. Gurgenashvili, E., Zaqarashvili, T.V., Kukhianidze, V., Oliver, R., Ballester, J.L., Ramishvili, G., Shergelashvili, B., Hanslmeier, A., Poedts, S.: 2016, Astrophys. J. 826, 55.  DOI. ADSCrossRefGoogle Scholar
  14. Györi, L., Baranyi, T., Ludmány, A.: 2011, IAU Symp. 273, 403.  DOI. ADSGoogle Scholar
  15. Hathaway, D.H.: 2015, Living Rev. Solar Phys. 12(4), 1.  DOI. ADSGoogle Scholar
  16. Hathaway, D.H., Choudhary, D.P.: 2008, Solar Phys. 250, 269.  DOI. ADSCrossRefGoogle Scholar
  17. Hathaway, D.H., Nandy, D., Wilson, R.M., Reichmann, E.J.: 2003, Astrophys. J. 589, 665.  DOI. ADSCrossRefGoogle Scholar
  18. Hiremath, K.M.: 2002, Astron. Astrophys. 386, 674.  DOI. ADSCrossRefGoogle Scholar
  19. Howard, R.F.: 1996, Annu. Rev. Astron. Astrophys. 34, 75.  DOI. ADSCrossRefGoogle Scholar
  20. Howe, R., Christensen-Discard, J., Hill, F., Komm, R.W., Larsen, R.M., Scour, J., Thompson, M.J., Toomre, J.: 2000, Science 287, 2456.  DOI. ADSCrossRefGoogle Scholar
  21. Javaraiah, J.: 2003, Solar Phys. 212, 23.  DOI. ADSCrossRefGoogle Scholar
  22. Javaraiah, J.: 2005, Mon. Not. Roy. Astron. Soc. 362, 579.  DOI. CrossRefGoogle Scholar
  23. Javaraiah, J.: 2011, Adv. Space Res. 48, 1032.  DOI. ADSCrossRefGoogle Scholar
  24. Javaraiah, J.: 2013, Solar Phys. 287, 197.  DOI. ADSCrossRefGoogle Scholar
  25. Javaraiah, J., Bertello, L., Ulrich, R.K.: 2005, Astrophys. J. 626, 579.  DOI. ADSCrossRefGoogle Scholar
  26. Javaraiah, J., Gokhale, M.H.: 1995, Solar Phys. 158, 173.  DOI. ADSCrossRefGoogle Scholar
  27. Javaraiah, J., Gokhale, M.H.: 1997a, Solar Phys. 170, 389.  DOI. ADSCrossRefGoogle Scholar
  28. Javaraiah, J., Gokhale, M.H.: 1997b, Astron. Astrophys. 327, 795. ADSGoogle Scholar
  29. Javaraiah, J., Komm, R.W.: 1999, Solar Phys. 184, 41.  DOI. ADSCrossRefGoogle Scholar
  30. Javaraiah, J., Ulrich, R.K., Bertello, L., Boyden, J.E.: 2009, Solar Phys. 257, 61.  DOI. ADSCrossRefGoogle Scholar
  31. Juckett, D.: 2000, Solar Phys. 191, 201.  DOI. ADSCrossRefGoogle Scholar
  32. Kane, R.P.: 2003, J. Atmos. Solar-Terr. Phys. 65, 979.  DOI. ADSCrossRefGoogle Scholar
  33. Kilcik, A., Özgüc, A., Yurchyshyn, V.B., Rozelot, J.P.: 2014, Solar Phys. 289, 4365.  DOI. ADSCrossRefGoogle Scholar
  34. Knaack, R., Stenflo, J.O., Berdyugina, S.V.: 2005, Astron. Astrophys. 438, 1067.  DOI. ADSCrossRefGoogle Scholar
  35. Krivova, N.A., Solanki, S.K.: 2002, Astron. Astrophys. 394, 701.  DOI. ADSCrossRefGoogle Scholar
  36. Kuhn, K.G., Albrecht, K.G., Dickie, R.H.: 1998, Science 242, 908.  DOI. ADSCrossRefGoogle Scholar
  37. Lean, J.L., Brueckner, G.E.: 1989, Astrophys. J. 337, 568.  DOI. ADSCrossRefGoogle Scholar
  38. Nesme-Ribes, E., Ferreira, E.N., Mein, P.: 1993, Astron. Astrophys. 274, 563. ADSGoogle Scholar
  39. Obridko, V.N., Shelting, B.D.: 2000, Astron. Rep. 44, 262.  DOI. ADSCrossRefGoogle Scholar
  40. Obridko, V.N., Shelting, B.D.: 2007, Adv. Space Res. 40, 1006.  DOI. ADSCrossRefGoogle Scholar
  41. Özgüc, A., Atac, T., Rybák, J.: 2003, Solar Phys. 214, 375.  DOI. ADSCrossRefGoogle Scholar
  42. Pap, J., Bouwer, S.D., Tobiska, W.K.: 1990, Solar Phys. 129, 165.  DOI. ADSCrossRefGoogle Scholar
  43. Richardson, J.D., Paularena, K.I., Belcher, J.W., Lazarus, A.J.: 1994, Geophys. Res. Lett. 21, 1559.  DOI. ADSCrossRefGoogle Scholar
  44. Rieger, E., Kanbach, G., Reppin, C., Share, G.H., Forrest, D.J., Chupp, E.L.: 1984, Nature 312, 623.  DOI. ADSCrossRefGoogle Scholar
  45. Scafetta, N., Willson, R.C.: 2013, Pattern Recogn. Phys. 1, 123.  DOI. ADSCrossRefGoogle Scholar
  46. Singh, J., Prabhu, T.P.: 1985, Solar Phys. 97, 203.  DOI. ADSCrossRefGoogle Scholar
  47. Sivaraman, K.R., Sivaraman, H., Gupta, S.S., Howard, R.: 2003, Solar Phys. 214, 65.  DOI. ADSCrossRefGoogle Scholar
  48. Tan, B.: 2011, Astrophys. Space Sci. 332, 65.  DOI. ADSCrossRefGoogle Scholar
  49. Torrence, Ch., Compo, G.P.: 1998, Bull. Am. Meteorol. Soc. 79, 61.  DOI. ADSCrossRefGoogle Scholar
  50. Ulrich, R.K.: 2001, Astrophys. J. 560, 466.  DOI. ADSCrossRefGoogle Scholar
  51. Ulrych, T.J., Bishop, T.N.: 1975, Rev. Geophys. Space Phys. 13, 183.  DOI. ADSCrossRefGoogle Scholar
  52. Ward, F.: 1965, Astrophys. J. 141, 534.  DOI. ADSCrossRefGoogle Scholar
  53. Wilson, I.R.G.: 2013, Pattern Recogn. Phys. 1, 147.  DOI. ADSCrossRefGoogle Scholar
  54. Wilson, I.R.G., Carter, B.D., Waite, I.A.: 2008, Publ. Astron. Soc. Aust. 25, 85.  DOI. ADSCrossRefGoogle Scholar
  55. Wolff, C.L.: 1983, Astrophys. J. 264, 667.  DOI. ADSCrossRefGoogle Scholar
  56. Wolff, C.L., Patrone, P.N.: 2010, Solar Phys. 266, 227.  DOI. ADSCrossRefGoogle Scholar
  57. Wood, R.M., Wood, K.D.: 1965, Nature 208, 129.  DOI. ADSCrossRefGoogle Scholar
  58. Zaqarashvili, T.V.: 1997, Astrophys. J. 487, 930.  DOI. ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.BengaluruIndia
  2. 2.National Solar ObservatoryTucsonUSA

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