Advertisement

Astrophysics and Space Science

, Volume 332, Issue 1, pp 73–79 | Cite as

Power law relating 10.7 cm flux to sunspot number

  • Robert W. Johnson
Original Article

Abstract

To investigate the relation between observations of the 10.7 cm flux and the international sunspot number so that a physical unit may be ascribed to historical records, both polynomial and power law models are developed giving the radio flux as a function of sunspot number and vice versa. Bayesian data analysis is used to estimate the model parameters and to discriminate between the models. The effect on the parameter uncertainty and on the relative evidence of normalizing the measure of fit is investigated. The power law giving flux as a function of sunspot number is found to be the most plausible model and may be used to estimate the radio flux from historical sunspot observations.

Keywords

10.7 cm flux Sunspot number Solar magnetic activity 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Covington, A.E.: J. R. Astron. Soc. Can. 63, 125 (1969) ADSGoogle Scholar
  2. D’Agostini, G.: ArXiv Physics e-prints (1998). Bayesian Statistics 6: Proceedings of the Sixth Valencia International Meeting (Oxford Science Publications). http://arxiv.org/abs/physics/9811045
  3. Durrett, R.: The Essentials of Probability. Duxbury Press, A Division of Wadsworth, Inc., Belmont (1994) Google Scholar
  4. Hathaway, D.H., Wilson, R.M., Reichmann, E.J.: Sol. Phys. 211, 357 (2002) CrossRefADSGoogle Scholar
  5. Johnson, R.W.: J. Geophys. Res. (Space Phys.) 114 A05105 (2009). doi: 10.1029/2009JA014172. http://www.agu.org/pubs/crossref/2009/2009JA014172.shtml CrossRefGoogle Scholar
  6. Johnson, R.W.: Astrophys. Space Sci. 4 (2010). doi: 10.1007/s10509-009-0249-6. http://www.springerlink.com/content/703288773149018m/
  7. Labitzke, K., van Loon, H.: Space Sci. Rev. 80(3), 393 (1997). doi: 10.1023/A:1004907126955. http://www.springerlink.com/content/u703647534qq8747 CrossRefADSGoogle Scholar
  8. Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P.: Numerical Recipes. CUP, Cambridge (1992) Google Scholar
  9. SIDC-team: Monthly Report on the International Sunspot Number, online catalogue (2008) Google Scholar
  10. Sivia, D.S.: Data Analysis: A Bayesian Primer. OUP, Oxford (1996) Google Scholar
  11. Sparavigna, A.: 2008 Recurrence plots of sunspots, solar flux and irradiance. arXiv:0804.1941. http://arxiv.org/abs/0804.1941 (2008)
  12. Svensmark, H.: Phys. Rev. Lett. 81(22), 5027 (1998). doi: 10.1103/PhysRevLett.81.5027 CrossRefADSGoogle Scholar
  13. Tapping, K.F., Detracey, B.: Sol. Phys. 127, 321 (1990). doi: 10.1007/BF00152171 CrossRefADSGoogle Scholar
  14. Thompson, R.: The sun and solar activity—the ten centimetre solar radio flux, IPS—Radio and Space Services, Bureau of Meteorology, Australia. http://www.ips.gov.au/Educational/2/2/5 (2010)
  15. Wilson, R.M., Rabin, D., Moore, R.L.: Sol. Phys. 111(2), 279 (1987). doi: 10.1007/BF00148520. http://www.springerlink.com/content/j0r4x36117558123 CrossRefADSGoogle Scholar
  16. Zhao, J., Han, Y.B.: Chin. J. Astron. Astrophys. 8(4), 472 (2008). http://stacks.iop.org/1009-9271/8/472 CrossRefMathSciNetADSGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Alphawave ResearchAtlantaUSA

Personalised recommendations