Analysis of the Components of a Different Physical Nature in the Interannual Variability of the Total Solar Irradiance Flux


By its physical nature, the interannual variability of the solar radiation arriving at the Earth is a duplex with varying ratios of the amplitudes of the components depending on the time resolution. The analysis shows that the amplitude of the long-term variability of the radiation intensity is approximately 95% determined by the variations related to changes in the solar activity. At an annual resolution, the component determined by the solar activity is predominant in amplitude (approximately 80%). At a monthly resolution, the leading component of the duplex is the variation caused by the celestial-mechanical processes (approximately 55%). Thus, the interannual variations determined by the celestial-mechanical processes dominate in the interannual variability of incoming solar radiation within seasonal changes. The results point toward the necessity for a differentiated approach to the use of the values of the interannual solar radiation variability of different physical nature in the climatic models since their weight ratios depend on the time resolution.

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  1. 1

    Borisenkov, E.P., Tsvetkov, A.V., and Eddy, J.A., Combined effects of Earth orbit perturbations and solar activity on terrestrial insolation. Part 1: Sample days and annual mean values, J. Atmos. Sci., 1985, vol. 42, no. 9, pp. 933–940.

    ADS  Article  Google Scholar 

  2. 2

    Climate Change 2013: The Physical Science Basis. Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change, Ch. 8: Anthropogenic and Natural Radiative Forcing, Cambridge: Cambridge Univ. Press, 2013, pp. 659–740.

  3. 3

    Fedorov, V.M., Interannual variability of the solar constant, Sol. Syst. Res., 2012, vol. 46, no. 2, pp. 170–176.

    ADS  Article  Google Scholar 

  4. 4

    Fedorov, V.M., Interannual variations in the duration of the tropical year, Dokl. Earth Sci., 2013, vol. 451, no. 1, pp. 750–753.

    ADS  Article  Google Scholar 

  5. 5

    Fedorov, V.M., Spatial and temporal variations in solar climate of the earth in the present epoch, Izv., Atmos. Ocean. Phys., 2015, vol. 51, no. 8, pp. 779–791.

    Article  Google Scholar 

  6. 6

    Fedorov, V.M., Theoretical calculation of the interannual variability of the Earth`s insolation with daily resolution, Sol. Syst. Res., 2016, vol. 50, no. 3, pp. 220–224.

    ADS  Article  Google Scholar 

  7. 7

    Foukal, P., Fröhlich, C., Spruit, H., and Wigley, T.M.L., Variations in solar luminosity and their effect on the Earth’s climate, Nature, 2006, vol. 443, pp. 161–166.

    ADS  Article  Google Scholar 

  8. 8

    Fröhlich, C. and Lean, J., The Sun’s total irradiance: cycles, trends and climate change uncertainties since 1976, Geophys. Res. Lett., 1998, vol. 25, pp. 4377–4380.

    ADS  Article  Google Scholar 

  9. 9

    Fröhlich, C., Observations of irradiance variability, Space Sci. Rev., 2000, vol. 94, pp. 15–24.

    ADS  Article  Google Scholar 

  10. 10

    Fröhlich, C., Total solar irradiance observations, Surv. Geophys., 2012, vol. 33, pp. 453–473.

    ADS  Article  Google Scholar 

  11. 11

    JPL Solar System dynamics, Jet Propulsion Laboratory California Institute of Technology, NASA. http://

  12. 12

    Kopp, G. and Lean, J.L., A new, lover value of total solar irradiance: evidence and climate significance, Geophys. Res. Lett., 2011, vol. 38, p. L01706.

    ADS  Article  Google Scholar 

  13. 13

    Kopp, G., Fehlmann, A., Finsterle, W., Harber, D., Heuerman, K., and Willson, R., Total solar irradiance data record accuracy and consistency improvements, Metrologia, 2012, vol. 49, no. 2.

    ADS  Article  Google Scholar 

  14. 14

    Lean, J., Beer, J., and Bradley, R., Reconstruction of solar irradiance since 1610: Implications for climate change, Geophys. Res. Lett., 1995, vol. 22, pp. 3195–3198.

    ADS  Article  Google Scholar 

  15. 15

    Lean, J., Rottman, G., Harder, J., and Kopp, G., SORCE contributions to new understanding of global change and solar variability, Sol. Phys., 2005, vol. 230, pp. 27–53.

    ADS  Article  Google Scholar 

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Correspondence to V. M. Fedorov.

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Translated by M. Chubarova

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Fedorov, V.M. Analysis of the Components of a Different Physical Nature in the Interannual Variability of the Total Solar Irradiance Flux. Sol Syst Res 53, 376–382 (2019).

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  • solar radiation flux
  • solar radiation intensity
  • solar activity
  • celestial-mechanical processes
  • interannual variations