Skip to main content
Log in

Magnetic Helicity Budget of Solar-Active Regions from the Photosphere to Magnetic Clouds

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

Abstract

We have analyzed the long-term evolution of two active regions (ARs) from their emergence through their decay using observations from several instruments on board SoHO (MDI, EIT and LASCO) and Yohkoh/SXT. We have computed the evolution of the relative coronal magnetic helicity combining data from MDI and SXT with a linear force-free model of the coronal magnetic field. Next, we have computed the injection of helicity by surface differential rotation using MDI magnetic maps. To estimate the depletion of helicity we have counted all the CMEs of which these ARs have been the source, and we have evaluated their magnetic helicity assuming a one to one correspondence with magnetic clouds with an average helicity contain. When these three values (variation of coronal magnetic helicity, injection by differential rotation and ejection via CMEs) are compared, we find that surface differential rotation is a minor contributor to the helicity budget since CMEs carry away at least 10 times more helicity than the one differential rotation can provide. Therefore, the magnetic helicity flux needed in the global balance should come from localized photospheric motions that, at least partially, reflect the emergence of twisted flux tubes. We estimate that the total helicity carried away in CMEs can be provided by the end-to-end helicity of the flux tubes forming these ARs. Therefore, we conclude that most of the helicity ejected in CMEs is generated below the photosphere and emerges with the magnetic flux.

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

Access this article

Price includes VAT (Finland)

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Abbett, W.P., Fisher, G.F. and Fan, Y.: 2001, Astrophys. J. 546, 1194.

    Article  ADS  Google Scholar 

  • Alissandrakis, C.E.: 1981, Astron. Astrophys. 100, 197.

    ADS  Google Scholar 

  • Berger, M.A.: 1984, Geophys. Astrophys. Fluid. Dynamics 30, 79.

    ADS  Google Scholar 

  • Berger, M.A.: 1985, Astrophys. J. Sup. 59, 433.

    Article  ADS  Google Scholar 

  • Berger, M.A.: 1986, Geophys. Astrophys. Fluid. Dynamics 34, 265.

    MATH  ADS  Google Scholar 

  • Berger, M.A.: 1988, Astron. Astrophys. 201, 355.

    MATH  ADS  Google Scholar 

  • Berger, M.A.: 1999, Geophys. Mon. 111,1.

    MATH  Google Scholar 

  • Berger, M.A. and Field, G.B.: 1984, J. Fluid. Mech. 147, 133.

    Article  MathSciNet  ADS  Google Scholar 

  • Berger, T.A. and Lites, B.W.: 2003, Solar Phys. 213, 213.

    Article  ADS  Google Scholar 

  • Bothmer, V. and Schwenn, R.: 1994, Space Sci. Rev. 70, 215.

    Article  ADS  Google Scholar 

  • Brueckner, G.E., Howard, R.A., Koomen, M.J., Korendyke, C.M., Michels, D.J., Moses, J.D., Socker, D.G., Derc, K.P., Lamy, P.L., Llebaria, A., Bout, M.V., Schwenn, R., Simnett, G.M., Bedford, D.K. and Eyles, C.J.: 1995, Solar Phys. 162, 357.

    Article  ADS  Google Scholar 

  • Chae, J.: 2001, Astrophys. J. 560, L95.

    Article  ADS  Google Scholar 

  • Chae, J., Wang, H., Qiu, J., Goode, P.R., Strous, L. and Yun, H.S.: 2001, Astrophys. J. 560, 476.

    Article  ADS  Google Scholar 

  • Cliver, E.W. and Hudson, H.: 2002, J. Atmos. Solar Ter. Phys. 64, I2, 231.

    Article  ADS  Google Scholar 

  • Delaboudiniere, J.-P., Artzner, G.E., Brunaud, J., Gabriel, A.H., Hochedez, J.F., Millier, F., Song, X.Y., Au, B., Dere, K.P., Howard, R.A., Kreplin, R., Michels, D.J., Moses, J.D., Defise, J.M., Jamar, C., Rochus, P., Chauvineau, J.P., Marioge, J.P., Catura, R.C., Lemen, J.R., Shing, L., Stern, R.A., Gurman, J.B., Neupert, W.M., Maucherat, A., Clette, F., Cugnon, P. and van Dessel, E.L.: 1995, Solar Phys. 162, 291.

    Article  ADS  Google Scholar 

  • D´emoulin, P. and Berger, M.A.: 2003, Sol. Phys. 215, 203.

    Article  ADS  Google Scholar 

  • D´emoulin, P., Mandrini, C.H., van Driel-Gesztelyi, L., Thompson, B.J., Plunkett, S., Kov´ari, Zs., Aulanier, G. and Young, A.: 2002, Astron. Astrophys. 382, 650.

    Article  ADS  Google Scholar 

  • D´emoulin, P., Mandrini, C.H., van Driel-Gesztelyi, L., L´opez Fuentes, M. and Aulanier, G.: 2002b, Solar Phys. 207, 87.

    Article  ADS  Google Scholar 

  • DeVore, C.R.: 2000, Astrophys. J. 539, 944.

    Article  ADS  Google Scholar 

  • Dryer, M., Andrews, M.D., Aurass, H., DeForest, C., Galvin, A.B., Garcia, H., Ipavich, F.M., Karlicky, M., Kiplinger, A., Klassen, A., Meisner, R., Paswaters, S.E., Smith, Z., Tappin, S.J., Thompson, B.J., Watari, S.J., Michels, D.J., Brueckner, G.E., Howard, R.A., Koomen, M.J., Lamy, P., Mann, G., Arzner, K. and Schwenn, R.: 1998, Solar Phys. 181, 159.

    Article  ADS  Google Scholar 

  • Emonet, T. and Moreno-Insertis, F.: 1998, Astrophys. J. 492, 804.

    Article  ADS  Google Scholar 

  • Finn, J.H. and Antonsen, T.M.: 1985, Comments Plasma Phys. Contr. Fusion 9, 111.

    Google Scholar 

  • Green, L.M., Harra, L.K., Matthews, S.A. and Culhane, J.L.: 2001, Solar Phys. 200, 189.

    Article  ADS  Google Scholar 

  • Green, L.M., L´opez-Fuentes, M.C., Mandrini, C.H., D´emoulin, P., van Driel-Gesztelyi, L. and Culhane, J.L.: 2002, Solar Phys. 208, 43.

    Article  ADS  Google Scholar 

  • Hale, G.E.: 1925, Pub. Astron. Soc. Pacific 37, 268.

    Article  ADS  Google Scholar 

  • Hale, G.E. and Nicholson, S.B.: 1925, Astrophys. J. 62, 270.

    Article  ADS  Google Scholar 

  • Hale, G.E., Ellerman, F., Nicholson, S.B. and Joy, A.H.: 1919, Astrophys. J. 49, 153.

    Article  ADS  Google Scholar 

  • Kusano, K., Maeshiro, T., Yokoyama, T. and Sakurai, T.: 2002, Astrophys. J. 577, 501.

    Article  ADS  Google Scholar 

  • Lepping, R.P., Burlaga, L.F. and Jones, J.A.: 1990, J. Geophys. Res. 95, 11957.

    Article  ADS  Google Scholar 

  • Lepping, R.P., Burlaga, L.F., Szabo, A., Ogilvie, K.W., Mish, W.H., Vassiliadis, D., Lazarus, A.J., Steinberg, J.T., Farrugia, C.J., Janoo, L. and Mariani, F.: 1997, J. Geophys. Res. 102, 14049.

    Article  ADS  Google Scholar 

  • Longcope, D.W. and Welsch, B.T.: 2000, Astrophys. J. 545, 1089.

    Article  ADS  Google Scholar 

  • L´opez Fuentes, M., D´emoulin, P., Mandrini, C.H. and van Driel-Gesztelyi, L.: 2000, Astrophys. J. 544, 540.

    Article  ADS  Google Scholar 

  • L´opez Fuentes, M., D´emoulin, P., Mandrini, C.H. and van Driel-Gesztelyi, L.: 2003, Astron. Astrophys. 397, 305.

    Article  ADS  Google Scholar 

  • Low, B.C.: 1996, Solar Phys. 167, 217.

    Article  ADS  Google Scholar 

  • Maia, D., Vourlidas, A., Pick, M., Howard, R., Schwenn, R. and Magalhes, A.: 1999, J. Geophys. Res. 104, 12507.

    Article  ADS  Google Scholar 

  • Mandrini, C.H., D´emoulin, P., van Driel-Gesztelyi, L., Aulanier, G., Thompson, B.J., Plunkett, S. and Kov´ari, Zs.: 2001, in: G. Mathys, S.K. Solanki and D.T. Wickramasinghe (eds.), ASP Conf. Ser.: Magnetic Fields Across the Hertzsprung-Russell Diagram (Vol. 248) p. 139.

  • Mandrini, C.H., van Driel-Gesztelyi, L., Thompson, B.J., Plunkett, S., D´emoulin, P. and Aulanier, G.: 2000, Geofis. Inter. 39,1,73.

    Google Scholar 

  • Marubashi, K.: 1997, in: N. Crooker, J.A. Joselyn and J. Feynman (eds.), Coronal Mass Ejections, Geophysical Monograph 99, American Geophysical Press, Washington DC, p. 147.

    Google Scholar 

  • Moreno-Insertis, F. and Emonet, T.: 1996, Astrophys. J. 472, L53.

    Article  ADS  Google Scholar 

  • Moon, Y.-J., Chae, J., Choe, G.S., Wang, H., Park, Y.D., Yun, H.S., Yurchyshyn, V. and Goode, P.R.: 2002, Astrophys. J. 574, 1066.

    Article  ADS  Google Scholar 

  • Nindos, A. and Zhang, H.: 2002, Astrophys. J. 573, L133.

    Article  ADS  Google Scholar 

  • Pevtsov, A.A. and Balasubramaniam, K.S.: 2003, Adv. Space Res. 32,Vol. 10, 1867.

    Article  ADS  Google Scholar 

  • Richardson, I.G.: 1997, in: N. Crooker, J.A. Joselyn and J. Feynman (eds.), Coronal Mass Ejections, Geophysical Monograph 99, American Geophysical Press, Washington DC, p. 189.

    Google Scholar 

  • Richardson, R.S.: 1941, Astrophys. J. 93, 24.

    Article  ADS  Google Scholar 

  • Rust, D.M.: 1994, Geophys. Res. Lett. 21, 241.

    Article  ADS  Google Scholar 

  • Scherrer, P.H., Bogart, R.S., Bush, R.I., Hoeksema, J.I., Kosovicher, A.G., Schov, J., Rosenberg, W., Springer, L., Tarbell, T.D., Title, A., Wolfson, C.J., Zayer, I. and MDI Engineering Team: 1995, Solar Phys. 162, 129.

    Article  ADS  Google Scholar 

  • Shimazu, H. and Marubashi, K.: 2000, J. Geophys. Res. 105, 2365.

    Article  ADS  Google Scholar 

  • Tsuneta, S., Acton, L., Bruner, M., Lemen, J., Brown, W., Caravalho, R., Catura, R., Freeland, S., Jurcevich, B. and Owens, J.: 1991, Solar Phys. 136, 37.

    Article  ADS  Google Scholar 

  • van Driel-Gesztelyi: 1998, in: C.E. Alissandrakis and B. Schmieder (eds.), ASP Conf. Ser., Second Advances in Solar Physics Euroconfences: Three-Demensional Structure of Soalr Active Regions (Vol. 155) p. 202.

  • van Driel-Gesztelyi, L., D´emoulin, P. and Mandrini, C.H.: 2003a, Adv. Space Res. 32,(Vol. 10) p. 1855.

    Article  ADS  Google Scholar 

  • van Driel-Gesztelyi, L., Mandrini, C.H., Thompson, B.J., Plunkett, S., Aulanier, G., D´emoulin, P., Schmieder, B. and DeForest, C.: 1999, in: B. Schmieder, A. Hofmann and J. Staude (eds.), ASP Conf. Ser.: Magnetic Fields and Oscillations (Vol. 184) p. 302.

  • van Driel-Gesztelyi, L., Mandrini, C.H., D´emoulin, P.: 2003b, in: J.-C. H´enoux and C. Fang (eds.), Second Franco-Chinese Meeting on Solar Physics: Understanding Active Phenomena, Progress and Perspectives,World Publishing Corporation, 37.

  • Webb, D.F., Cliver, E.W., Crooker, N.U., St. Cry, O.C. and Thompson, B.J.: 2000, J. Geophys. Res. 105, 7491.

    Article  ADS  Google Scholar 

  • Yurchyshyn, V.B., Wang, H., Goode, P.R. and Deng, Y.: 2001, Astrophys. J. 563, 381.

    Article  ADS  Google Scholar 

  • Zhao, X.P., Hoeksema, J.T. and Marubashi, K.: 2001, J. Geophys. Res. 106, 15643.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to C.H. Mandrini.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mandrini, C., Démoulin, P., Van Driel-Gesztelyi, L. et al. Magnetic Helicity Budget of Solar-Active Regions from the Photosphere to Magnetic Clouds. Astrophysics and Space Science 290, 319–344 (2004). https://doi.org/10.1023/B:ASTR.0000032533.31817.0e

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:ASTR.0000032533.31817.0e

Navigation