Abstract
Using Greenwich data on sunspot groups during 1874–1976, we have studied the temporal variations in the differential rotation parametersA andB by determining their values during moving time intervals of lengths 1–5 yr successively displaced by 1 yr. FFT analysis of the temporal variations ofB (orB/A) shows periodicities 18.3 ± 3 yr, 8.5 ± 1 yr, 3.9 ± 0.5 yr, 3.1 ± 0.2 yr, and 2.6 ± 0.2 yr at levels ≥ 2σ. This analysis also shows five more periodicities at levels 1–2σ. The maximum entropy method is used to set narrower limits on the values of these periods. The reality of the existence of all these periodicities ofB (orB/A ) except the one at 2.8 yr is confirmed by analyzing the simulated time series ofB andB/A with values ofA andB randomly distributed within the limits of their respective uncertainties. Four of the prominent periods ofB agree, within their uncertainties, with the known periods in the the large-scale photospheric magnetic field. The deviations from the average differential rotation are larger near the sunspot minima. On longer time scales, the variations in the amount of sunspot activity per unit time are well correlated to the variations in the amplitudes of the ‘torsional oscillation’ represented by the 22-yr periodicity inB. All the periods inB found here are in good agreement with the synodic periods of two or more consecutive planets. The possibility of planetary configurations providing perturbations needed for the Sun's MHD torsional oscillations is speculated upon and briefly discussed.
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Arévalo, M. J., Gomez, R., Vázquez, M., Balthasar, H., and Wöhl, H.: 1982,Astron. Astrophys. 111, 266.
Balthasar, H. and Wöhl, H.: 1980,Astron. Astrophys. 92, 111.
Balthasar, H., Vázquez, M., and Wöhl, H.: 1986,Astron. Astrophys. 155, 87.
Blizard, J. B.: 1981,Bull. Am. Astron. Soc. 13, 876.
Bracewell, R. N.: 1988,Monthly Notices Roy. Astron. Soc. 230, 535.
Brault, J. W. and White, O. R.: 1971,Astron. Astrophys. 13, 169.
Clark, D. H., Yallop, B. D., Richard, S., Emerson, B., and Rudd, P. J.: 1979,Nature 280, 299.
Csada, I. K.: 1974,Solar Phys. 35, 325.
Fairbridge, R. W. and Shirley, J. H.: 1987,Solar Phys. 110, 191.
Gilman, P. A.: 1992, in Karen L. Harvey (ed.), ‘The Solar Cycle’,ASP Conf. Series 27, 241.
Gilman, P. A. and Howard, R.: 1984,Astrophys. J. 283, 385.
Gokhale, M H. and Javaraiah, J.: 1990, in E. R. Priest and V. Krishan (eds.), ‘Basic Plasma Process on the Sun’,IAU Symp. 142, 119.
Gokhale, M. H. and Javaraiah, J.: 1995,Solar Phys., in press.
Gokhale, M. H., Javaraiah, J., Kutty, K. N., and Varghese, B. A.: 1992,Solar Phys. 138, 35.
Hanslmeier, A. and Lustig, G.: 1986,Astron Astrophys. 154, 227.
Hathaway, D. H. and Wilson, R. M.: 1990,Astrophys. J. 357, 271.
Howard, R. and LaBonte, B. J.: 1980,Astrophys. J. 239, L33.
Howard, R. and LaBonte, B. J.: 1986, in J. O. Stenflo (ed.), ‘Solar and Stellar Magnetic Fields: Origin and Coronal Effects’,IAU Symp. 102, 101.
Jose, P. D.: 1965,Astron. J. 70, 193.
Kambry, M. A. and Nishikawa, J.: 1990,Solar Phys. 126, 89.
Komm, R. W., Howard, R. F. and Harvey, J. W.: 1993,Solar Phys. 143, 19.
LaBonte, B. J. and Howard, R.: 1982,Solar Phys. 75, 161.
Levy, E. H.: 1992, in Karen L. Harvey (ed.), ‘The Solar Cycle’,ASP Conf. Series 27, 139.
Lustig, G.: 1983,Astron. Astrophys. 125, 355.
Paternò, L., Spadaro, D., Zappala, R. A., and Zuccarello, F.: 1991,Astron. Astrophys. 252, 337.
Rosner, R. and Weiss, N.O.: 1992, in Karen L. Harvey (ed.), ‘The Solar Cycle’,ASP Conf. Series 27, 511.
Sakurai, K.: 1977,Nature 269, 401.
Schüssler, M.: 1987, B. R. Durney and S. Sofia (eds.), ‘The Internal Solar Angular Velocity’,Astro-physics and Space Science Library 137, 303.
Snodgrass, H. B.: 1991,Astrophys. J. 383, L85.
Stenflo, J. O. and Vogel, M.: 1986,Nature 319, 285.
Tuominen, J. and Kyröläinen, J.: 1981,Solar Phys. 74, 153.
Tuominen, J., Tuominen, I., and Kyröläinen, J.: 1983,Monthly Notices Roy. Astron. Soc. 205, 691.
Ulrych, T. J. and Bhishop, T. N.: 1975,Rev. Geophys. Space Phys. 13, 183.
Walén, C.: 1944,Arkiv Mat. Astron. Fys. 30A, No. 15.
Ward, F.: 1965,Astrophys. J. 141, 534.
Ward, F.: 1966,Astrophys. J. 145, 416.
Wolf, C. L.: 1976,Astrophys. J. 205, 612.
Wood, R. M. and Wood, K. D.: 1965,Nature 208, 129.
Yoshimura, H. and Kambry, M. A.: 1993a,Solar Phys. 143, 205.
Yoshimura, H. and Kambry, M. A.: 1993b,Solar Phys. 148, 11.
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Javaraiah, J., Gokhale, M.H. Periodicities in the solar differential rotation, surface magnetic field and planetary configurations. Sol Phys 158, 173–195 (1995). https://doi.org/10.1007/BF00680841
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DOI: https://doi.org/10.1007/BF00680841