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Eclipses Observed by Large Yield RAdiometer (LYRA) – A Sensitive Tool to Test Models for the Solar Irradiance

  • PROBA2 – FIRST TWO YEARS OF SOLAR OBSERVATION
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Abstract

We analyze the light curves of the recent solar eclipses measured by the Herzberg channel (200 – 220 nm) of the Large Yield RAdiometer (LYRA) onboard Project for OnBoard Autonomy (PROBA2). The measurements allow us to accurately retrieve the center-to-limb variations (CLV) of the solar brightness. The formation height of the radiation depends on the observing angle, so the examination of the CLV provide information about a broad range of heights in the solar atmosphere. We employ the 1D NLTE radiative transfer COde for Solar Irradiance (COSI) to model the measured light curves and corresponding CLV dependencies. The modeling is used to test and constrain the existing 1D models of the solar atmosphere, e.g. the temperature structure of the photosphere and the treatment of the pseudo-continuum opacities in the Herzberg continuum range. We show that COSI can accurately reproduce not only the irradiance from the entire solar disk, but also the measured CLV. Hence it can be used as a reliable tool for modeling the variability of the spectral solar irradiance.

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References

  • Allende Prieto, C., Asplund, M., Fabiani Bendicho, P.: 2004, Center-to-limb variation of solar line profiles as a test of NLTE line formation calculations. Astron. Astrophys. 423, 1109 – 1117. doi: 10.1051/0004-6361:20047050 .

    Article  ADS  Google Scholar 

  • Benmoussa, A., Schühle, U., Haenen, K., Nesládek, M., Koizumi, S., Hochedez, J.-F.: 2004, PIN diamond detector development for LYRA, the solar VUV radiometer on board PROBA II. Phys. Status Solidi, a Appl. Res. 201, 2536 – 2541. doi: 10.1002/pssa.200405187 .

    Article  ADS  Google Scholar 

  • Benmoussa, A., Dammasch, I.E., Hochedez, J.-F., Schühle, U., Koller, S., Stockman, Y., Scholze, F., Richter, M., Kroth, U., Laubis, C., Dominique, M., Kretzschmar, M., Mekaoui, S., Gissot, S., Theissen, A., Giordanengo, B., Bolsee, D., Hermans, C., Gillotay, D., Defise, J.-M., Schmutz, W.: 2009, Pre-flight calibration of LYRA, the solar VUV radiometer on board PROBA2. Astron. Astrophys. 508, 1085 – 1094. doi: 10.1051/0004-6361/200913089 .

    Article  ADS  Google Scholar 

  • Berdyugina, S.V., Solanki, S.K., Frutiger, C.: 2003, The molecular Zeeman effect and diagnostics of solar and stellar magnetic fields. II. Synthetic Stokes profiles in the Zeeman regime. Astron. Astrophys. 412, 513. doi: 10.1051/0004-6361:20031473 .

    Article  ADS  Google Scholar 

  • Brasseur, G., de Rudder, A., Keating, G.M., Pitts, M.C.: 1987, Response of middle atmosphere to short-term solar ultraviolet variations. II. Theory. J. Geophys. Res. 92, 903 – 914. doi: 10.1029/JD092iD01p00903 .

    Article  ADS  Google Scholar 

  • Busá, I., Andretta, V., Gomez, M.T., Terranegra, L.: 2001, A method to estimate the effect of line blanketing in NLTE radiative transfer calculations. Astron. Astrophys. 373, 993 – 997. doi: 10.1051/0004-6361:20010661 .

    Article  ADS  Google Scholar 

  • Domingo, V., Ermolli, I., Fox, P., Fröhlich, C., Haberreiter, M., Krivova, N., Kopp, G., Schmutz, W., Solanki, S.K., Spruit, H.C., Unruh, Y., Vögler, A.: 2009, Solar surface magnetism and irradiance on time scales from days to the 11-year cycle. Space Sci. Rev. 145, 337 – 380. doi: 10.1007/s11214-009-9562-1 .

    Article  ADS  Google Scholar 

  • Dominique, M., Hochedez, J.-F., Schmutz, W., Dammasch, I., BenMoussa, A., Shapiro, A.I., Kretzschmar, M.: 2012, The LYRA instrument on-board PROBA2: description and in-flight performances. Solar Phys. submitted.

  • Fligge, M., Solanki, S.K., Unruh, Y.C.: 2000, Modelling irradiance variations from the surface distribution of the solar magnetic field. Astron. Astrophys. 353, 380 – 388. ADS: 2000A%26A...353..380F .

    ADS  Google Scholar 

  • Fontenla, J., White, O.R., Fox, P.A., Avrett, E.H., Kurucz, R.L.: 1999, Calculation of solar irradiances. I. Synthesis of the solar spectrum. Astrophys. J. 518, 480 – 499. doi: 10.1086/307258 .

    Article  ADS  Google Scholar 

  • Fontenla, J.M., Curdt, W., Haberreiter, M., Harder, J., Tian, H.: 2009, Semiempirical models of the solar atmosphere. III. Set of non-LTE models for far-ultraviolet/extreme-ultraviolet irradiance computation. Astrophys. J. 707, 482 – 502. doi: 10.1088/0004-637X/707/1/482 .

    Article  ADS  Google Scholar 

  • Gray, D.F.: 1992, The Observation and Analysis of Stellar Photospheres, Camb. Astrophys. Ser. 20, Cambridge Univ. Press, Cambridge. ADS: 1992oasp.book.....G .

    Google Scholar 

  • Gray, L.J., Beer, J., Geller, M., Haigh, J.D., Lockwood, M., Matthes, K., Cubasch, U., Fleitmann, D., Harrison, G., Hood, L., Luterbacher, J., Meehl, G.A., Shindell, D., van Geel, B., White, W.: 2010, Solar influences on climate. Rev. Geophys. 48, RG4001. doi: 10.1029/2009RG000282 .

    Article  ADS  Google Scholar 

  • Haberreiter, M., Schmutz, W., Hubeny, I.: 2008, NLTE model calculations for the solar atmosphere with an iterative treatment of opacity distribution functions. Astron. Astrophys. 492, 833 – 840. doi: 10.1051/0004-6361:200809503 .

    Article  ADS  Google Scholar 

  • Haigh, J.D.: 2007, The Sun and the Earth’s climate. Living Rev. Solar Phys. 4, 2. http://www.livingreviews.org/lrsp-2007-2 . ADS: 2007LRSP....4....2H .

    Article  MathSciNet  ADS  Google Scholar 

  • Haigh, J.D., Winning, A.R., Toumi, R., Harder, J.W.: 2010, An influence of solar spectral variations on radiative forcing of climate. Nature 467, 696 – 699. doi: 10.1038/nature09426 .

    Article  ADS  Google Scholar 

  • Hamann, W.-R., Schmutz, W.: 1987, Computed He ii spectra for Wolf–Rayet stars – A grid of models. Astron. Astrophys. 174, 173 – 182. ADS: 1987A%26A...174..173H .

    ADS  Google Scholar 

  • Harder, J.W., Fontenla, J., Lawrence, G., Woods, T., Rottman, G.: 2005, The spectral irradiance monitor: measurement equations and calibration. Solar Phys. 230, 169 – 204. doi: 10.1007/s11207-005-1528-1 .

    Article  ADS  Google Scholar 

  • Harder, J.W., Fontenla, J.M., Pilewskie, P., Richard, E.C., Woods, T.N.: 2009, Trends in solar spectral irradiance variability in the visible and infrared. Geophys. Res. Lett. 36, L07801. doi: 10.1029/2008GL036797 .

    Article  ADS  Google Scholar 

  • Hestroffer, D., Magnan, C.: 1998, Wavelength dependency of the Solar limb darkening. Astron. Astrophys. 333, 338 – 342. ADS: 1998A%26A...333..338H .

    ADS  Google Scholar 

  • Hochedez, J.-F., Schmutz, W., Stockman, Y., Schühle, U., Benmoussa, A., Koller, S., Haenen, K., Berghmans, D., Defise, J.-M., Halain, J.-P., Theissen, A., Delouille, V., Slemzin, V., Gillotay, D., Fussen, D., Dominique, M., Vanhellemont, F., McMullin, D., Kretzschmar, M., Mitrofanov, A., Nicula, B., Wauters, L., Roth, H., Rozanov, E., Rüedi, I., Wehrli, C., Soltani, A., Amano, H., van der Linden, R., Zhukov, A., Clette, F., Koizumi, S., Mortet, V., Remes, Z., Petersen, R., Nesládek, M., D’Olieslaeger, M., Roggen, J., Rochus, P.: 2006, LYRA, a solar UV radiometer on Proba2. Adv. Space Res. 37, 303 – 312. doi: 10.1016/j.asr.2005.10.041 .

    Article  ADS  Google Scholar 

  • Hubeny, I.: 1981, Non-LTE analysis of the ultraviolet spectrum of A type stars. II Theoretical considerations and interpretation of the VEGA Lyman-alpha region. Astron. Astrophys. 98, 96 – 111. ADS: 1981A%26A....98...96H .

    ADS  Google Scholar 

  • Kishore Kumar, K., Subrahmanyam, K.V., John, S.R.: 2011, New insights into the stratospheric and mesosphere-lower thermospheric ozone response to the abrupt changes in solar forcing. Ann. Geophys. 29, 1093 – 1099. doi: 10.5194/angeo-29-1093-2011 .

    Article  ADS  Google Scholar 

  • Kleint, L., Shapiro, A.I., Berdyugina, S.V., Bianda, M.: 2011, Solar turbulent magnetic fields: Non-LTE modeling of the Hanle effect in the C2 molecule. Astron. Astrophys. 536, 47. ADS: 2011A%26A...536A..47K .

    Article  ADS  Google Scholar 

  • Koesterke, L., Allende Prieto, C., Lambert, D.L.: 2008, Center-to-limb variation of solar three-dimensional hydrodynamical simulations. Astrophys. J. 680, 764 – 773. doi: 10.1086/587471 .

    Article  ADS  Google Scholar 

  • Krivova, N.A., Solanki, S.K.: 2008, Models of solar irradiance variations: Current status. J. Astrophys. Astron. 29, 151 – 158. doi: 10.1007/s12036-008-0018-x .

    Article  ADS  Google Scholar 

  • Krivova, N.A., Solanki, S.K., Unruh, Y.C.: 2011, Towards a long-term record of solar total and spectral irradiance. J. Atmos. Solar-Terr. Phys. 73, 223 – 234. doi: 10.1016/j.jastp.2009.11.013 .

    Article  ADS  Google Scholar 

  • Krivova, N.A., Solanki, S.K., Fligge, M., Unruh, Y.C.: 2003, Reconstruction of solar irradiance variations in cycle 23: Is solar surface magnetism the cause? Astron. Astrophys. 399, 1 – 4. doi: 10.1051/0004-6361:20030029 .

    Article  ADS  Google Scholar 

  • Kurucz, R.L.: 2005, Including all the lines. Mem. Soc. Astron. Ital. Suppl. 8, 86. ADS: 2005MSAIS...8...86K .

    ADS  Google Scholar 

  • McClintock, W.E., Snow, M., Woods, T.N.: 2005, Solar-Stellar Irradiance Comparison Experiment II (SOLSTICE II): Pre-launch and on-orbit calibrations. Solar Phys. 230, 259 – 294. doi: 10.1007/s11207-005-1585-5 .

    Article  ADS  Google Scholar 

  • Neckel, H.: 1996, On the wavelength dependency of solar limb darkening (λλ303 to 1099 nm). Solar Phys. 167, 9 – 23. ADS: 1996SoPh..167....9N , doi: 10.1007/BF00146325 .

    Article  ADS  Google Scholar 

  • Neckel, H.: 2005, Analytical reference functions F(λ) for the Sun’s limb darkening and its absolute continuum intensities (λλ300 to 1100 m). Solar Phys. 229, 13 – 33. doi: 10.1007/s11207-005-4081-z .

    Article  ADS  Google Scholar 

  • Neckel, H., Labs, D.: 1994, Solar limb darkening 1986 – 1990 (λλ303 to 1099 nm). Solar Phys. 153, 91. ADS: 1994SoPh..153...91N , doi: 10.1007/BF00712494 .

    Article  ADS  Google Scholar 

  • Rottman, G.: 2005, The SORCE mission. Solar Phys. 230, 7 – 25. doi: 10.1007/s11207-005-8112-6 .

    Article  ADS  Google Scholar 

  • Rozanov, E., Egorova, T., Schmutz, W., Peter, T.: 2006, Simulation of the stratospheric ozone and temperature response to the solar irradiance variability during Sun rotation cycle. J. Atmos. Solar-Terr. Phys. 68, 2203 – 2213. doi: 10.1016/j.jastp.2006.09.004 .

    Article  ADS  Google Scholar 

  • Schmutz, W., Hamann, W.-R., Wessolowski, U.: 1989, Spectral analysis of 30 Wolf–Rayet stars. Astron. Astrophys. 210, 236 – 248. ADS: 1989A%26A...210..236S .

    ADS  Google Scholar 

  • Shapiro, A.I., Schmutz, W., Schoell, M., Haberreiter, M., Rozanov, E.: 2010, NLTE solar irradiance modeling with the COSI code. Astron. Astrophys. 517, A48. doi: 10.1051/0004-6361/200913987 .

    Article  ADS  Google Scholar 

  • Shapiro, A.I., Schmutz, W., Rozanov, E., Schoell, M., Haberreiter, M., Shapiro, A.V., Nyeki, S.: 2011a, A new approach to the long-term reconstruction of the solar irradiance leads to large historical solar forcing. Astron. Astrophys. 529, A67. doi: 10.1051/0004-6361/201016173 .

    Article  ADS  Google Scholar 

  • Shapiro, A.I., Fluri, D.M., Berdyugina, S.V., Bianda, M., Ramelli, R.: 2011b, NLTE modeling of Stokes vector center-to-limb variations in the CN violet system. Astron. Astrophys. 529, A139. doi: 10.1051/0004-6361/200811299 .

    Article  ADS  Google Scholar 

  • Shapiro, A.V., Rozanov, E., Egorova, T., Shapiro, A.I., Peter, T., Schmutz, W.: 2011c, Sensitivity of the Earth’s middle atmosphere to short-term solar variability and its dependence on the choice of solar irradiance data set. J. Atmos. Solar-Terr. Phys. 73, 348 – 355. doi: 10.1016/j.jastp.2010.02.011 .

    Article  ADS  Google Scholar 

  • Shapiro, A.V., Shapiro, A.I., Schmutz, W., Dominique, M., Dammasch, I., Wehrli, C.: 2011d, Solar rotational cycle as observed by LYRA. Solar Phys. this issue.

  • Shchukina, N., Trujillo Bueno, J.: 2001, The iron line formation problem in three-dimensional hydrodynamic models of solar-like photospheres. Astrophys. J. 550, 970 – 990. doi: 10.1086/319789 .

    Article  ADS  Google Scholar 

  • Short, C.I., Hauschildt, P.H.: 2005, A non-LTE line-blanketed model of a solar-type star. Astrophys. J. 618, 926 – 938. doi: 10.1086/426128 .

    Article  ADS  Google Scholar 

  • Short, C.I., Hauschildt, P.H.: 2009, Non-LTE modeling of the near-ultraviolet band of late-type stars. Astrophys. J. 691, 1634 – 1647. doi: 10.1088/0004-637X/691/2/1634 .

    Article  ADS  Google Scholar 

  • Sumod, S.G., Pant, T.K., Vineeth, C., Hossain, M.M., Antonita, M.: 2011, Response of the tropical mesopause to the longest annular solar eclipse of this millennium. J. Geophys. Res. 116, A06317. doi: 10.1029/2010JA016326 .

    Article  ADS  Google Scholar 

  • Thuillier, G., Floyd, L., Woods, T.N., Cebula, R., Hilsenrath, E., Hersé, M., Labs, D.: 2004, Solar irradiance reference spectra. In: Pap, J.M., Fox, P., Frohlich, C., Hudson, H.S., Kuhn, J., McCormack, J., North, G., Sprigg, W., Wu, S.T., (eds.) Solar Variability and its Effects on Climate, Washington Geophys. Monogr. Ser. 141, 171. ADS: 2004GMS...141..171T .

    Chapter  Google Scholar 

  • Thuillier, G., Claudel, J., Djafer, D., Haberreiter, M., Mein, N., Melo, S.M.L., Schmutz, W., Shapiro, A., Short, C.I., Sofia, S.: 2011, The shape of the solar limb: Models and observations. Solar Phys. 268, 125 – 149. doi: 10.1007/s11207-010-9664-7 .

    Article  ADS  Google Scholar 

  • Uitenbroek, H., Criscuoli, S.: 2011, Why one-dimensional models fail in the diagnosis of average spectra from inhomogeneous stellar atmospheres. Astrophys. J. 736, 69. doi: 10.1088/0004-637X/736/1/69 .

    Article  ADS  Google Scholar 

  • Unruh, Y.C., Solanki, S.K., Fligge, M.: 1999, The spectral dependence of facular contrast and solar irradiance variations. Astron. Astrophys. 345, 635 – 642. ADS: 1999A%26A...345..635U .

    ADS  Google Scholar 

  • Vieira, L.E.A., Solanki, S.K., Krivova, N.A., Usoskin, I.: 2011, Evolution of the solar irradiance during the Holocene. Astron. Astrophys. 531, A6. doi: 10.1051/0004-6361/201015843 .

    Article  ADS  Google Scholar 

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Acknowledgements

The research leading to this article was supported by the Swiss National Science Foundation under grant CRSI122-130642 (FUPSOL) and grant 200020-130102. We thank the PROBA2/LYRA science team for their work in producing the data sets used in this article and their helpful recommendations. LYRA is a project of the Centre Spatial de Liège, the Physikalisch-Meteorologisches Observatorium Davos, and the Royal Observatory of Belgium funded by the Belgian Federal Science Policy Office (BELSPO) and by the Swiss Bundesamt für Bildung und Wissenschaft. PROBA2 is an ESA micro satellite operated by the Director for Science and Robotic Exploration.

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PROBA2 – First Two Years of Solar Observation

Guest Editors: David Berghmans, Anik De Groof, Marie Dominique, and Jean-François Hochedez

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Shapiro, A.I., Schmutz, W., Dominique, M. et al. Eclipses Observed by Large Yield RAdiometer (LYRA) – A Sensitive Tool to Test Models for the Solar Irradiance. Sol Phys 286, 271–287 (2013). https://doi.org/10.1007/s11207-012-0063-0

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