Skip to main content

What Have We Learned from Helioseismology, What Have We Really Learned, and What Do We Aspire to Learn?

  • Chapter
Solar Dynamics and Magnetism from the Interior to the Atmosphere
  • 735 Accesses

Abstract

Helioseismology has been widely acclaimed as having been a great success: it appears to have answered nearly all the questions that we originally asked, some with unexpectedly high precision. We have learned how the sound speed and matter density vary throughout almost all of the solar interior – something which not so very long ago was generally considered to be impossible – we have learned how the Sun rotates, and we have a beautiful picture, on a coffee cup, of the thermal stratification of a sunspot, and also an indication of the material flow around it. We have tried, with some success at times, to apply our findings to issues of broader relevance: the test of the General Theory of Relativity via planetary orbit precession (now almost forgotten because the issue has convincingly been closed, albeit no doubt temporarily) the solar neutrino problem, the manner of the transport of energy from the centre to the surface of the Sun, the mechanisms of angular-momentum redistribution, and the workings of the solar dynamo. The first two were of general interest to the broad scientific community beyond astronomy, and were, quite rightly, principally responsible for our acclaimed success; the others are still in a state of flux.

Invited Article.

Solar Dynamics and Magnetism from the Interior to the Atmosphere

Guest Editors: R. Komm, A. Kosovichev, D. Longcope, and N. Mansour

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Abraham, Z., Iben, I. Jr: 1971, More solar models and neutrino fluxes. Astrophys. J. 170, 157. doi:10.1086/151197.

    ADS  Google Scholar 

  • Allende Prieto, C., Lambert, D.L., Asplund, M.: 2001, The forbidden abundance of oxygen in the Sun. Astrophys. J. Lett. 556, L63 – L66. doi:10.1086/322874.

    ADS  Google Scholar 

  • Allende Prieto, C., Lambert, D.L., Asplund, M.: 2002, A reappraisal of the solar photospheric C/O ratio. Astrophys. J. Lett. 573, L137 – L140. doi:10.1086/342095.

    ADS  Google Scholar 

  • Amelin, Y., Krot, A.N., Hutcheon, I.D., Ulyanov, A.A.: 2002, Lead isotopic ages of chondrules and calcium-aluminium-rich inclusions. Science 297, 1678 – 1683. doi:10.1126/science.1073950.

    ADS  Google Scholar 

  • Ando, H., Osaki, Y.: 1975, Nonadiabatic nonradial oscillations – an application to the five-minute oscillation of the Sun. Publ. Astron. Soc. Japan 27, 581 – 603.

    ADS  Google Scholar 

  • Antia, H.M., Basu, S.: 2004, Temporal variations in the solar radius? In: Danesy, D. (ed.) SOHO 14 Helio- and Asteroseismology: Towards a Golden Future SP-559, ESA, Noordwijk, 301.

    Google Scholar 

  • Antia, H.M., Basu, S.: 2006, Determining solar abundances using helioseismology. Astrophys. J. 644, 1292 – 1298. doi:10.1086/503707.

    ADS  Google Scholar 

  • Antia, H.M., Basu, S.: 2011, Are recent solar heavy element abundances consistent with helioseismology? J. Phys. Conf. Ser. 271, 012034. doi:10.1088/1742-6596/271/1/012034.

    ADS  Google Scholar 

  • Antia, H.M., Chitre, S.M., Gough, D.O.: 2008, Temporal variations in the Sun’s rotational kinetic energy. Astron. Astrophys. 477, 657 – 663. doi:10.1051/0004-6361:20078209.

    ADS  MATH  Google Scholar 

  • Antia, H.M., Chitre, S.M., Gough, D.O.: 2012, On the magnetic field required for driving the observed angular-velocity variations in the solar convection zone. Mon. Not. R. Astron. Soc., in press.

    Google Scholar 

  • Asplund, M.: 2005, New light on stellar abundance analyses: Departures from LTE and homogeneity. Annu. Rev. Astron. Astrophys. 43, 481 – 530. doi:10.1146/annurev.astro.42.053102.134001.

    ADS  Google Scholar 

  • Asplund, M., Grevesse, N., Sauval, A.J.: 2005, The solar chemical composition. In: Barnes, T.G. III, Bash, F.N. (eds.) Cosmic Abundances as Records of Stellar Evolution and Nucleosynthesis CS-336, Astron. Soc. Pac., San Francisco, 25.

    Google Scholar 

  • Asplund, M., Nordlund, Å., Trampedach, R., Stein, R.F.: 2000, Line formation in solar granulation. II. The photospheric Fe abundance. Astron. Astrophys. 359, 743 – 754.

    ADS  Google Scholar 

  • Asplund, M., Grevesse, N., Sauval, A.J., Allende Prieto, C., Kiselman, D.: 2004, Line formation in solar granulation. IV. [O I], O I and OH lines and the photospheric O abundance. Astron. Astrophys. 417, 751 – 768. doi:10.1051/0004-6361:20034328.

    ADS  Google Scholar 

  • Asplund, M., Grevesse, N., Sauval, A.J., Allende Prieto, C., Kiselman, D.: 2005a, Line formation in solar granulation. IV. [O I], O I and OH lines and the photospheric O abundance. Astron. Astrophys. 435, 339 – 340. doi:10.1051/0004-6361:20034328e.

    ADS  Google Scholar 

  • Asplund, M., Grevesse, N., Sauval, A.J., Allende Prieto, C., Blomme, R.: 2005b, Line formation in solar granulation. VI. [C I], C I, CH and C2 lines and the photospheric C abundance. Astron. Astrophys. 431, 693 – 705. doi:10.1051/0004-6361:20041951.

    ADS  Google Scholar 

  • Asplund, M., Grevesse, N., Sauval, A.J., Scott, P.: 2009, The chemical composition of the Sun. Annu. Rev. Astron. Astrophys. 47, 481 – 522. doi:10.1146/annurev.astro.46.060407.145222.

    ADS  Google Scholar 

  • Bahcall, J.N.: 2001, High-energy physics: neutrinos reveal split personalities. Nature 412, 29 – 31.

    ADS  Google Scholar 

  • Bahcall, J.N., Basu, S., Pinsonneault, M.H.: 1998, How uncertain are solar neutrino predictions? Phys. Lett. B 433, 1 – 8. doi:10.1016/S0370-2693(98)00657-1.

    ADS  Google Scholar 

  • Bahcall, J.N., Pinsonneault, M.H.: 1992, Standard solar models, with and without helium diffusion, and the solar neutrino problem. Rev. Mod. Phys. 64, 885 – 926. doi:10.1103/RevModPhys.64.885.

    ADS  Google Scholar 

  • Bahcall, J.N., Pinsonneault, M.H., Basu, S.: 2001, Solar models: current epoch and time dependences, neutrinos, and helioseismological properties. Astrophys. J. 555, 990 – 1012. doi:10.1086/321493.

    ADS  Google Scholar 

  • Bahcall, J.N., Ulrich, R.K.: 1971, Solar neutrinos. III. Composition and magnetic-field effects and related inferences. Astrophys. J. 170, 593. doi:10.1086/151245.

    ADS  Google Scholar 

  • Bahcall, J.N., Ulrich, R.K.: 1988, Solar models, neutrino experiments, and helioseismology. Rev. Mod. Phys. 60, 297 – 372. doi:10.1103/RevModPhys.60.297.

    ADS  Google Scholar 

  • Bahcall, J.N., Basu, S., Pinsonneault, M.H., Serenelli, A.M.: 2005, Helioseismological implications of recent solar abundance determinations. Astrophys. J. 618, 1049 – 1056. doi:10.1086/426070.

    ADS  Google Scholar 

  • Balmforth, N.J., Gough, D.O.: 1990, Effluent stellar pulsation. Astrophys. J. 362, 256 – 266. doi:10.1086/169262.

    ADS  Google Scholar 

  • Basu, S.: 1998, Effects of errors in the solar radius on helioseismic inferences. Mon. Not. Roy. Astron. Soc. 298, 719 – 728. doi:10.1046/j.1365-8711.1998.01690.x.

    ADS  Google Scholar 

  • Basu, S., Antia, H.M.: 1995, Helium abundance in the solar envelope. Mon. Not. Roy. Astron. Soc. 276, 1402 – 1408.

    ADS  Google Scholar 

  • Basu, S., Antia, H.M.: 1997, Seismic measurement of the depth of the solar convection zone. Mon. Not. Roy. Astron. Soc. 287, 189 – 198.

    ADS  Google Scholar 

  • Basu, S., Antia, H.M.: 2003, Changes in solar dynamics from 1995 to 2002. Astrophys. J. 585, 553 – 565. doi:10.1086/346020.

    ADS  Google Scholar 

  • Basu, S., Antia, H.M.: 2004, Constraining solar abundances using helioseismology. Astrophys. J. Lett. 606, L85 – L88. doi:10.1086/421110.

    ADS  Google Scholar 

  • Basu, S., Antia, H.M.: 2008, Helioseismology and solar abundances. Phys. Rep. 457, 217 – 283. doi:10.1016/j.physrep.2007.12.002.

    ADS  Google Scholar 

  • Basu, S., Däppen, W., Nayfonov, A.: 1999, Helioseismic analysis of the hydrogen partition function in the solar interior. Astrophys. J. 518, 985 – 993. doi:10.1086/307312.

    ADS  Google Scholar 

  • Basu, S., Mandel, A.: 2004, Does solar structure vary with solar magnetic activity? Astrophys. J. Lett. 617, L155 – L158. doi:10.1086/427435.

    ADS  Google Scholar 

  • Basu, S., Christensen-Dalsgaard, J., Chaplin, W.J., Elsworth, Y., Isaak, G.R., New, R., Schou, J., Thompson, M.J., Tomczyk, S.: 1997, Solar internal sound speed as inferred from combined BiSON and LOWL oscillation frequencies. Mon. Not. Roy. Astron. Soc. 292, 243.

    ADS  Google Scholar 

  • Basu, S., Chaplin, W.J., Elsworth, Y., New, R., Serenelli, A.M., Verner, G.A.: 2007, Solar abundances and helioseismology: fine-structure spacings and separation ratios of low-degree p-modes. Astrophys. J. 655, 660 – 671. doi:10.1086/509820.

    ADS  Google Scholar 

  • Basu, S., Broomhall, A.-M., Chaplin, W.J., Elsworth, Y., Fletcher, S., New, R.: 2010, Differences between the current solar minimum and earlier minima. In: Cranmer, S.R., Hoeksema, J.T., Kohl, J.L. (eds.) SOHO-23: Understanding a Peculiar Solar Minimum CS-428, Astron. Soc. Pac., San Francisco, 37.

    Google Scholar 

  • Baturin, V.A., Däppen, W., Gough, D.O., Vorontsov, S.V.: 2000, Seismology of the solar envelope: sound-speed gradient in the convection zone and its diagnosis of the equation of state. Mon. Not. Roy. Astron. Soc. 316, 71 – 83. doi:10.1046/j.1365-8711.2000.03459.x.

    ADS  Google Scholar 

  • Bonanno, A., Schlattl, H., Paternò, L.: 2002, The age of the Sun and the relativistic corrections in the EOS. Astron. Astrophys. 390, 1115 – 1118. doi:10.1051/0004-6361:20020749.

    ADS  Google Scholar 

  • Bouvier, A., Wadhwa, M.: 2010, The age of the Solar System redefined by the oldest Pb–Pb age of a meteoritic inclusion. Nat. Geosci. 3, 637 – 641. doi:10.1038/ngeo941.

    ADS  Google Scholar 

  • Brans, C., Dicke, R.H.: 1961, Mach’s principle and a relativistic theory of gravitation. Phys. Rev. 124, 925 – 935. doi:10.1103/PhysRev.124.925.

    MathSciNet  ADS  MATH  Google Scholar 

  • Bretherton, F.P., Spiegel, A.E.: 1968, The effect of the convection zone on solar spin-down. Astrophys. J. Lett. 153, L77. doi:10.1086/180224.

    ADS  Google Scholar 

  • Brown, T.M., Christensen-Dalsgaard, J., Dziembowski, W.A., Goode, P., Gough, D.O., Morrow, C.A.: 1989, Inferring the Sun’s internal angular velocity from observed p-mode frequency splittings. Astrophys. J. 343, 526 – 546. doi:10.1086/167727.

    ADS  Google Scholar 

  • Byington, B.M., Brummell, N.H., Stone, J., Gough, D.O.: 2012, Stoked nondynamos: sustaining field in magnetically non-closed systems. Phys. Fluids. in preparation.

    Google Scholar 

  • Caffau, E., Maiorca, E., Bonifacio, P., Faraggiana, R., Steffen, M., Ludwig, H.-G., Kamp, I., Busso, M.: 2009, The solar photospheric nitrogen abundance. Analysis of atomic transitions with 3D and 1D model atmospheres. Astron. Astrophys. 498, 877 – 884. doi:10.1051/0004-6361/200810859.

    ADS  Google Scholar 

  • Caffau, E., Ludwig, H.-G., Steffen, M., Freytag, B., Bonifacio, P.: 2011, Solar chemical abundances determined with a CO5BOLD 3D model atmosphere. Solar Phys. 268, 255 – 269. doi:10.1007/s11207-010-9541-4.

    ADS  Google Scholar 

  • Chaplin, W.J., Elsworth, Y., Howe, R., Isaak, G.R., McLeod, C.P., Miller, B.A., van der Raay, H.B., Wheeler, S.J., New, R.: 1996, BiSON performance. Solar Phys. 168, 1 – 18. doi:10.1007/BF00145821.

    ADS  Google Scholar 

  • Chaplin, W.J., Christensen-Dalsgaard, J., Elsworth, Y., Howe, R., Isaak, G.R., Larsen, R.M., New, R., Schou, J., Thompson, M.J., Tomczyk, S.,: 1999, Rotation of the solar core from BiSON and LOWL frequency observations. Mon. Not. Roy. Astron. Soc. 308, 405 – 414.

    ADS  Google Scholar 

  • Chaplin, W.J., Serenelli, A.M., Basu, S., Elsworth, Y., New, R., Verner, G.A.: 2007, Solar heavy-element abundance: constraints from frequency separation ratios of low-degree p-modes. Astrophys. J. 670, 872 – 884. doi:10.1086/522578.

    ADS  Google Scholar 

  • Christensen-Dalsgaard, J.: 1992, Solar models with enhanced energy transport in the core. Astrophys. J. 385, 354 – 362. doi:10.1086/170944.

    ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Gough, D.O.: 1976, Towards a heliological inverse problem. Nature 259, 89 – 92. doi:10.1038/259089a0.

    ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Gough, D.O.: 1980, Implications of the whole-disk Doppler observations of the Sun. In: Hill, H.A., Dziembowski, W.A. (eds.) Nonradial and Nonlinear Stellar Pulsation, Lecture Notes in Phys. 125, Springer, Berlin, 184 – 190. doi:10.1007/3-540-09994-8_18.

    Google Scholar 

  • Christensen-Dalsgaard, J., Gough, D.O.: 1981, Comparison of observed solar whole-disk oscillation frequencies with the predictions of a sequence of solar models. Astron. Astrophys. 104, 173 – 176.

    ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Houdek, G.: 2010, Prospects for asteroseismology. Astrophys. Space Sci. 328, 51 – 66. doi:10.1007/s10509-009-0227-z.

    ADS  MATH  Google Scholar 

  • Christensen-Dalsgaard, J., Gough, D.O., Morgan, J.G.: 1979a, Dirty solar models. Astron. Astrophys. 73, 121 – 128.

    ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Gough, D.O., Morgan, J.G.: 1979b, Erratum: “Dirty solar models” [Astron. Astrophys. 79, 260]. Astron. Astrophys. 79, 121 – 128.

    ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Gough, D.O., Thompson, M.J.: 1989, Differential asymptotic sound-speed inversions. Mon. Not. Roy. Astron. Soc. 238, 481 – 502.

    ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Gough, D.O., Thompson, M.J.: 1991, The depth of the solar convection zone. Astrophys. J. 378, 413 – 437. doi:10.1086/170441.

    ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Proffitt, C.R., Thompson, M.J.: 1993, Effects of diffusion on solar models and their oscillation frequencies. Astrophys. J. Lett. 403, L75 – L78. doi:10.1086/186725.

    ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Duvall, T.L. Jr, Gough, D.O., Harvey, J.W., Rhodes, E.J. Jr: 1985, Speed of sound in the solar interior. Nature 315, 378 – 382. doi:10.1038/315378a0.

    ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Däppen, W., Ajukov, S.V., Anderson, E.R., Antia, H.M., Basu, S., Baturin, V.A., Berthomieu, G., Chaboyer, B., Chitre, S.M., Cox, A.N., Demarque, P., Donatowicz, J., Dziembowski, W.A., Gabriel, M., Gough, D.O., Guenther, D.B., Guzik, J.A., Harvey, J.W., Hill, F., Houdek, G., Iglesias, C.A., Kosovichev, A.G., Leibacher, J.W., Morel, P., Proffitt, C.R., Provost, J., Reiter, J., Rhodes, E.J. Jr, Rogers, F.J., Roxburgh, I.W., Thompson, M.J., Ulrich, R.K.: 1996, The current state of solar modeling. Science 272, 1286 – 1292. doi:10.1126/science.272.5266.1286.

    ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Di Mauro, M.P., Houdek, G., Pijpers, F.: 2009, On the opacity change required to compensate for the revised solar composition. Astron. Astrophys. 494, 205 – 208. doi:10.1051/0004-6361:200810170.

    ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Monteiro, M.J.P.F.G., Rempel, M., Thompson, M.J.: 2011, A more realistic representation of overshoot at the base of the solar convective envelope as seen by helioseismology. Mon. Not. Roy. Astron. Soc. 414, 1158 – 1174. doi:10.1111/j.1365-2966.2011.18460.x.

    ADS  Google Scholar 

  • Claverie, A., Isaak, G.R., McLeod, C.P., van der Raay, H.B., Roca-Cortes, T.: 1980, The latest results of the velocity spectroscopy of the Sun. In: Hill, H.A., Dziembowski, W.A. (eds.) Nonradial and Nonlinear Stellar Pulsation, Lecture Notes in Phys. 125, Springer, Berlin, 181. doi:10.1007/3-540-09994-8_17.

    Google Scholar 

  • Cox, A.N., Morgan, S.M., Rogers, F.J., Iglesias, C.A.: 1992, An opacity mechanism for the pulsations of OB stars. Astrophys. J. 393, 272 – 277. doi:10.1086/171504.

    ADS  Google Scholar 

  • Däppen, W.: 1998, Microphysics: equation of state. Space Sci. Rev. 85, 49 – 60. doi:10.1023/A:1005176317912.

    ADS  Google Scholar 

  • Däppen, W.: 2004, Equations of state for solar and stellar modeling. In: Celebonovic, V., Gough, D., Däppen, W. (eds.) Equation-of-State and Phase-Transition in Models of Ordinary Astrophysical Matter CS-731, AIP, New York, 3 – 17. doi:10.1063/1.1828391.

    Google Scholar 

  • Däppen, W.: 2007, Seismic abundance determination in the Sun and in stars. In: Stancliffe, R.J., Houdek, G., Martin, R.G., Tout, C.A. (eds.) Unsolved Problems in Stellar Physics: A Conference in Honour of Douglas Gough CS-948, AIP, New York, 179 – 190. doi:10.1063/1.2818968.

    Google Scholar 

  • Däppen, W., Gough, D.O.: 1984, On the determination of the helium abundance of the solar convection zone. In: Liège Internat. Astrophys. Coll. 25, Université de Liège, 264 – 268.

    Google Scholar 

  • Däppen, W., Gilliland, R.L., Christensen-Dalsgaard, J.: 1986, Weakly interacting massive particles, solar neutrinos, and solar oscillations. Nature 321, 229 – 231. doi:10.1038/321229a0.

    ADS  Google Scholar 

  • Däppen, W., Gough, D.O., Thompson, M.J.: 1988, Further progress on the helium abundance determination. In: Rolfe, E.J. (ed.) Seismology of the Sun and Sun-Like Stars SP-286, ESA, Noordwijk, 505 – 510.

    Google Scholar 

  • Däppen, W., Gough, D.O., Kosovichev, A.G., Thompson, M.J.: 1991, A new inversion for the hydrostatic stratification of the Sun. In: Gough, D., Toomre, J. (eds.) Challenges to Theories of the Structure of Moderate-Mass Stars, Lecture Notes in Phys. 388, Springer, Berlin, 111. doi:10.1007/3-540-54420-8_57.

    Google Scholar 

  • Deubner, F.-L.: 1975, Observations of low wavenumber nonradial eigenmodes of the Sun. Astron. Astrophys. 44, 371 – 375.

    ADS  Google Scholar 

  • Di Mauro, M.P., Christensen-Dalsgaard, J., Rabello-Soares, M.C., Basu, S.: 2002, Inferences on the solar envelope with high-degree modes. Astron. Astrophys. 384, 666 – 677. doi:10.1051/0004-6361:20020020.

    ADS  Google Scholar 

  • Dicke, R.H.: 1967, The solar spin-down problem. Astrophys. J. Lett. 149, L121. doi:10.1086/180072.

    ADS  Google Scholar 

  • Dicke, R.H.: 1970, The solar oblateness and the gravitational quadrupole moment. Astrophys. J. 159, 1. doi:10.1086/150286.

    ADS  Google Scholar 

  • Dicke, R.H., Goldenberg, H.M.: 1967, Solar oblateness and general relativity. Phys. Rev. Lett. 18, 313 – 316. doi:10.1103/PhysRevLett.18.313.

    ADS  Google Scholar 

  • Dicke, R.H., Goldenberg, H.M.: 1974, The oblateness of the Sun. Astrophys. J. Suppl. Ser. 27, 131. doi:10.1086/190292.

    ADS  Google Scholar 

  • Doğan, G., Bonanno, A., Christensen-Dalsgaard, J.: 2010, Near-surface effects and solar-age determination. arXiv:1004.2215.

  • Drake, J.J., Testa, P.: 2005, The ‘solar model problem’ solved by the abundance of neon in nearby stars. Nature 436, 525 – 528. doi:10.1038/nature03803.

    ADS  Google Scholar 

  • Duvall, T.L. Jr., Harvey, J.W.: 1983, Observations of solar oscillations of low and intermediate degree. Nature 302, 24 – 27. doi:10.1038/302024a0.

    ADS  Google Scholar 

  • Duvall, T.L. Jr., Dziembowski, W.A., Goode, P.R., Gough, D.O., Harvey, J.W., Leibacher, J.W.: 1984, Internal rotation of the Sun. Nature 310, 22 – 25. doi:10.1038/310022a0.

    ADS  Google Scholar 

  • Dziembowski, W.A., Goode, P.R.: 2004, Helioseismic probing of solar variability: the formalism and simple assessments. Astrophys. J. 600, 464 – 479. doi:10.1086/379708.

    ADS  Google Scholar 

  • Dziembowski, W.A., Goode, P.R.: 2005, Sources of oscillation frequency increase with rising solar activity. Astrophys. J. 625, 548 – 555. doi:10.1086/429712.

    ADS  Google Scholar 

  • Dziembowski, W.A., Moskalik, P., Pamyatnykh, A.A.: 1993, The opacity mechanism in b-type stars – part two – excitation of high-order G-modes in main sequence stars. Mon. Not. Roy. Astron. Soc. 265, 588.

    ADS  Google Scholar 

  • Dziembowski, W.A., Moskalik, P., Pamyatnykh, A.A.: 1994, G-mode instability in the main sequence B-type stars. In: Balona, L.A., Henrichs, H.F., Le Contel, J.M. (eds.) Pulsation; Rotation; and Mass Loss in Early-Type Stars, IAU Symp. 162, Kluwer, Dordrecht, 69.

    Google Scholar 

  • Dziembowski, W.A., Pamyatnykh, A.A.: 1993, The opacity mechanism in B-type stars. I – Unstable modes in Beta Cephei star models. Mon. Not. Roy. Astron. Soc. 262, 204 – 212.

    ADS  Google Scholar 

  • Dziembowski, W.A., Pamyatnykh, A.A., Sienkiewicz, R.: 1990, Solar model from helioseismology and the neutrino flux problem. Mon. Not. Roy. Astron. Soc. 244, 542 – 550.

    ADS  Google Scholar 

  • Dziembowski, W.A., Fiorentini, G., Ricci, B., Sienkiewicz, R.: 1999, Helioseismology and the solar age. Astron. Astrophys. 343, 990 – 996.

    ADS  Google Scholar 

  • Elliott, J.R.: 1995, Opacity determination in the solar radiative interior. Mon. Not. Roy. Astron. Soc. 277, 1567.

    ADS  Google Scholar 

  • Elliott, J.R., Gough, D.O., Sekii, T.: 1998, Helioseismic determination of the solar tachocline thickness. In: Korzennik, S. (ed.) Structure and Dynamics of the Interior of the Sun and Sun-like Stars SP-418, ESA, Noordwijk, 763.

    Google Scholar 

  • Elsworth, Y., Howe, R., Isaak, G.R., McLeod, C.P., Miller, B.A., New, R., Wheeler, S.J., Gough, D.O.: 1995, Slow rotation of the Sun’s interior. Nature 376, 669 – 672.

    ADS  Google Scholar 

  • Emilio, M., Bush, R.I., Kuhn, J., Scherrer, P.: 2007, A changing solar shape. Astrophys. J. Lett. 660, L161 – L163. doi:10.1086/518212.

    ADS  Google Scholar 

  • Faulkner, J., Gough, D.O., Vahia, M.N.: 1986, Weakly interacting massive particles and solar oscillations. Nature 321, 226 – 229. doi:10.1038/321226a0.

    ADS  Google Scholar 

  • Fivian, M.D., Hudson, H.S., Lin, R.P., Zahid, H.J.: 2008, A large excess in apparent solar oblateness due to surface magnetism. Science 322, 560 – 562. doi:10.1126/science.1160863.

    ADS  Google Scholar 

  • Fossat, E., Grec, G., Pomerantz, M.: 1981, Solar pulsations observed from the geographic South Pole – Initial results. Solar Phys. 74, 59 – 63. doi:10.1007/BF00151274.

    ADS  Google Scholar 

  • Foukal, P., Fröhlich, C., Spruit, H., Wigley, T.M.L.: 2006, Variations in solar luminosity and their effect on the Earth’s climate. Nature 443, 161 – 166. doi:10.1038/nature05072.

    ADS  Google Scholar 

  • Fröhlich, C.: 2011, Total solar irradiance: what have we learned from the last three cycles and the recent minimum? Space Sci. Rev. doi:10.1007/s11214-011-9780-1.

    Google Scholar 

  • Gilliland, R.L., Faulkner, J., Press, W.H., Spergel, D.N.: 1986, Solar models with energy transport by weakly interacting particles. Astrophys. J. 306, 703 – 709. doi:10.1086/164380.

    ADS  Google Scholar 

  • Gizon, L., Schunker, H., Baldner, C.S., Basu, S., Birch, A.C., Bogart, R.S., Braun, D.C., Cameron, R., Duvall, T.L., Hanasoge, S.M., Jackiewicz, J., Roth, M., Stahn, T., Thompson, M.J., Zharkov, S.: 2009, Helioseismology of sunspots: a case study of NOAA region 9787. Space Sci. Rev. 144, 249 – 273. doi:10.1007/s11214-008-9466-5.

    ADS  Google Scholar 

  • Goode, P.R., Didkovsky, L.V., Libbrecht, K.G., Woodard, M.F.: 2002, Evolution of the Sun’s near-surface asphericities over the activity cycle. Adv. Space Res. 29, 1889 – 1898. doi:10.1016/S0273-1177(02)00240-5.

    ADS  Google Scholar 

  • Gough, D., Hindman, B.W.: 2010, Helioseismic detection of deep meridional flow. Astrophys. J. 714, 960 – 970. doi:10.1088/0004-637X/714/1/960.

    ADS  Google Scholar 

  • Gough, D.O.: 1977, Random remarks on solar hydrodynamics. In: Bonnet, R.M., Delache, P. (eds.) The Energy Balance and Hydrodynamics of the Solar Chromosphere and Corona, IAU Colloq. 36, G. de Bussac, Clermont-Ferrand, 3 – 36.

    Google Scholar 

  • Gough, D.O.: 1978, The relevance of solar oscillations to theories of the rotation of the Sun. In: Belvedere, G., Paternò, L. (eds.) Proc. EPS Workshop on Solar Rotation, Catania Univ., 87 – 103.

    Google Scholar 

  • Gough, D.O.: 1981, A new measure of the solar rotation. Mon. Not. Roy. Astron. Soc. 196, 731 – 745.

    ADS  Google Scholar 

  • Gough, D.O.: 1982a, A review of the theory of solar oscillations and its implications concerning the internal structure of the Sun. In: Cox, J.P., Hansen, C.J. (eds.) Pulsations in Classical and Cataclysmic Variable Stars, JILA, Boulder, 117.

    Google Scholar 

  • Gough, D.O.: 1982b, Inferences from solar oscillations. Ir. Astron. J. 15, 118 – 119.

    Google Scholar 

  • Gough, D.O.: 1983a, Our first inferences from helioseismology. Phys. Bull. 34, 502 – 507.

    ADS  Google Scholar 

  • Gough, D.O.: 1983b, Solar structure: a bridge in a gap in solar oscillations. Nature 302, 18. doi:10.1038/302018a0.

    ADS  Google Scholar 

  • Gough, D.O.: 1983c, The protosolar helium abundance. In: Shaver, P.A., Kunth, D., Kjar, K. (eds.) Workshop on the Primordial Helium (A83-50030 24-90), ESO, Garching, 117 – 136.

    Google Scholar 

  • Gough, D.O.: 1984a, Helioseismology. Observatory 104, 118 – 119.

    Google Scholar 

  • Gough, D.O.: 1984b, Towards a solar model. Mem. Soc. Astron. Ital. 55, 13.

    ADS  Google Scholar 

  • Gough, D.O.: 1986, EBK quantization of stellar waves. In: Osaki, Y. (ed.) Hydrodynamic and Magnetodynamic Problems in the Sun and Stars, Univ. Tokyo, 117 – 143.

    Google Scholar 

  • Gough, D.O.: 1990, The internal structure of late-type main-sequence stars. In: Gustafsson, B., Nissen, P.E. (eds.) Astrophysics: Recent Progress and Future Possibilities (A91-15054 03-90), Kongelige Danske Videnskabernes Selskab, Copenhagen, 13 – 50.

    Google Scholar 

  • Gough, D.O.: 1995, Prospects for asteroseismic inference. In: Ulrich, R.K., Rhodes, E.J. Jr., Däppen, W. (eds.) GONG 1994: Helio- and Astro-Seismology from the Earth and Space CS-76, Astron. Soc. Pac., San Francisco, 551.

    Google Scholar 

  • Gough, D.O.: 2004, The power of helioseismology to address issues of fundamental physics. In: Celebonović, V., Gough, D., Däppen, W. (eds.) Equation-of-State and Phase-Transition in Models of Ordinary Astrophysical Matter CS-731, AIP, New York, 119 – 138. doi:10.1063/1.1828398.

    Google Scholar 

  • Gough, D.O.: 2006, Helioseismological determination of the state of the solar interior. In: Lacoste, H., Ouwehand, L. (eds.) SOHO-17: 10 Years of SOHO and Beyond SP-617, ESA, Noordwijk, 1 – 17.

    Google Scholar 

  • Gough, D.O.: 2012a, Heliophysics gleaned from seismology. In: Shibahashi, H., Takata, M. (eds.) Progress in Solar/Stellar Physics with Helio- and Asteroseismology; Proc. 65th Fujihara Seminar, Astron. Soc. Pac., San Francisco, in press.

    Google Scholar 

  • Gough, D.O.: 2012b, Pattern formation in rapidly oscillating peculiar A stars. Geophys. Astrophys. Fluid Dyn. 106, 429 – 449.

    ADS  Google Scholar 

  • Gough, D.O.: 2012c, How oblate is the Sun? Science. in press

    Google Scholar 

  • Gough, D.O., Kosovichev, A.G.: 1988, An attempt to understand the Stanford p-mode data. In: Rolfe, E.J. (ed.) Seismology of the Sun and Sun-Like Stars SP-286, ESA, Noordwijk, 195 – 201.

    Google Scholar 

  • Gough, D.O., Kosovichev, A.G.: 1990, Using helioseismic data to probe the hydrogen abundance in the solar core. In: Berthomieu, G., Cribier, M. (eds.) Inside the Sun, IAU Colloq. 121, Kluwer, Dordrecht, 327. Astrophys. Space Sci. Lib. 159.

    Google Scholar 

  • Gough, D.O., McIntyre, M.E.: 1998, Inevitability of a magnetic field in the Sun’s radiative interior. Nature 394, 755 – 757. doi:10.1038/29472.

    ADS  Google Scholar 

  • Gough, D.O., Scherrer, P.H.: 2002, The solar interior. In: Bleeker, J.A., Geiss, J., Huber, M.C.E. (eds.) The Century of Space Science I. Kluwer, Dordrecht, 1035.

    Google Scholar 

  • Gough, D.O., Sekii, T., Stark, P.B.: 1996, Inferring spatial variation of solar properties from helioseismic data. Astrophys. J. 459, 779. doi:10.1086/176942.

    ADS  Google Scholar 

  • Gough, D.O., Kosovichev, A.G., Toomre, J., Anderson, E., Antia, H.M., Basu, S., Chaboyer, B., Chitre, S.M., Christensen-Dalsgaard, J., Dziembowski, W.A., Eff-Darwich, A., Elliott, J.R., Giles, P.M., Goode, P.R., Guzik, J.A., Harvey, J.W., Hill, F., Leibacher, J.W., Monteiro, M.J.P.F.G., Richard, O., Sekii, T., Shibahashi, H., Takata, M., Thompson, M.J., Vauclair, S., Vorontsov, S.V.: 1996, The seismic structure of the Sun. Science 272, 1296 – 1300. doi:10.1126/science.272.5266.1296.

    ADS  Google Scholar 

  • Grec, G., Fossat, E., Pomerantz, M.: 1980, Solar oscillations – Full disk observations from the geographic South Pole. Nature 288, 541 – 544. doi:10.1038/288541a0.

    ADS  Google Scholar 

  • Grevesse, N., Noels, A.: 1993, Cosmic abundances of the elements. In: Prantzos, N., Vangioni-Flam, E., Casse, M. (eds.) Origin and Evolution of the Elements, Cambridge Univ. Press, Cambridge, 15 – 25.

    Google Scholar 

  • Grevesse, N., Sauval, A.J.: 1998, Standard solar composition. Space Sci. Rev. 85, 161 – 174. doi:10.1023/A:1005161325181.

    ADS  Google Scholar 

  • Grevesse, N., Asplund, M., Sauval, A.J., Scott, P.: 2011, The new solar composition and the solar metallicity. In: Miralles, M.P., Sánchez Almeida, J. (eds.) The Sun, the Solar Wind, and the Heliosphere, Springer, Berlin, 51.

    Google Scholar 

  • Guzik, J.A., Watson, L.S., Cox, A.N.: 2005, Can enhanced diffusion improve helioseismic agreement for solar models with revised abundances? Astrophys. J. 627, 1049 – 1056. doi:10.1086/430438.

    ADS  Google Scholar 

  • Guzik, J.A., Watson, L.S., Cox, A.N.: 2006, Implications of revised solar abundances for helioseismology Mem. Soc. Astron. Ital. 77, 389.

    ADS  Google Scholar 

  • Hampel, W., Heusser, G., Kiko, J., Kirsten, T., Laubenstein, M., Pernicka, E., Rau, W., Rönn, U., Schlosser, C., Wojcik, M., Zakharov, Y., v. Ammon, R., Ebert, K.H., Fritsch, T., Heidt, D., Henrich, E., Stieglitz, L., Weirich, F., Balata, M., Sann, M., Hartmann, F.X., Bellotti, E., Cattadori, C., Cremonesi, O., Ferrari, N., Fiorini, E., Zanotti, L., Altmann, M., v. Feilitzsch, F., Mößbauer, R., Berthomieu, G., Schatzman, E., Carmi, I., Dostrovsky, I., Bacci, C., Belli, P., Bernabei, R., D’Angelo, S., Paoluzi, L., Bevilacqua, A., Cribier, M., Gosset, L., Rich, J., Spiro, M., Tao, C., Vignaud, D., Boger, J., Hahn, R.L., Rowley, J.K., Stoenner, R.W., Weneser, J.: 1996, GALLEX solar neutrino observations: Results for GALLEX III. Phys. Lett. B 388, 384 – 396. doi:10.1016/S0370-2693(96)01121-5.

    ADS  Google Scholar 

  • Hindman, B.W., Haber, D.A., Toomre, J.: 2009, Subsurface circulations within active regions. Astrophys. J. 698, 1749 – 1760. doi:10.1088/0004-637X/698/2/1749.

    ADS  Google Scholar 

  • Houdek, G., Gough, D.O.: 2007, An asteroseismic signature of helium ionisation. Mon. Not. Roy. Astron. Soc. 375, 861 – 880. doi:10.1111/j.1365-2966.2006.11325.x.

    ADS  Google Scholar 

  • Houdek, G., Gough, D.O.: 2011, On the seismic age and heavy-element abundance of the Sun. Mon. Not. Roy. Astron. Soc. 418, 1217 – 1230. doi:10.1111/j.1365-2966.2011.19572.x.

    ADS  Google Scholar 

  • Howard, L.N., Moore, D.W., Spiegel, E.A.: 1967, Nature 214, 1297.

    ADS  Google Scholar 

  • Howe, R., Thompson, M.J.: 1996, On the use of the error correlation function in helioseismic inversions. Mon. Not. Roy. Astron. Soc. 281, 1385.

    ADS  Google Scholar 

  • Howe, R., Komm, R., Hill, F., Ulrich, R., Haber, D.A., Hindman, B.W., Schou, J., Thompson, M.J.: 2006a, Large-scale zonal flows near the solar surface. Solar Phys. 235, 1 – 15. doi:10.1007/s11207-006-0117-2.

    ADS  Google Scholar 

  • Howe, R., Rempel, M., Christensen-Dalsgaard, J., Hill, F., Komm, R., Larsen, R.M., Schou, J., Thompson, M.J.: 2006b, Solar convection zone dynamics: how sensitive are inversions to subtle dynamo features? Astrophys. J. 649, 1155 – 1168. doi:10.1086/506931.

    ADS  Google Scholar 

  • Iglesias, C.A., Rogers, F.J.: 1991, Opacities for the solar radiative interior. Astrophys. J. 371, 408 – 417. doi:10.1086/169902.

    ADS  Google Scholar 

  • Iglesias, C.A., Rogers, F.J.: 1996, Updated opal opacities. Astrophys. J. 464, 943. doi:10.1086/177381.

    ADS  Google Scholar 

  • Iglesias, C.A., Rogers, F.J., Wilson, B.G.: 1990, Opacities for classical Cepheid models. Astrophys. J. 360, 221 – 226. doi:10.1086/169110.

    ADS  Google Scholar 

  • Ilonidis, S., Zhao, J., Kosovichev, A.: 2011, Detection of emerging sunspot regions in the solar interior. Science 333, 993. doi:10.1126/science.1206253.

    ADS  Google Scholar 

  • Jacobsen, B., Yin, Q.-Z., Moynier, F., Amelin, Y., Krot, A.N., Nagashima, K., Hutcheon, I.D., Palme, H.: 2008, 26Al 26Mg and 207Pb 206Pb systematics of Allende CAIs: canonical solar initial 26Al/27Al ratio reinstated. Earth Planet. Sci. Lett. 272, 353 – 364. doi:10.1016/j.epsl.2008.05.003.

    ADS  Google Scholar 

  • Jacobsen, B., Yin, Q.-Z., Moynier, F., Amelin, Y., Krot, A.N., Nagashima, K., Hutcheon, I.D., Palme, H.: 2009, Erratum to “26Al 26Mg and 207Pb 206Pb systematics of Allende CAIs: Canonical solar initial 26Al/27Al ratio reinstated” [Earth Planet Sci. Lett. 272 (2008) 353 – 364]. Earth Planet. Sci. Lett. 277, 549. doi:10.1016/j.epsl.2008.12.001.

    ADS  Google Scholar 

  • Kiriakidis, M., El Eid, M.F., Glatzel, W.: 1992, Heavy element opacities and the pulsations of Beta Cepheid stars. Mon. Not. Roy. Astron. Soc. 255, 1P – 5P.

    ADS  Google Scholar 

  • Kitiashvili, I.N., Kosovichev, A.G., Wray, A.A., Mansour, N.N.: 2009, Traveling waves of magnetoconvection and the origin of the Evershed effect in sunspots. Astrophys. J. Lett. 700, L178 – L181. doi:10.1088/0004-637X/700/2/L178.

    ADS  Google Scholar 

  • Kitiashvili, I.N., Bellot Rubio, L.R., Kosovichev, A.G., Mansour, N.N., Sainz Dalda, A., Wray, A.A.: 2010, Explanation of the sea-serpent magnetic structure of sunspot penumbrae. Astrophys. J. Lett. 716, L181 – L184. doi:10.1088/2041-8205/716/2/L181.

    ADS  Google Scholar 

  • Komm, R., Howe, R., Hill, F.: 2006, Helioseismic sensing of the solar cycle. Adv. Space Res. 38, 845 – 855. doi:10.1016/j.asr.2005.07.034.

    ADS  Google Scholar 

  • Kopp, G., Lean, J.L.: 2011, A new, lower value of total solar irradiance: evidence and climate significance. Geophys. Res. Lett. 38, 1706. doi:10.1029/2010GL045777.

    ADS  Google Scholar 

  • Korzennik, S.G., Ulrich, R.K.: 1989, Seismic analysis of the solar interior. I – Can opacity changes improve the theoretical frequencies? Astrophys. J. 339, 1144 – 1155. doi:10.1086/167369.

    ADS  Google Scholar 

  • Kosovichev, A.G.: 2009, Photospheric and subphotospheric dynamics of emerging magnetic flux. Space Sci. Rev. 144, 175 – 195. doi:10.1007/s11214-009-9487-8.

    ADS  Google Scholar 

  • Kosovichev, A.G., Duvall, T.L. Jr: 2011, Investigation of a sunspot complex by helioseismology. In: Choudhary, D.P., Strassmeier, K.G. (eds.) The Physics of Sun and Star Spots, IAU Symp. 273, Cambridge Univ. Press, Cambridge, 320 – 324. doi:10.1017/S1743921311015456.

    Google Scholar 

  • Kosovichev, A.G., Christensen-Dalsgaard, J., Däppen, W., Dziembowski, W.A., Gough, D.O., Thompson, M.J.: 1992, Sources of uncertainty in direct seismological measurements of the solar helium abundance. Mon. Not. Roy. Astron. Soc. 259, 536 – 558.

    ADS  Google Scholar 

  • Kuhn, J.R., Bush, R., Emilio, M., Scholl, I.F.: 2012, The precise solar shape and its variability. Science. doi:10.1126/science.1223231.

    Google Scholar 

  • Lefebvre, S., Kosovichev, A.G.: 2005, Changes in the subsurface stratification of the Sun with the 11-year activity cycle. Astrophys. J. Lett. 633, L149 – L152. doi:10.1086/498305.

    ADS  Google Scholar 

  • Lefebvre, S., Kosovichev, A.G., Rozelot, J.P.: 2007, Helioseismic test of nonhomologous solar radius changes with the 11 year activity cycle. Astrophys. J. Lett. 658, L135 – L138. doi:10.1086/515394.

    ADS  Google Scholar 

  • Lodders, K., Palme, H., Gail, H.-P.: 2009, Abundances of the elements in the solar system. In: Trümper, J.E. (ed.) Landolt-Börnstein – Group VI Astron. Astrophys. Numerical Data and Functional Relationships in Science and Technology Volume, Springer, Berlin, 44. doi:10.1007/978-3-540-88055-4_34.

    Google Scholar 

  • Lopes, I.P., Gough, D.O.: 2001, Seismology of stellar envelopes: probing the outer layers of a star through the scattering of acoustic waves. Mon. Not. Roy. Astron. Soc. 322, 473 – 485. doi:10.1046/j.1365-8711.2001.03940.x.

    ADS  Google Scholar 

  • Moskalik, P., Buchler, J.R., Marom, A.: 1992, Toward a resolution of the bump and beat Cepheid mass discrepancies. Astrophys. J. 385, 685 – 693. doi:10.1086/170975.

    ADS  Google Scholar 

  • Moskalik, P., Dziembowski, W.A.: 1992, New opacities and the origin of the Beta Cephei pulsation. Astron. Astrophys. 256, L5 – L8.

    ADS  Google Scholar 

  • Mussack, K., Däppen, W.: 2010, Dynamic screening in solar and stellar nuclear reactions. Astrophys. Space Sci. 328, 153 – 156. doi:10.1007/s10509-009-0245-x.

    ADS  Google Scholar 

  • Mussack, K., Däppen, W.: 2011, Dynamic screening correction for solar p–p reaction rates. Astrophys. J. 729, 96. doi:10.1088/0004-637X/729/2/96.

    ADS  Google Scholar 

  • Mussack, K., Gough, D.O.: 2009, Measuring solar abundances with seismology. In: Dikpati, M., Arentoft, T., González Hernández, I., Lindsey, C., Hill, F. (eds.) Solar-Stellar Dynamos as Revealed by Helio- and Asteroseismology: GONG 2008/SOHO 21 CS-416, Astron. Soc. Pac., San Francisco, 203.

    Google Scholar 

  • Pijpers, F.P.: 1998, Helioseismic determination of the solar gravitational quadrupole moment. Mon. Not. Roy. Astron. Soc. 297, L76 – L80. doi:10.1046/j.1365-8711.1998.01801.x.

    ADS  Google Scholar 

  • Ramsey, A.S.: 1937, Dynamics Part II, Cambridge Univ. Press, Cambridge.

    Google Scholar 

  • Richard, O., Dziembowski, W.A., Sienkiewicz, R., Goode, P.R.: 1998, Precise determination of the solar helium abundance by helioseismology. In: Korzennik, S. (ed.) Structure and Dynamics of the Interior of the Sun and Sun-Like Stars SP-418, ESA, Noordwijk, 517.

    Google Scholar 

  • Rogers, F.J., Nayfonov, A.: 2002, Updated and expanded OPAL equation-of-state tables: implications for helioseismology. Astrophys. J. 576, 1064 – 1074. doi:10.1086/341894.

    ADS  Google Scholar 

  • Saio, H.: 1992, Opacity in the solar radiative interior inferred from 5-min oscillations. Mon. Not. Roy. Astron. Soc. 258, 491 – 496.

    ADS  Google Scholar 

  • Salpeter, E.E.: 1954, Electron screening and thermonuclear reactions. Aust. J. Phys. 7, 373.

    ADS  MATH  Google Scholar 

  • Schou, J., Woodard, M.F., Birch, A.C.: 2009, Large-scale flows from eigenfunction fitting. Bull. Am. Astron. Soc. 40, 07.05.

    Google Scholar 

  • Schou, J., Antia, H.M., Basu, S., Bogart, R.S., Bush, R.I., Chitre, S.M., Christensen-Dalsgaard, J., di Mauro, M.P., Dziembowski, W.A., Eff-Darwich, A., Gough, D.O., Haber, D.A., Hoeksema, J.T., Howe, R., Korzennik, S.G., Kosovichev, A.G., Larsen, R.M., Pijpers, F.P., Scherrer, P.H., Sekii, T., Tarbell, T.D., Title, A.M., Thompson, M.J., Toomre, J.: 1998, Helioseismic studies of differential rotation in the solar envelope by the solar oscillations investigation using the Michelson Doppler Imager. Astrophys. J. 505, 390 – 417. doi:10.1086/306146.

    ADS  Google Scholar 

  • Simon, N.R.: 1982, A plea for reexamining heavy element opacities in stars. Astrophys. J. Lett. 260, L87 – L90. doi:10.1086/183876.

    ADS  Google Scholar 

  • Spergel, D.N., Press, W.H.: 1985, Effect of hypothetical, weakly interacting, massive particles on energy transport in the solar interior. Astrophys. J. 294, 663 – 673. doi:10.1086/163336.

    ADS  Google Scholar 

  • Spiegel, E.A., Zahn, J.-P.: 1992, The solar tachocline. Astron. Astrophys. 265, 106 – 114.

    ADS  Google Scholar 

  • Steigman, G.: 2007, Primordial nucleosynthesis in the precision cosmology era. Annu. Rev. Nucl. Part. Sci. 57, 463 – 491. doi:10.1146/annurev.nucl.56.080805.140437.

    ADS  Google Scholar 

  • Stein, R.F., Nordlund, A.: 1998, Simulations of solar granulation. I. General properties. Astrophys. J. 499, 914. doi:10.1086/305678.

    ADS  Google Scholar 

  • Takata, M., Gough, D.O.: 2001, The influence of uncertainties in the Sun’s radius on inversions for the solar structure. In: Wilson, A., Pallé, P.L. (eds.) SOHO 10/GONG 2000 Workshop: Helio- and Asteroseismology at the Dawn of the Millennium SP-464, ESA, Noordwijk, 543 – 546.

    Google Scholar 

  • Takata, M., Gough, D.O.: 2003, The seismic radius of the Sun, and structure inversions. In: Sawaya-Lacoste, H. (ed.) GONG+ 2002. Local and Global Helioseismology: The Present and Future SP-517, ESA, Noordwijk, 397 – 400.

    Google Scholar 

  • Tassoul, M.: 1980, Asymptotic approximations for stellar nonradial pulsations. Astrophys. J. Suppl. Ser. 43, 469 – 490. doi:10.1086/190678.

    ADS  Google Scholar 

  • Taylor, S.F., Varsik, J.R., Woodard, M.F., Libbrecht, K.G.: 1998, Spatial dependence of solar-cycle changes in the Sun’s luminosity. Solar Phys. 178, 1 – 12.

    ADS  Google Scholar 

  • Tomczyk, S., Schou, J., Thompson, M.J.: 1995, Measurement of the rotation rate in the deep solar interior. Astrophys. J. Lett. 448, L57. doi:10.1086/309598.

    ADS  Google Scholar 

  • Tomczyk, S., Streander, K., Card, G., Elmore, D., Hull, H., Cacciani, A.: 1995, An instrument to observe low-degree solar oscillations. Solar Phys. 159, 1 – 21. doi:10.1007/BF00733027.

    ADS  Google Scholar 

  • Tripathy, S.C., Christensen-Dalsgaard, J.: 1998, Opacity effects on the solar interior. I. Solar structure. Astron. Astrophys. 337, 579 – 590.

    ADS  Google Scholar 

  • Tripathy, S.C., Basu, S., Christensen-Dalsgaard, J.: 1998, Helioseismic determination of opacity corrections. In: Provost, J., Schmider, F.-X. (eds.) Sounding Solar and Stellar Interiors, IAU Symp. 181, Poster volume, Université de Nice, Côte d’Azur, 129 – 130.

    Google Scholar 

  • Turck-Chièze, S., Däppen, W., Fossat, E., Provost, J., Schatzman, E., Vignaud, D.: 1993, The solar interior. Phys. Rep. 230, 57 – 235. doi:10.1016/0370-1573(93)90020-E.

    ADS  Google Scholar 

  • Ulrich, R.K., Rhodes, E.J. Jr.: 1977, The sensitivity of nonradial P mode eigenfrequencies to solar envelope structure. Astrophys. J. 218, 521 – 529. doi:10.1086/155705.

    ADS  Google Scholar 

  • Vandakurov, Y.V.: 1967, The frequency distribution of stellar oscillations Astron. Ž. 44, 786.

    ADS  Google Scholar 

  • Verner, G.A., Chaplin, W.J., Elsworth, Y.: 2006, BiSON data show change in solar structure with magnetic activity. Astrophys. J. Lett. 640, L95 – L98. doi:10.1086/503101.

    ADS  Google Scholar 

  • Vorontsov, S.V., Baturin, V.A., Pamyatnykh, A.A.: 1992, Seismology of the solar envelope – towards the calibration of the equation of state. Mon. Not. Roy. Astron. Soc. 257, 32 – 46.

    ADS  Google Scholar 

  • Vorontsov, S.V., Christensen-Dalsgaard, J., Schou, J., Strakhov, V.N., Thompson, M.J.: 2002, Helioseismic measurement of solar torsional oscillations. Science 296, 101 – 103. doi:10.1126/science.1069190.

    ADS  Google Scholar 

  • Weiss, N.O., Thomas, J.H., Brummell, N.H., Tobias, S.M.: 2004, The origin of penumbral structure in sunspots: downward pumping of magnetic flux. Astrophys. J. 600, 1073 – 1090. doi:10.1086/380091.

    ADS  Google Scholar 

  • Willson, R.C., Hudson, H.S.: 1988, Solar luminosity variations in solar cycle 21. Nature 332, 810 – 812. doi:10.1038/332810a0.

    ADS  Google Scholar 

  • Zhao, J., Kosovichev, A.G.: 2003, Helioseismic observation of the structure and dynamics of a rotating sunspot beneath the solar surface. Astrophys. J. 591, 446 – 453. doi:10.1086/375343.

    ADS  Google Scholar 

  • Zhao, J., Kosovichev, A.G., Duvall, T.L. Jr.: 2001, Investigation of mass flows beneath a sunspot by time-distance helioseismology. Astrophys. J. 557, 384 – 388. doi:10.1086/321491.

    ADS  Google Scholar 

  • Zhao, J., Kosovichev, A.G., Sekii, T.: 2010, High-resolution helioseismic imaging of subsurface structures and flows of a solar active region observed by Hinode. Astrophys. J. 708, 304 – 313. doi:10.1088/0004-637X/708/1/304.

    ADS  Google Scholar 

  • Zhao, J., Couvidat, S., Bogart, R.S., Parchevsky, K.V., Birch, A.C., Duvall, T.L., Beck, J.G., Kosovichev, A.G., Scherrer, P.H.: 2011, Time-distance helioseismology data-analysis pipeline for Helioseismic and Magnetic Imager onboard Solar Dynamics Observatory (SDO/HMI) and its initial results. Solar Phys. 275, 375 – 390. doi:10.1007/s11207-011-9757-y.

    ADS  Google Scholar 

  • Zweibel, E.G., Gough, D.O.: 1995, Is there a seismic signature of the Sun’s magnetic field? In: Hoeksema, J.T., Domingo, V., Fleck, B., Battrick, B. (eds.) Helioseismology SP-376, ESA, Noordwijk, 73.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Douglas Gough .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Gough, D. (2012). What Have We Learned from Helioseismology, What Have We Really Learned, and What Do We Aspire to Learn?. In: Mansour, N.N., Kosovichev, A.G., Komm, R., Longcope, D. (eds) Solar Dynamics and Magnetism from the Interior to the Atmosphere. Springer, New York, NY. https://doi.org/10.1007/978-1-4899-8005-2_2

Download citation

Publish with us

Policies and ethics