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http://dx.doi.org/10.5140/JASS.2011.28.2.103

Short Periodicities in Latitudinal Variation of Sunspots  

Kim, Bang-Yeop (Geostationary Satellite Control Department, Satellite Operations and Application Division, Korea Aerospace Research Institute)
Chang, Heon-Young (Department of Astronomy and Atmospheric Sciences, Kyungpook National University)
Publication Information
Journal of Astronomy and Space Sciences / v.28, no.2, 2011 , pp. 103-108 More about this Journal
Abstract
The latitudinal variation of sunspots appearing during the period from 1874 to 2009 has been studied in terms of centerof-latitude (COL). The butterfly diagram has been used to study the evolution of the magnetic field and the dynamics at the bottom of the solar convection zone. Short-term periodicities have been of particular interest, in that they are somehow related to the structure and dynamics of the solar interior. We thus have focused our investigation on shortterm periodicities. We first calculated COL by averaging the latitude of sunspots with the weight function in area. Then, we analyzed the time series of COL using the wavelet transform technique. We found that a periodicity of ~5 years is the most dominant feature in the time series of COL, with the exception of the ~11 year solar cycle itself. This periodicity can be easily understood by considering small humps between the minima in the area-weighted butterfly diagram. However, we find that periodicities of ~1.3 (0.064), ~1.5 (0.056), or ~1.8 (0.046) years ($\frac{1}{month}$), month ), which have been previously suggested as evidence of links between the changing structure of the sunspot zone and the tachocline rotation rate oscillations, are insignificant and inconsistent. We therefore conclude that the only existing short-term periodicity is of ~5 years, and that periodicities of ~1.3, ~1.5, or ~1.8 years are likely to be artifacts due to random noise of small sunspots.
Keywords
Sun; sunspots; data analysis;
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1 Zolotova NV, Ponyavin DI, Was the unusual solar cycle at the end of the XVIII century a result of phase asynchronization?, A&A, 470, L17-L20 (2007). doi: 10.1051/0004-6361:20077681   DOI
2 Zolotova NV, Ponyavin DI, Marwan N, Kurths J, Long-term asymmetry in the wings of the butterfly diagram, A&A, 503, 197-201 (2009). doi: 10.1051/0004-6361/200811430   DOI
3 Solanki SK, Wenzler T, Schmitt D, Moments of the latitudinal dependence of the sunspot cycle: a new diagnostic of dynamo models, A&A, 483, 623-632 (2008). doi: 10.1051/0004-6361:20054282   DOI
4 Temmer M, Rybák J, Bendik P, Veronig A, Vogler F, et al., Hemispheric sunspot numbers Rn and Rs from 1945-2004: catalogue and N-S asymmetry analysis for solar cycles 18-23, A&A, 447, 735-743 (2006). doi: 10.1051/0004-6361:20054060   DOI
5 Temmer M, Veronig A, Hanslmeier A, Hemispheric sunspot numbers Rn and Rs: catalogue and N-S asymmetry analysis, A&A, 390, 707-712 (2002). doi: 10.1051/0004-6361:20020758   DOI
6 Ternullo M, The butterfly diagram fine structure, SoPh, 240, 153-164 (2007a). doi: 10.1007/s11207-006-0261-8   DOI
7 Tuominen J, On the dependence of the systematic drift of sunspots in heliographic latitude on phase in the 22-year cycle of the Sun. With 3 figures, ZA, 30, 261-274 (1952).
8 Ternullo M, Looking inside the butterfly diagram, AN, 328, 1023-1032 (2007b). doi: 10.1002/asna.200710868   DOI
9 Ternullo M, The butterfly diagram internal structure, Ap&SS, 328, 301-305 (2010a). doi: 10.1007/s10509-010-0270-9   DOI
10 Ternullo M, The butterfly diagram internal structure, MSAIS, 14, 202-205 (2010b).
11 Waldmeier M, Der langeSonnenzyklus. Mit 3 Textabbildungen, ZA, 43, 149-160 (1957).
12 Waldmeier M, The asymmetry of solar activity in the years 1959-1969, SoPh, 20, 332-344 (1971). doi: 10.1007/BF00159763   DOI
13 Wolf R, Schreiben des Herrn Prof. R. Wolf, Directors der Sternwarte in Zurich an den Herausgeber, AN, 56, 355-358 (1862). doi: 10.1002/asna.18620562303   DOI
14 Zolotova NV, Ponyavin DI, Phase asynchrony of the North-South sunspot activity, A&A, 449, L1-L4 (2006). doi: 10.1051/0004-6361:200600013   DOI
15 Li KJ, Latitude migration of solar filaments, MNRAS, 405, 1040-1046 (2010). doi: 10.1111/j.1365-2966.2010.16508.x   DOI
16 Li KJ, Gao PX, Zhan LS, Synchronization of hemispheric sunspot activity revisited: wavelet transform analyses, ApJ, 691, L537-L540 (2009a). doi: 10.1088/0004-637X/691/1/537   DOI
17 Li KJ, Gao PX, Zhan LS, Synchronization of sunspot numbers and sunspot areas, SoPh, 255, 289-300 (2009b). doi: 10.1007/s11207-009-9328-7   DOI
18 Li KJ, Liang HF, Yun HS, Gu XM, Statistical behavior of sunspot groups on the solar disk, SoPh, 205, 361-370 (2002).doi: 10.1023/A:1014288424727   DOI
19 Li KJ, Gao PX, Zhan LS, Shi XJ, Zhu WW, On the asynchronization of hemispheric high-latitude solar activity, MNRAS, 391, L34-L38 (2008). doi: 10.1111/j.1745-3933.2008.00551.x   DOI
20 Li KJ, Liang H-F, Feng W, Phase shifts of the paired wings of butterfly diagrams, RAA, 10, 1177-1185 (2010a). doi: 10.1088/1674-4527/10/11/008   DOI
21 Li KJ, Liu XH, Gao PX, Zhan LS, The North-South asymmetry of filaments in solar cycles 16-21, NewA, 15, 346-350 (2010b). doi: 10.1016/j.newast.2009.09.009   DOI
22 Nagovitsyn YA, A nonlinear mathematical model for the solar cyclicity and prospects for reconstructing the solar activity in the past, AstL, 23, 742-748 (1997).
23 Pelt J, Brooke J, Pulkkinen PJ, Tuominen I, A new interpretation of the solar magnetic cycle, A&A, 362, 1143-1150 (2000).
24 Pulkkinen PJ, Brooke J, Pelt J, Tuominen I, Long-term variation of sunspot latitudes, A&A, 341, L43-L46 (1999).
25 Schwabe HS, Die Sonne, AN, 20, 283-286 (1843). doi: 10.1002/asna.18430201706   DOI
26 Goel A, Choudhuri AR, The hemispheric asymmetry of solar activity during the last century and the solar dynamo, RAA, 9, 115-126 (2009). doi: 10.1088/1674-4527/9/1/010   DOI
27 Grossmann A, Morlet J, Decomposition of Hardy functions into square integrable wavelets of constant shape, SIAM J Math Anal, 15, 723-736 (1984). doi: 10.1137/0515056   DOI
28 Hathaway DH, Nandy D, Wilson RM, Reichmann EJ, Evidence that a deep meridional flow sets the sunspot cycle period, ApJ, 589, 665-670 (2003). doi: 10.1086/374393   DOI
29 Howe R, Christensen-Dalsgaard J, Hill F, Komm RW, Larsen RM, et al., Dynamic variations at the base of the solar convection zone, Sci, 287, 2456-2460 (2000). doi: 10.1126/science.287.5462.2456   DOI   ScienceOn
30 Howard R, LaBonte BJ, The sun is observed to be a torsional oscillator with a period of 11 years, ApJ, 239, L33-L36 (1980). doi: 10.1086/183286   DOI
31 Howe R, Christensen-Dalsgaard J, Hill F, Komm R, Schou J, et al., Temporal variations in solar rotation at the bottom of the convection zone: The current status, AdSpR, 40, 915-918 (2007). doi: 10.1016/j.asr.2006.12.047   DOI
32 Javaraiah J, Long-term variations in the solar differential rotation, SoPh, 212, 23-49 (2003). doi: 10.1023/A:1022912430585   DOI
33 Knaack R, Stenflo JO, Berdyugina SV, Evolution and rotation of large-scale photospheric magnetic fields of the Sun during cycles 21-23. Periodicities, north-south asymmetries and r-mode signatures, A&A, 438, 1067-1082 (2005). doi: 10.1051/0004-6361:20042091   DOI
34 Krivova NA, Solanki SK, The 1.3-year and 156-day periodicities in sunspot data: wavelet analysis suggests a common origin, A&A, 394, 701-706 (2002). doi: 10.1051/0004-6361:20021063   DOI
35 Le G-M, Wang J-L, Wavelet analysis of several important periodic properties in the relative sunspot numbers, ChJAA, 3, L391-L394 (2003). doi: 10.1088/1009-9271/3/5/391   DOI
36 Antalova A, Gnevyshev MN, Principal characteristics of the 11-year solar activity cycle, SvA, 9, 198-201 (1965).
37 Chang H-Y, A new method for north-south asymmetry of sun spot area, JASS, 24, 261-268 (2007). doi: 10.5140/JASS.2007.24.4.261   DOI
38 Antalova A, Gnevyshev MN, Latitudinal distribution of sunspot areas during the period 1874-1976, CoSka, 11, 63-93 (1983).
39 Antia HM, Basu S, Temporal variations of the rotation rate in the solar interior, ApJ, 541, 442-448 (2000). doi: 10.1086/309421   DOI
40 Basu S, Antia HM, A study of possible temporal and latitudinal variations in the properties of the solar tachocline, MNRAS, 324, 498-508 (2001). doi: 10.1046/j.1365-8711.2001.04364.x   DOI
41 Chang H-Y, Stochastic properties in North-South asymmetry of sunspot area, NewA, 13, 195-201 (2008). doi: 10.1016/j.newast.2007.08.007   DOI
42 Chang H-Y, Periodicity of North-South asymmetry of sunspot area revisited: cepstrum analysis, NewA, 14, 133-138 (2009). doi: 10.1016/j.newast.2008.07.001   DOI
43 Cho I-H, Chang H-Y, Latitudinal distribution of sunspots revisited, JASS, 28,1-7 (2011). doi: 10.5140/JASS.2011.28.1.00   DOI
44 Donner R, Thiel M, Scale-resolved phase coherence analysis of hemispheric sunspot activity: a new look at the North-South asymmetry, A&A, 475, L33-L36 (2007). doi: 10.1051/0004-6361:20078672   DOI
45 Gleissberg W, Bemerkungen uber einen vermuteten extrasolaren Einfluss auf die Sonnentatigkeit, MitAG, 30, 151-153 (1971).