Abstract
Helioseismology has advanced considerably our knowledge of the interior of the Sun over the past three decades. Our understanding of the Sun’s internal structure, its dynamics, rotation, convection and magnetism, have all been advanced. Yet there are challenges, areas where the results from helioseismology are tantalizing but inconclusive, and aspects where the interpretation of the data has still to be put on a firm footing. In this paper we shall focus on a number of those challenges and give our assessment of where progress needs to be made in the next decade.
References
H.M. Antia, S. Basu, Determining solar abundances using helioseismology. Astrophys. J. 644, 1292–1298 (2006). doi:10.1086/503707
T. Appourchaux, K. Belkacem, A.-M. Broomhall, W.J. Chaplin, D.O. Gough, G. Houdek, J. Provost, F. Baudin, P. Boumier, Y. Elsworth, R.A. García, B.N. Andersen, W. Finsterle, C. Fröhlich, A. Gabriel, G. Grec, A. Jiménez, A. Kosovichev, T. Sekii, T. Toutain, S. Turck-Chièze, The quest for the solar G modes. Astron. Astrophys. Rev. 18, 197–277 (2010). doi:10.1007/s00159-009-0027-z
M. Asplund, N. Grevesse, A.J. Sauval, The solar chemical composition, in Cosmic Abundances as Records of Stellar Evolution and Nucleosynthesis, ed. by T.G. Barnes III, F.N. Bash. Astronomical Society of the Pacific Conference Series, vol. 336 (2005), p. 25
M. Asplund, N. Grevesse, A.J. Sauval, C. Allende Prieto, D. Kiselman, Line formation in solar granulation. IV. [O I], O I and OH lines and the photospheric O abundance. Astron. Astrophys. 417, 751–768 (2004). doi:10.1051/0004-6361:20034328
M. Asplund, N. Grevesse, A.J. Sauval, P. Scott, The chemical composition of the Sun. Annu. Rev. Astron. Astrophys. 47, 481–522 (2009). doi:10.1146/annurev.astro.46.060407.145222
J.N. Bahcall, S. Basu, A.M. Serenelli, What is the neon abundance of the Sun? Astrophys. J. 631, 1281–1285 (2005a). doi:10.1086/431926
J.N. Bahcall, A.M. Serenelli, S. Basu, New solar opacities, abundances, helioseismology, and neutrino fluxes. Astrophys. J. Lett. 621, 85–88 (2005b). doi:10.1086/428929
J.N. Bahcall, S. Basu, M. Pinsonneault, A.M. Serenelli, Helioseismological implications of recent solar abundance determinations. Astrophys. J. 618, 1049–1056 (2005c). doi:10.1086/426070
C.S. Baldner, S. Basu, Solar cycle related changes at the base of the convection zone. Astrophys. J. 686, 1349–1361 (2008). doi:10.1086/591514
C.S. Baldner, S. Basu, R.S. Bogart, O. Burtseva, I. González Hernández, D. Haber, F. Hill, R. Howe, K. Jain, R.W. Komm, M.C. Rabello-Soares, S. Tripathy, Latest results found with ring-diagram analysis. Sol. Phys. 287, 57–69 (2013). doi:10.1007/s11207-012-0171-x
S. Basu, H.M. Antia, Helioseismology and solar abundances. Phys. Rep. 457, 217–283 (2008). doi:10.1016/j.physrep.2007.12.002
S. Basu, H.M. Antia, Revisiting the issue of solar abundances. J. Phys. Conf. Ser. 440(1), 012017 (2013). doi:10.1088/1742-6596/440/1/012017
S. Basu, J. Christensen-Dalsgaard, W.J. Chaplin, Y. Elsworth, G.R. Isaak, R. New, J. Schou, M.J. Thompson, S. Tomczyk, Solar internal sound speed as inferred from combined BiSON and LOWL oscillation frequencies. Mon. Not. R. Astron. Soc. 292, 243 (1997)
V.A. Baturin, W. Däppen, D.O. Gough, S.V. Vorontsov, Seismology of the solar envelope: sound-speed gradient in the convection zone and its diagnosis of the equation of state. Mon. Not. R. Astron. Soc. 316, 71–83 (2000). doi:10.1046/j.1365-8711.2000.03459.x
A.C. Birch, D.C. Braun, S.M. Hanasoge, R. Cameron, Surface-focused seismic holography of sunspots: II. Expectations from numerical simulations using sound-speed perturbations. Sol. Phys. 254, 17–27 (2009). doi:10.1007/s11207-008-9282-9
A.C. Birch, D.C. Braun, K.D. Leka, G. Barnes, B. Javornik, Helioseismology of pre-emerging active regions. II. Average emergence properties. Astrophys. J. 762, 131 (2013). doi:10.1088/0004-637X/762/2/131
D.C. Braun, Comment on ‘Detection of emerging sunspot regions in the solar interior’. Science 336, 296 (2012). doi:10.1126/science.1215425
D.C. Braun, A.C. Birch, M. Rempel, T.L. Duvall, Helioseismology of a realistic magnetoconvective sunspot simulation. Astrophys. J. 744, 77 (2012). doi:10.1088/0004-637X/744/1/77
E. Caffau, H.-G. Ludwig, P. Bonifacio, R. Faraggiana, M. Steffen, B. Freytag, I. Kamp, T.R. Ayres, The solar photospheric abundance of carbon. Analysis of atomic carbon lines with the CO5BOLD solar model. Astron. Astrophys. 514, 92 (2010). doi:10.1051/0004-6361/200912227
E. Caffau, H.-G. Ludwig, M. Steffen, B. Freytag, P. Bonifacio, Solar chemical abundances determined with a CO5BOLD 3D model atmosphere. Sol. Phys. 268, 255–269 (2011). doi:10.1007/s11207-010-9541-4
P.S. Cally, Magnetic and thermal phase shifts in the local helioseismology of sunspots. Mon. Not. R. Astron. Soc. 395, 1309–1318 (2009). doi:10.1111/j.1365-2966.2009.14708.x
P. Charbonneau, Dynamo models of the solar cycle. Living Rev. Sol. Phys. 7, 3 (2010). doi:10.12942/lrsp-2010-3
P. Charbonneau, Solar dynamo theory. Annu. Rev. Astron. Astrophys. 52, 251–290 (2014). doi:10.1146/annurev-astro-081913-040012
D.-Y. Chou, A. Serebryanskiy, Searching for the signature of the magnetic fields at the base of the solar convection zone with solar cycle variations of p-mode travel time. Astrophys. J. Lett. 578, 157–160 (2002). doi:10.1086/344635
D.-Y. Chou, A. Serebryanskiy, In search of the solar cycle variations of p-mode frequencies generated by perturbations in the solar interior. Astrophys. J. 624, 420–427 (2005). doi:10.1086/428925
A.R. Choudhuri, M. Schussler, M. Dikpati, The solar dynamo with meridional circulation. Astron. Astrophys. 303, 29 (1995)
J. Christensen-Dalsgaard, Helioseismology. Rev. Mod. Phys. 74, 1073–1129 (2002). doi:10.1103/RevModPhys.74.1073
J. Christensen-Dalsgaard, M.J. Thompson, Observational results and issues concerning the tachocline, in The Solar Tachocline, ed. by D.W. Hughes, R. Rosner, N.O. Weiss (2007), p. 53
J. Christensen-Dalsgaard, D.O. Gough, M.J. Thompson, The depth of the solar convection zone. Astrophys. J. 378, 413–437 (1991). doi:10.1086/170441
J. Christensen-Dalsgaard, C.R. Proffitt, M.J. Thompson, Effects of diffusion on solar models and their oscillation frequencies. Astrophys. J. Lett. 403, 75–78 (1993). doi:10.1086/186725
J. Christensen-Dalsgaard, T.L. Duvall Jr., D.O. Gough, J.W. Harvey, E.J. Rhodes Jr., Speed of sound in the solar interior. Nature 315, 378–382 (1985). doi:10.1038/315378a0
T. Corbard, M.J. Thompson, The subsurface radial gradient of solar angular velocity from MDI f-mode observations. Sol. Phys. 205, 211–229 (2002). doi:10.1023/A:1014224523374
W. Däppen, D.O. Gough, On the determination of the helium abundance of the solar convection zone, in Liege International Astrophysical Colloquia, vol. 25 (1984), pp. 264–268
W. Däppen, D.O. Gough, Progress report on helium abundance determination, in NATO ASIC Proc. 169: Seismology of the Sun and the Distant Stars, ed. by D.O. Gough (1986), pp. 275–280
W. Däppen, D.O. Gough, M.J. Thompson, Further progress on the helium abundance determination, in Seismology of the Sun and Sun-Like Stars, ed. by E.J. Rolfe. ESA Special Publication, vol. 286 (1988), pp. 505–510
K. DeGrave, J. Jackiewicz, M. Rempel, Time-distance helioseismology of two realistic sunspot simulations. Astrophys. J. 794, 18 (2014a). doi:10.1088/0004-637X/794/1/18
K. DeGrave, J. Jackiewicz, M. Rempel, Validating time-distance helioseismology with realistic quiet-Sun simulations. Astrophys. J. 788, 127 (2014b). doi:10.1088/0004-637X/788/2/127
F.-L. Deubner, D. Gough, Helioseismology: oscillations as a diagnostic of the solar interior. Annu. Rev. Astron. Astrophys. 22, 593–619 (1984). doi:10.1146/annurev.aa.22.090184.003113
M. Dikpati, P.A. Gilman, Flux-transport solar dynamos. Space Sci. Rev. 144, 67–75 (2009). doi:10.1007/s11214-008-9484-3
F.W.W. Dilke, D.O. Gough, The solar spoon. Nature 240, 262–294 (1972). doi:10.1038/240262a0
T.L. Duvall, S.M. Hanasoge, Subsurface supergranular vertical flows as measured using large distance separations in time-distance helioseismology. Sol. Phys. 287, 71–83 (2013). doi:10.1007/s11207-012-0010-0
T.L. Duvall, S.M. Hanasoge, S. Chakraborty, Additional evidence supporting a model of shallow, high-speed supergranulation. Sol. Phys. 289, 3421–3433 (2014). doi:10.1007/s11207-014-0537-3
T.L. Duvall Jr., W.A. Dziembowski, P.R. Goode, D.O. Gough, J.W. Harvey, J.W. Leibacher, Internal rotation of the Sun. Nature 310, 22–25 (1984). doi:10.1038/310022a0
P. Eggenberger, G. Meynet, A. Maeder, A. Miglio, J. Montalban, F. Carrier, S. Mathis, C. Charbonnel, S. Talon, Effects of rotational mixing on the asteroseismic properties of solar-type stars. Astron. Astrophys. 519, 116 (2010). doi:10.1051/0004-6361/201014713
N.A. Featherstone, Exploring convection and dynamos in the cores and envelopes of stars. PhD thesis, University of Colorado at Boulder, 2011
N.A. Featherstone, B.W. Hindman, M.J. Thompson, Ring-analysis flow measurements of sunspot outflows. J. Phys. Conf. Ser. 271(1), 012002 (2011). doi:10.1088/1742-6596/271/1/012002
S.T. Fletcher, A.-M. Broomhall, D. Salabert, S. Basu, W.J. Chaplin, Y. Elsworth, R.A. Garcia, R. New, A seismic signature of a second dynamo? Astrophys. J. Lett. 718, 19–22 (2010). doi:10.1088/2041-8205/718/1/L19
P.M. Giles, Time-distance measurements of large-scale flows in the solar convection zone. PhD thesis, Stanford University, 2000
P.A. Gilman, R. Howe, Meridional motion and the slope of isorotation contours, in GONG+ 2002. Local and Global Helioseismology: The Present and Future, ed. by H. Sawaya-Lacoste. ESA Special Publication, vol. 517 (2003), pp. 283–285
L. Gizon, A.C. Birch, Local helioseismology. Living Rev. Sol. Phys. 2, 6 (2005). doi:10.12942/lrsp-2005-6
L. Gizon, A.C. Birch, Helioseismology challenges models of solar convection. Proc. Natl. Acad. Sci. 109, 11896–11897 (2012). doi:10.1073/pnas.1208875109
L. Gizon, A.C. Birch, H.C. Spruit, Local helioseismology: three-dimensional imaging of the solar interior. Annu. Rev. Astron. Astrophys. 48, 289–338 (2010). doi:10.1146/annurev-astro-082708-101722
I. González Hernández, C. Lindsey, D.C. Braun, R.S. Bogart, P.H. Scherrer, F. Hill, Far-side helioseismic maps: the next generation. J. Phys. Conf. Ser. 440(1), 012029 (2013). doi:10.1088/1742-6596/440/1/012029
D. Gough, J. Toomre, Seismic observations of the solar interior. Annu. Rev. Astron. Astrophys. 29, 627–685 (1991). doi:10.1146/annurev.aa.29.090191.003211
D.O. Gough, Theory of solar oscillations, in Future Missions in Solar, Heliospheric & Space Plasma Physics, ed. by E. Rolfe, B. Battrick. ESA Special Publication, vol. 235 (1985), pp. 183–197
B.J. Greer, B.W. Hindman, J. Toomre, Multi-ridge fitting for ring-diagram helioseismology. Sol. Phys. 289, 2823–2843 (2014). doi:10.1007/s11207-014-0514-x
B.J. Greer, B.W. Hindman, N.A. Featherstone, J. Toomre, Helioseismic imaging of fast convective flows throughout the near-surface shear layer. Astrophys. J. Lett. (2015, in press). arXiv:1504.00699
N. Grevesse, A. Noels, Cosmic abundances of the elements, in Origin and Evolution of the Elements, ed. by N. Prantzos, E. Vangioni-Flam, M. Casse (1993), pp. 15–25
J.A. Guzik, Challenges in solar and stellar model physics (2014). arXiv:1401.0547
D.A. Haber, B.W. Hindman, J. Toomre, R.S. Bogart, R.M. Larsen, F. Hill, Evolving submerged meridional circulation cells within the upper convection zone revealed by ring-diagram analysis. Astrophys. J. 570, 855–864 (2002). doi:10.1086/339631
S.M. Hanasoge, A. Birch, L. Gizon, J. Tromp, The adjoint method applied to time-distance helioseismology. Astrophys. J. 738, 100 (2011). doi:10.1088/0004-637X/738/1/100
S.M. Hanasoge, T.L. Duvall, K.R. Sreenivasan, Anomalously weak solar convection. Proc. Natl. Acad. Sci. 109, 11928–11932 (2012). doi:10.1073/pnas.1206570109
S. Hanasoge, M.S. Miesch, M. Roth, J. Schou, M. Schüssler, M.J. Thompson, Solar dynamics, rotation, convection and overshoot. Space Sci. Rev. (2015, this issue). doi:10.1007/s11214-015-0144-0
G. Hazra, B.B. Karak, A.R. Choudhuri, Is a deep one-cell meridional circulation essential for the flux transport solar dynamo? Astrophys. J. 782, 93 (2014). doi:10.1088/0004-637X/782/2/93
F. Hill, P.B. Stark, R.T. Stebbins, E.R. Anderson, H.M. Antia, T.M. Brown, T.L. Duvall Jr., D.A. Haber, J.W. Harvey, D.H. Hathaway, R. Howe, R.P. Hubbard, H.P. Jones, J.R. Kennedy, S.G. Korzennik, A.G. Kosovichev, J.W. Leibacher, K.G. Libbrecht, J.A. Pintar, E.J. Rhodes Jr., J. Schou, M.J. Thompson, S. Tomczyk, C.G. Toner, R. Toussaint, W.E. Williams, The solar acoustic spectrum and eigenmode parameters. Science 272, 1292–1295 (1996). doi:10.1126/science.272.5266.1292
B.W. Hindman, L. Gizon, T.L. Duvall Jr., D.A. Haber, J. Toomre, Comparison of solar subsurface flows assessed by ring and time-distance analyses. Astrophys. J. 613, 1253–1262 (2004). doi:10.1086/423263
R. Howe, Solar interior rotation and its variation. Living Rev. Sol. Phys. 6, 1 (2009). doi:10.12942/lrsp-2009-1
R. Howe, J. Christensen-Dalsgaard, F. Hill, R.W. Komm, R.M. Larsen, J. Schou, M.J. Thompson, J. Toomre, Dynamic variations at the base of the solar convection zone. Science 287, 2456–2460 (2000). doi:10.1126/science.287.5462.2456
R. Howe, R. Komm, F. Hill, J. Christensen-Dalsgaard, T.P. Larson, J. Schou, M.J. Thompson, J. Toomre, Rotation-rate variations at the tachocline: an update. J. Phys. Conf. Ser. 271(1), 012075 (2011). doi:10.1088/1742-6596/271/1/012075
R. Howe, J. Christensen-Dalsgaard, F. Hill, R. Komm, T.P. Larson, M. Rempel, J. Schou, M.J. Thompson, The high-latitude branch of the solar torsional oscillation in the rising phase of cycle 24. Astrophys. J. Lett. 767, 20 (2013). doi:10.1088/2041-8205/767/1/L20
S. Ilonidis, J. Zhao, A. Kosovichev, Detection of emerging sunspot regions in the solar interior. Science 333, 993 (2011). doi:10.1126/science.1206253
S.M. Jefferies, S.V. Vorontsov, A new way to model the solar oscillation ℓ-ν power spectrum. Sol. Phys. 220, 347–359 (2004). doi:10.1023/B:SOLA.0000031404.13076.73
J.R. Kennedy, S.M. Jefferies, F. Hill, Solar G-mode signatures in P-mode signals, in GONG 1992. Seismic Investigation of the Sun and Stars, ed. by T.M. Brown. Astronomical Society of the Pacific Conference Series, vol. 42 (1993), p. 273
R. Komm, I. González Hernández, F. Hill, R. Bogart, M.C. Rabello-Soares, D. Haber, Subsurface meridional flow from HMI using the ring-diagram pipeline. Sol. Phys. 287, 85–106 (2013). doi:10.1007/s11207-012-0073-y
R. Komm, R. Howe, I. González Hernández, F. Hill, Solar-cycle variation of subsurface zonal flow. Sol. Phys. 289, 3435–3455 (2014). doi:10.1007/s11207-014-0490-1
A.G. Kosovichev, J. Christensen-Dalsgaard, W. Daeppen, W.A. Dziembowski, D.O. Gough, M.J. Thompson, Sources of uncertainty in direct seismological measurements of the solar helium abundance. Mon. Not. R. Astron. Soc. 259, 536–558 (1992)
A.G. Kosovichev, S. Basu, R. Bogart, T.L. Duvall Jr., I. Gonzalez-Hernandez, D. Haber, T. Hartlep, R. Howe, R. Komm, S. Kholikov, K.V. Parchevsky, S. Tripathy, J. Zhao, Local helioseismology of sunspot regions: comparison of ring-diagram and time-distance results. J. Phys. Conf. Ser. 271(1), 012005 (2011). doi:10.1088/1742-6596/271/1/012005
P. Kumar, E.J. Quataert, J.N. Bahcall, Observational searches for solar G-modes: some theoretical considerations. Astrophys. J. Lett. 458, 83 (1996). doi:10.1086/309926
T.P. Larson, J. Schou, Improvements in global mode analysis. J. Phys. Conf. Ser. 118(1), 012083 (2008). doi:10.1088/1742-6596/118/1/012083
E.M. Lavely, M.H. Ritzwoller, The effect of global-scale, steady-state convection and elastic-gravitational asphericities on helioseismic oscillations. Philos. Trans. R. Soc. Lond. Ser. A 339, 431–496 (1992). doi:10.1098/rsta.1992.0048
C. Lindsey, D.C. Braun, Seismic images of the far side of the Sun. Science 287, 1799–1801 (2000). doi:10.1126/science.287.5459.1799
K. Lodders, Solar system abundances of the elements, in Principles and Perspectives in Cosmochemistry, ed. by A. Goswami, B.E. Reddy (2010), p. 379. doi:10.1007/978-3-642-10352-0_8
Y.-Q. Lou, Solar P-modes modulated by interior G-modes. Astrophys. J. Lett. 556, 121–125 (2001). doi:10.1086/322270
S. Mathis, The interior of the Sun in 3-D: beyond the spherical Sun picture. Astron. Nachr. 331, 883 (2010). doi:10.1002/asna.201011419
S. Mathis, Transport processes in stellar interiors, in Lecture Notes in Physics, ed. by M. Goupil, K. Belkacem, C. Neiner, F. Lignières, J.J. Green. Lecture Notes in Physics, vol. 865 (Springer, Berlin, 2013), p. 23. doi:10.1007/978-3-642-33380-4_2
M.S. Miesch, The solar dynamo. Philos. Trans. R. Soc. Lond. Ser. A 370, 3049–3069 (2012). doi:10.1098/rsta.2011.0507
M.S. Miesch, J. Toomre, Turbulence, magnetism, and shear in stellar interiors. Annu. Rev. Fluid Mech. 41, 317–345 (2009). doi:10.1146/annurev.fluid.010908.165215
M.S. Miesch, A.S. Brun, M.L. De Rosa, J. Toomre, Structure and evolution of giant cells in global models of solar convection. Astrophys. J. 673, 557–575 (2008). doi:10.1086/523838
M.S. Miesch, N.A. Featherstone, M. Rempel, R. Trampedach, On the amplitude of convective velocities in the deep solar interior. Astrophys. J. 757, 128 (2012). doi:10.1088/0004-637X/757/2/128
U. Mitra-Kraev, M.J. Thompson, Meridional flow profile measurements with SOHO/MDI. Astron. Nachr. 328, 1009–1012 (2007). doi:10.1002/asna.200710873
H. Moradi, P.S. Cally, Helioseismic implications of mode conversion, in Astronomical Society of the Pacific Conference Series, ed. by K. Jain, S.C. Tripathy, F. Hill, J.W. Leibacher, A.A. Pevtsov. Astronomical Society of the Pacific Conference Series, vol. 478 (2013), p. 263
H. Moradi, C. Baldner, A.C. Birch, D.C. Braun, R.H. Cameron, T.L. Duvall, L. Gizon, D. Haber, S.M. Hanasoge, B.W. Hindman, J. Jackiewicz, E. Khomenko, R. Komm, P. Rajaguru, M. Rempel, M. Roth, R. Schlichenmaier, H. Schunker, H.C. Spruit, K.G. Strassmeier, M.J. Thompson, S. Zharkov, Modeling the subsurface structure of sunspots. Sol. Phys. 267, 1–62 (2010). doi:10.1007/s11207-010-9630-4
K. Mussack, D. Gough, Measuring solar abundances with seismology, in Solar-Stellar Dynamos as Revealed by Helio- and Asteroseismology: GONG 2008/SOHO 21, ed. by M. Dikpati, T. Arentoft, I. González Hernández, C. Lindsey, F. Hill. Astronomical Society of the Pacific Conference Series, vol. 416 (2009), p. 203
A.A. Reinard, J. Henthorn, R. Komm, F. Hill, Evidence that temporal changes in solar subsurface helicity precede active region flaring. Astrophys. J. Lett. 710, 121–125 (2010). doi:10.1088/2041-8205/710/2/L121
O. Richard, W.A. Dziembowski, R. Sienkiewicz, P.R. Goode, On the accuracy of helioseismic determination of solar helium abundance. Astron. Astrophys. 338, 756–760 (1998)
M. Roth, M. Stix, Meridional circulation and global solar oscillations. Sol. Phys. 251, 77–89 (2008). doi:10.1007/s11207-008-9232-6
A. Schad, J. Timmer, M. Roth, Global helioseismic evidence for a deeply penetrating solar meridional flow consisting of multiple flow cells. Astrophys. J. Lett. 778, 38 (2013). doi:10.1088/2041-8205/778/2/L38
J. Schou, On the analysis of helioseismic data. PhD thesis, Aarhus University, 1992
J. Schou, H.M. Antia, S. Basu, R.S. Bogart, R.I. Bush, S.M. Chitre, J. Christensen-Dalsgaard, M.P. Di Mauro, W.A. Dziembowski, A. Eff-Darwich, D.O. Gough, D.A. Haber, J.T. Hoeksema, R. Howe, S.G. Korzennik, A.G. Kosovichev, R.M. Larsen, F.P. Pijpers, P.H. Scherrer, T. Sekii, T.D. Tarbell, A.M. Title, M.J. Thompson, J. Toomre, Helioseismic studies of differential rotation in the solar envelope by the solar oscillations investigation using the Michelson Doppler Imager. Astrophys. J. 505, 390–417 (1998). doi:10.1086/306146
D. Seligman, G.J.D. Petrie, R. Komm, A combined study of photospheric magnetic and current helicities and subsurface kinetic helicities of solar active regions during 2006–2013. Astrophys. J. 795, 113 (2014). doi:10.1088/0004-637X/795/2/113
S. Talon, C. Charbonnel, Angular momentum transport by internal gravity waves. IV. Wave generation by surface convection zone, from the pre-main sequence to the early-AGB in intermediate mass stars. Astron. Astrophys. 482, 597–605 (2008). doi:10.1051/0004-6361:20078620
M.J. Thompson, J. Toomre, E.R. Anderson, H.M. Antia, G. Berthomieu, D. Burtonclay, S.M. Chitre, J. Christensen-Dalsgaard, T. Corbard, M. De Rosa, C.R. Genovese, D.O. Gough, D.A. Haber, J.W. Harvey, F. Hill, R. Howe, S.G. Korzennik, A.G. Kosovichev, J.W. Leibacher, F.P. Pijpers, J. Provost, E.J. Rhodes Jr., J. Schou, T. Sekii, P.B. Stark, P.R. Wilson, Differential rotation and dynamics of the solar interior. Science 272, 1300–1305 (1996). doi:10.1126/science.272.5266.1300
M.J. Thompson, J. Christensen-Dalsgaard, M.S. Miesch, J. Toomre, The internal rotation of the Sun. Annu. Rev. Astron. Astrophys. 41, 599–643 (2003). doi:10.1146/annurev.astro.41.011802.094848
S. Tomczyk, J. Schou, M.J. Thompson, Measurement of the rotation rate in the deep solar interior. Astrophys. J. Lett. 448, 57 (1995). doi:10.1086/309598
S. Turck-Chièze, P.-H. Carton, J. Ballot, J.-C. Barrière, P. Daniel-Thomas, A. Delbart, D. Desforges, R.A. Garcia, R. Granelli, S. Mathur, F. Nunio, Y. Piret, P.L. Pallé, A.J. Jiménez, S.J. Jiménez-Reyes, J.M. Robillot, E. Fossat, A.M. Eff-Darwich, B. Gelly, GOLF-NG spectrometer, a space prototype for studying the dynamics of the deep solar interior. Adv. Space Res. 38, 1812–1818 (2006). doi:10.1016/j.asr.2005.09.033
S.V. Vorontsov, S.M. Jefferies, Modeling solar oscillation power spectra. I. Adaptive response function for Doppler velocity measurements. Astrophys. J. 623, 1202–1214 (2005). doi:10.1086/427913
S.V. Vorontsov, S.M. Jefferies, Modeling solar oscillation power spectra. II. Parametric model of spectral lines observed in Doppler-velocity measurements. Astrophys. J. 778, 75 (2013). doi:10.1088/0004-637X/778/1/75
S.V. Vorontsov, J. Christensen-Dalsgaard, J. Schou, V.N. Strakhov, M.J. Thompson, Helioseismic measurement of solar torsional oscillations. Science 296, 101–103 (2002). doi:10.1126/science.1069190
M.F. Woodard, R.W. Noyes, Change of solar oscillation eigenfrequencies with the solar cycle. Nature 318, 449–450 (1985). doi:10.1038/318449a0
J. Zhao, K. Nagashima, R.S. Bogart, A.G. Kosovichev, T.L. Duvall Jr., Systematic center-to-limb variation in measured helioseismic travel times and its effect on inferences of solar interior meridional flows. Astrophys. J. Lett. 749, 5 (2012). doi:10.1088/2041-8205/749/1/L5
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Toomre, J., Thompson, M.J. Prospects and Challenges for Helioseismology. Space Sci Rev 196, 1–14 (2015). https://doi.org/10.1007/s11214-015-0147-x
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DOI: https://doi.org/10.1007/s11214-015-0147-x