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The Tendencies of Change of the Incoming Solar Radiation to the Upper Atmosphere Boundary and Their Spatial Localization


Satellite-based measurements of the total flow of incoming solar radiation arriving at the Earth (total solar irradiance (TSI)) have been carried out since 1977. By now, a continuous series of variations of the TSI is obtained. The 11-year cycle and its amplitude in multiyear variations of solar radiation are revealed. However, two mechanisms having different physical nature are defined in regulation of the incoming solar radiation to the Earth (with the atmosphere not accounted for), and in its distribution over the Earth surface (solar climate of the Earth). One mechanism is related to the variation in solar activity. Another mechanism is defined by celestial-mechanical processes, which alter the orbit elements of the Earth (Earth–Sun distance, duration of the tropical year, etc.), the Earth rotation axis tilt, and the relevant variations in the Earth’s insolation. The performed calculations of the insolation related to the celestial-mechanical processes were used as a basis for differentiating the satellite observational data on the changes of the TSI with respect to the mechanisms of different physical nature. It was made possible to estimate the contributions of the variation in solar activity and of the celestial-mechanical processes to the total incoming solar radiation.

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  1. Bertrand, C., Loutre, M.F., and Berger, A., High frequency variations of the Earth’s orbital parameters and climate change, Geophys. Res. Lett., 2002, vol. 29, no. 18, pp. 40-1–40-3.

  2. Budyko, M.I., Izmenenie klimata (Climate Change), Leningrad: Gidrometeoizdat, 1974.

  3. Drozdov, O.A., Vasil’ev, N.V., Raevskii, A.N., et al., Klimatologiya (Climatology), Leningrad: Gidrometeoizdat, 1989.

    Google Scholar 

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

    Article  Google Scholar 

  5. Fedorov, V.M., Interannual variations in the duration of the tropical year, Dokl., Earth Sci., 2013, vol. 451, pp. 750–753.

    Article  Google Scholar 

  6. Fedorov, V.M., Periodic perturbations and small variations of the solar climate of the Earth, Dokl., Earth Sci., 2014, vol. 457, no. 1, pp. 869–872.

    Article  Google Scholar 

  7. Fedorov, V.M., Latitudinal variability of incoming solar radiation in various time cycles, Dokl., Earth Sci., 2015a, vol. 460, no. 1, pp. 96–99.

    Article  Google Scholar 

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

    Article  Google Scholar 

  9. 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.

    Article  Google Scholar 

  10. Fedorov, V.M., Insolyatsiya Zemli i sovremennye izmeneniya klimata (The Earth’s Insolation and Current Climate Changes), Moscow: Fizmatlit, 2018.

  11. 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., 2019a, vol. 53, no. 5, pp. 70–76.

    Article  Google Scholar 

  12. Fedorov, V.M., Earth’s insolation variation and its incorporation into physical and mathematical climate models, Phys.–Usp., 2019b, vol. 62, no. 1, pp. 32–45.

    Article  Google Scholar 

  13. Giorgini, J.D., Yeomans, D.K., Chamberlin, A.B., Chodas, P.W., Jacobson, R.A., Keesey, M.S., Lieske, J.H., Ostro, S.J., Standish, E.M., and Wimberly, R.N., JPL’s on-line solar system data service, Bull. Am. Astron. Soc., 1996, vol. 28, no. 3, p. 1158.

    Google Scholar 

  14. Jet Propulsion Laboratory, Solar System Dynamics. http://

  15. Khromov, S.P. and Petrosyants, M.A., Meteorologiya i klimatologiya (Meteorology and Climatology), Moscow: MGU, 2006.

  16. Kopp, G. and Lean, J., A new lower value of total solar irradiance: evidence and climate significance, Geophys. Res. Lett., 2011, vol. 37, no. 1, p. L01706.

    Article  Google Scholar 

  17. Milankovich, M., Matematicheskaya klimatologiya i astronomicheskaya teoriya kolebanii klimata (Mathematical Climatology and Astronomical Theory of Climate Fluctuations), Moscow-Leningrad: GONTI, 1939.

  18. Monin, A.S., Vvedenie v teoriyu klimata (Introduction to the Climate Theory), Leningrad: Gidrometeoizdat, 1982.

  19. Monin, A.S. and Shishkov, Yu.A., Climate as a problem of physics, Phys.-Usp., 2000, vol. 43, no. 4, pp. 381–406.

    Article  Google Scholar 

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This work was performed according to the subject of the State Task AAAA-A16–116032810055-0 and AAAA-A16-116032810093-2.

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Correspondence to V. M. Fedorov.

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Translated by M. Samokhina

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Fedorov, V.M., Sokratov, S.A. & Frolov, D.M. The Tendencies of Change of the Incoming Solar Radiation to the Upper Atmosphere Boundary and Their Spatial Localization. Izv. Atmos. Ocean. Phys. 56, 1034–1041 (2020).

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