Log in

Understanding the long-term evolution of green line coronal emission and its relation to the sunspots

  • Research
  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

Significant association between flux emergence and the complexity of the involved processes in the solar corona could be substantial in estimating magnetic field activities and related driving mechanisms. In this study, we analysed solar magnetic activity in the time period between 1939 and 2022, covering solar cycles 17 to the present cycle 25. Our study was principally based on green coronal intensity, which was calculated using observations collected from a global network of coronal stations. Specifically, we utilized the homogenized Fe XIV 530.3 nm coronal emission line provided by the Astronomical Institute of the Slovak Academy of Sciences, as well as of the International Sunspot number index. The analyses were carried out using the Cross-Correlation and Empirical Mode Decomposition techniques. Firstly, the study found that there are strong and positive correlations between the two indices, with high coefficients specifically during the examined solar cycles. Secondly, the empirical mode decomposition technique reveals unique properties of the intrinsic mode functions (IMFs), highlighting distinctions between the emergence of sunspots and green coronal emissions based on their various modulations. Indeed, these IMFs are most likely closely linked to the magnetic flux rope structure and indirectly connected with the emergence of sunspot events. The observed lag between MCI and the SSN could potentially be linked to the dynamics between coronal response time and the evolutions of active regions. Furthermore, there is a steady decrease observed in the green coronal index from solar cycle 17 to the current cycle 25 that could be attributed to waning behaviour of solar magnetic field strength. This decline can also be regarded as evidence of the Centennial Gleissberg solar activity cycle during the descending phase. Interestingly, the green coronal index exhibits a significant degree of phase synchronization with sunspot numbers, suggesting that the intricate relationship between green coronal intensity and sunspot numbers can be potentially driven by processes such as heating, the formation of active coronal regions, and the emergence of magnetic flux.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

Notes

  1. https://www.kozmos-online.sk/slnko/modifikovany-koronalny-index-modified-coronal-index/.

  2. http://sidc.be/silso/datafiles/.

References

  • Alfvén, H.: Existence of electromagnetic-hydrodynamic waves. Nature 150(3805), 405–406 (1942)

    ADS  Google Scholar 

  • Altrock, R.: Solar and stellar coronal structure and dynamics; Proceedings of the ninth Sacramento peak summer symposium, Sunspot, NM, Aug. 17–21, 1987. Tech. rep., National Solar Observatory, Sunspot, NM (1988)

  • Ataç, T., Özgüç, A.: Flare index during the rising phase of solar cycle 23. Sol. Phys. 198, 399–407 (2001)

    ADS  Google Scholar 

  • Badalyan, O.: Relationship between the brightness in the coronal green line and magnetic fields on various scales. Astron. Rep. 57, 222–232 (2013)

    ADS  Google Scholar 

  • Badalyan, O., Bludova, N.: Relation of the green coronal line intensity to sunspot areas and magnetic fields of different scales. Sol. Syst. Res. 48, 305–315 (2014)

    ADS  Google Scholar 

  • Bludova, N.: On the correspondence between the coronal green-line brightness, magnetic field strength and some sunspot activity indices. Astron. Astrophys. Trans. 24(1), 39–44 (2005)

    ADS  Google Scholar 

  • Bludova, N., Badalyan, O.: Relation of the coronal green line intensity to magnetic fields and sunspot areas in the solar cycle. Astron. Lett. 32, 698–706 (2006)

    ADS  Google Scholar 

  • Bludova, N., Obridko, V., Badalyan, O.: The relative umbral area in spot groups as an index of cyclic variation of solar activity. Sol. Phys. 289, 1013–1028 (2014)

    ADS  Google Scholar 

  • Cameron, R.H., Schuessler, M.: Solar activity: periodicities beyond 11 years are consistent with random forcing. Astron. Astrophys. 625, A28 (2019)

    ADS  Google Scholar 

  • Ellison, M.: Die sonnenkorona-struktur und variationen der korona: M. waldmeier: Band ll. birkhäuser verlag, basel und stuttgart, 1957. 353 pp., 299 diagrams, 68.50 sfr. J. Atmos. Terr. Phys. 12(1), 87–88 (1958). https://doi.org/10.1016/0021-9169(58)90015-1. https://www.sciencedirect.com/science/article/pii/0021916958900151

    Article  ADS  Google Scholar 

  • Elmhamdi, A., Roman, M.T., Penãloza-Murillo, M.A., et al.: Impact of the eclipsed sun on terrestrial atmospheric parameters in desert locations: a comprehensive overview and two events case study in Saudi Arabia. Atmosphere 15(1), 62 (2024)

    ADS  Google Scholar 

  • Feynman, J., Ruzmaikin, A.: The centennial Gleissberg cycle and its association with extended minima. J. Geophys. Res. Space Phys. 119(8), 6027–6041 (2014)

    ADS  Google Scholar 

  • Habbal, S.R., Druckmüller, M., Morgan, H., et al.: Thermodynamics of the solar corona and evolution of the solar magnetic field as inferred from the total solar eclipse observations of 2010 July 11. Astrophys. J. 734(2), 120 (2011)

    ADS  Google Scholar 

  • Hagino, M., Sakurai, T., Miyazawa, A.: Phase relationship between the activity cycles of sunspots and polar faculae. In: The Solar-B Mission and the Forefront of Solar Physics, p. 157 (2004)

    Google Scholar 

  • Huang, N.E., Wu, Z.: A review on Hilbert-Huang transform: method and its applications to geophysical studies. Rev. Geophys. 46(2), RG2006 (2008)

    ADS  MathSciNet  Google Scholar 

  • Huang, N.E., Long, S.R., Shen, Z.: The mechanism for frequency downshift in nonlinear wave evolution. Adv. Appl. Mech. 32, 59–117 (1996)

    Google Scholar 

  • Huang, N.E., Shen, Z., Long, S.R., et al.: The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. R. Soc. Lond. Proc., Ser. A, Math. Phys. Eng. Sci. 454(1971), 903–995 (1998)

    ADS  MathSciNet  Google Scholar 

  • Huang, N.E., Shen, Z., Long, S.R.: A new view of nonlinear water waves: the Hilbert spectrum. Annu. Rev. Fluid Mech. 31(1), 417–457 (1999)

    ADS  MathSciNet  Google Scholar 

  • Le, G.M., Wang, J.L.: Wavelet analysis of several important periodic properties in the relative sunspot numbers. Chin. J. Astron. Astrophys. 3(5), 391 (2003)

    ADS  Google Scholar 

  • Liu, X., Zeng, S., Deng, L., et al.: Predicting the 25th and 26th solar cycles using the long short-term memory method. Publ. Astron. Soc. Jpn. 75(3), 691–699 (2023)

    ADS  Google Scholar 

  • Mancuso, S., Lee, T., Taricco, C., et al.: Multivariate analysis of intermediate periodicities of the green corona. Proc. Int. Astron. Union 13(S340), 57–58 (2018)

    Google Scholar 

  • Minarovjech, M., Rybanskỳ, M., Rušin, V.: Periodic variations in the coronal green line intensity and their connection with the white-light coronal structures. J. Astrophys. Astron. 21, 197–200 (2000)

    ADS  Google Scholar 

  • Minarovjech, M., Rušin, V., Saniga, M.: The green corona database and the coronal index of solar activity. Contrib. Astron. Obs. Skaln. Pleso 41, 137–141 (2011)

    ADS  Google Scholar 

  • Oloketuyi, J., Liu, Y., Zhao, M.: The periodic and temporal behaviors of solar X-ray flares in solar cycles 23 and 24. Astrophys. J. 874(1), 20 (2019)

    ADS  Google Scholar 

  • Oloketuyi, J., Liu, Y., Amanambu, A.C., et al.: Responses and periodic variations of cosmic ray intensity and solar wind speed to sunspot numbers. Adv. Astron. 2020, Article ID 3527570 (2020)

    ADS  Google Scholar 

  • Oloketuyi, J., Liu, Y., Elmhamdi, A.: Investigating the associations between solar flares and magnetic complexity of active regions. New Astron. 100, 101972 (2023)

    Google Scholar 

  • Raju, K., Chandrasekhar, T., Ashok, N.: Analysis of coronal green line profiles: evidence of excess blueshifts. Astrophys. J. 736(2), 164 (2011)

    ADS  Google Scholar 

  • Ramesh, K., Nagabhushana, B., Varghese, B.: Green coronal intensity enhancements and their relation to the underlying photospheric/chromospheric activity. Sol. Phys. 188, 99–113 (1999)

    ADS  Google Scholar 

  • Ramesh, K., Nagabhushana, B., Varghese, B.: The enhanced coronal green line intensity and the magnetic field gradients. J. Astrophys. Astron. 21, 419–420 (2000)

    ADS  Google Scholar 

  • Rusin, V.: The N-S asymmetry of the solar emission corona in the years 1965–1978. Bull. Astron. Inst. Czechoslov. 31(1), 9–13 (1980)

    ADS  Google Scholar 

  • Rušin, V., Rybansky, M.: The green corona and magnetic fields. Sol. Phys. 207, 47–61 (2002)

    ADS  Google Scholar 

  • Rybansky, M., Rusin, V.: The total brightness of the corona during the solar eclipse of February 16, 1980. Bull. Astron. Inst. Czechoslov. 36(2), 73–77 (1985)

    ADS  Google Scholar 

  • Rybansky, M., Rusin, V.: Homogeneous data set of coronal green line intensities over the period 1964–1990. Contrib. Astron. Obs. Skaln. Pleso 22, 229–230 (1992)

    ADS  Google Scholar 

  • Rybansky, M., Tyagun, N.: The projection effect when solar activity phenomena are mapped in galactic coordinates. Pism’a Astron. Zh. 6, 179–181 (1980)

    ADS  Google Scholar 

  • Rybansky, M., Rusin, V., Dzifcáková, E.: Solar 530.3 nm corona irradiance variations in the cycle 21. Publ. Astron. Inst. Czechoslov. Acad. Sci. 1, 85–87 (1987)

    Google Scholar 

  • Rybanskỳ, M., Rušin, V., Minarovjech, M., et al.: Reexamination of the coronal index of solar activity. J. Geophys. Res. Space Phys. 110(A8), A08106 (2005)

    ADS  Google Scholar 

  • Sha, F., Liu, Y., Zhang, X., et al.: Characterization and correction of the scattering background produced by dust on the objective lens of the Lijiang 10-cm coronagraph. Sol. Phys. 298(11), 139 (2023)

    ADS  Google Scholar 

  • Stenflo, J.: Evolution of solar magnetic fields over an 11-year period. Sol. Phys. 23, 307–339 (1972)

    ADS  Google Scholar 

  • Sỳkora, J.: The coronal responses to the large-scale and long-term phenomena of the lower layers of the sun. In: Symposium-International Astronomical Union, pp. 87–104. Cambridge University Press, Cambridge (1980)

    Google Scholar 

  • Sykora, J.: The large-scale behaviour of the green emission corona Fe XIV 530.3 nm over the last 4.5 solar activity cycles. Adv. Space Res. 14(4), 73–76 (1994)

    ADS  Google Scholar 

  • Tang, R., Fei, Y., Li, C., et al.: Periodic variations of solar corona index during 1939–2020. Universe 8(7), 375 (2022)

    ADS  Google Scholar 

  • Temmer, M., Veronig, A., Hanslmeier, A.: Does solar flare activity lag behind sunspot activity? Sol. Phys. 215, 111–126 (2003)

    ADS  Google Scholar 

  • To, A.S., James, A.W., Bastian, T., et al.: Understanding the relationship between solar coronal abundances and F10.7 cm radio emission. Astrophys. J. 948(2), 121 (2023)

    ADS  Google Scholar 

  • Waldmeier, M.: Die koronale kondensation bei der sonnenfinsternis vom 5. februar 1962. mit 5 textabbildungen. Z. Astrophys. 56, 291 (1963)

    ADS  Google Scholar 

  • Waldmeier, M.: Die Sonnenkorona: Beobachtungen der Korona 1939–1949, vol. 4. Springer, Berlin (2013)

    Google Scholar 

  • Wang, Y.M.: The radial interplanetary field strength at sunspot minimum as polar field proxy and solar cycle predictor. Astrophys. J. Lett. 961(2), L27 (2024)

    ADS  Google Scholar 

  • Wang, Y.M., Sheeley, N. Jr, Hawley, S., et al.: The green line corona and its relation to the photospheric magnetic field. Astrophys. J. 485(1), 419 (1997)

    ADS  Google Scholar 

  • Wang, Y., Guo, J., Li, G., et al.: Variation in cosmic-ray intensity lags sunspot number: implications of late opening of solar magnetic field. Astrophys. J. 928(2), 157 (2022)

    ADS  Google Scholar 

  • Wheatland, M., Litvinenko, Y.E.: Energy balance in the flaring solar corona. Astrophys. J. 557(1), 332 (2001)

    ADS  Google Scholar 

  • Zhang, X.F., Liu, Y., Zhao, M.Y., et al.: Comparison of the coronal green-line intensities with the EUV measurements from SDO/AIA. Res. Astron. Astrophys. 22(7), 075012 (2022)

    ADS  Google Scholar 

  • Zhao, M., Chen, J., Liu, Y.: Statistical analysis of sunspot groups and flares for solar maximum and minimum. Sci. Sin. Phys., Mech. Astron. 44, 109–120 (2014)

    Google Scholar 

Download references

Acknowledgements

We would like to express our gratitude to the providers of data used; Astronomical Institute, Slovak Academy of Sciences for the Modified Coronal Index and the Sunspot Index and Long-term Solar Observations for the Sunspot data.

Funding

This study is supported by the National Natural Science Foundation of China (NSFC 12373063,11533009) and the 25-cm Coronagraph Development Project. The research work of A. Elmhamdi in this project was supported by King Saud University, Deanship of Scientific Research, College of Science Research Center. This work also received support from “Yunnan Revitalization Talent Support Program” Innovation Team Project (202405AS350012), and the Yunnan Fundamental Research Projects (grant No. 202301AV070007).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu Liu.

Ethics declarations

Competing Interests

There is no conflict of interests.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Oloketuyi, J., Liu, Y., Elmhamdi, A. et al. Understanding the long-term evolution of green line coronal emission and its relation to the sunspots. Astrophys Space Sci 369, 35 (2024). https://doi.org/10.1007/s10509-024-04300-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10509-024-04300-y

Keywords

Navigation