Search for periodicities of the Solar Irradiance Data from Earth Radiation Budget Satellite (ERBS) using Rayleigh Power Spectrum Analysis

The solar irradiance data plays a very important role for understanding of Solar internal Structure and the solar terrestrial relationships. The Total Solar Irradiance (TSI) is integrated solar energy flux over the entire spectrum which arrives at the top of the atmosphere at the mean sun earth distance. TSI has been monitored from several satellites, e.g. Nimbus 7, Solar Maximum Mission (SMM), The NASA, Earth Radiation Budget Satellite (ERBS), NOAA9, NOAA10, Eureca and the Upper Atmospheric Research Satellite (UARS) etc. From these observations it reveals that the total solar irradiance varies about a small fraction of 0.1 over solar cycle being higher during maximum solar activity condition. In the present paper we have analysed the solar irradiance data from ERBS during the time period from October 15, 1984 to October 15, 2003. First filtering the data by Simple Exponential Smoothing we have applied the Rayleigh Power Spectrum Analysis on the processed data in order to search for its time variation. Study exhibits multi-periodicities on these data around 7, 11, 42, 80, 104, 130, 160, 254, 536, 752, 1142, 1388, 2474 and 4951 days with very high confidence levels (more than 95%). Apart from these strong periods there are some other weak periods around 22, 47, 53, 67, 69, 149, 167, 365, 489 and 683 days. These periods are significantly similar with the periods of other solar activities which may suggest that solar irradiance may be associated with other solar activities.

[1]  Manoranjan Khan,et al.  Intermediate-term periodicities in sunspot areas during solar cycles 22 and 23 , 2009 .

[2]  J. Ballester,et al.  The Near 160 Day Periodicity in the Photospheric Magnetic Flux , 2002 .

[3]  R. L. Winkler,et al.  Averages of Forecasts: Some Empirical Results , 1983 .

[4]  P. Raychaudhuri Origin of stellar magnetic fields , 1972 .

[5]  H. Kiliç Short-Term Periodicities in Sunspot Activity and Flare Index Data during Solar Cycle 23 , 2009 .

[6]  S. Sofia,et al.  A Method for Incorporating the Effects of Large-Scale Magnetic Fields in the Study of Stellar Structure and Variability , 1995 .

[7]  Judit Pap,et al.  Periodicities of solar irradiance and solar activity indices, I , 1990 .

[8]  P. Chowdhury,et al.  Periodicities of solar electron flare occurrence: analysis of cycles 21–23 , 2006 .

[9]  S. Ferraz-Mello Estimation of Periods from Unequally Spaced Observations , 1981 .

[10]  T. K. Nag,et al.  A 14-day periodicity in the mean solar magnetic field , 1999 .

[11]  W. Song,et al.  A Study of the Periodicities of Solar Filament Activity , 2007 .

[12]  R. L. Winkler,et al.  The Combination of Forecasts , 1983 .

[13]  Y. Lou Rossby-Type Wave-Induced Periodicities in Flare Activities and Sunspot Areas or Groups during Solar Maxima , 2000 .

[14]  P. Raychaudhuri The Sun, C12/C13 abundance ratio and neutrino emission , 1971 .

[15]  R. J. Thompson,et al.  A 600-day periodicity in solar coronal holes , 1992, Nature.

[16]  K. Mardia Statistics of Directional Data , 1972 .

[17]  J. Grunsfeld,et al.  A 153 day periodicity in the occurrence of solar flares producing energetic interplanetary electrons , 1990 .

[18]  Robert L. Winkler,et al.  The accuracy of extrapolation (time series) methods: Results of a forecasting competition , 1982 .

[19]  P. Sturrock,et al.  Time-Series Analysis of Super-Kamiokande Measurements of the Solar Neutrino Flux , 2003, hep-ph/0304073.

[20]  J. Kuhn,et al.  The Surface Temperature of the Sun and Changes in the Solar Constant , 1988, Science.

[21]  C. Fröhlich,et al.  Multi-spectral analysis of total solar irradiance variations , 1989 .

[22]  E. Cliver,et al.  A 154-Day Periodicity in the Occurrence Rate of Proton Flares , 1990 .

[23]  Stephen B. Gabriel,et al.  Periodicities in the occurrence rate of solar proton events , 1990 .

[24]  T. Bai Periodicities in Solar Flare Occurrence: Analysis of Cycles 19-23 , 2003 .

[25]  A. Endal,et al.  Changes of solar luminosity and radius following secular perturbations in the convective envelope , 1985 .