Abstract
A tomographic method to probe velocity fields within stellar atmospheres is described. It relies on the design of spectral masks collecting lines forming at given, pre-specified ranges of optical depths. Different masks thus probe different line-formation depths in the stellar atmosphere. The masks are cross-correlated with the observed spectrum to yield cross-correlation functions (CCFs). The cross-correlation has two advantages: (i) to overcome line crowding, and (ii) to reveal minute line asymmetries by adding together many lines. In pulsating stars (long-period variables or Cepheids), the CCFs are double-peaked around maximum light, when the shock front associated with the stellar pulsation is located in the layer probed by the considered mask. Double-peaked CCFs originate in stellar layers where upward- and downward-moving matter co-exist, on each side of the shock front. The application of the tomographic method to long-period variables and supergiants is illustrated.
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Notes
- 1.
The contribution function gives the relative contribution of the different atmospheric layers to an observed quantity, which can be the emergent intensity or flux, or the line depression in the surface intensity or flux.
- 2.
The high-resolution spectrograph at the Observatoire de Haute Provence. See Sect. 8.3.1 for details.
References
Albrow, M.D., Cottrell, P.L.: Contribution functions and the depths of formation of spectral lines in Cepheids. MNRAS 278, 337 (1996)
Alvarez, R., Jorissen, A., Plez, B., Gillet, D., Fokin, A.: Envelope tomography of long-period variable stars. I. The Schwarzschild mechanism and the Balmer emission lines. A&A 362, 655–665 (2000)
Alvarez, R., Jorissen, A., Plez, B., Gillet, D., Fokin, A., Dedecker, M.: Envelope tomography of long-period variable stars II. Method. A&A 379, 288–304 (2001)
Alvarez, R., Jorissen, A., Plez, B., Gillet, D., Fokin, A., Dedecker, M.: Envelope tomography of long-period variable stars III. Line-doubling frequency among Mira stars. A&A 379, 305–322 (2001)
Baranne, A., Mayor, M., Poncet, J.L.: CORAVEL – a new tool for radial velocity measurements. Vistas Astron. 23, 279–316 (1979)
Baranne, A., Queloz, D., Mayor, M., Adrianzyk, G., Knispel, G., Kohler, D., Lacroix, D., Meunier, J.P., Rimbaud, G., Vin, A.: ELODIE: a spectrograph for accurate radial velocity measurements. A&AS 119, 373–390 (1996)
Chadid, M., Gillet, D.: Observation of the metallic line doubling phenomenon in the variable star RR Lyrae. A&A 308, 481–488 (1996)
Fokin, A.B., Gillet, D.: The shock wave propagation effects in BL Herculis. II. Nonlinear model and theoretical profile of Hα. A&A 290, 875–884 (1994)
Fokin, A.B., Gillet, D.: Theoretical interpretation of the metallic line doubling phenomenon in the variable star RR Lyrae. A&A 325, 1013–1024 (1997)
Fox, M.W., Wood, P.R.: Shock waves in Mira variables. II – theoretical models. ApJ 297, 455–475 (1985)
Gillet, D., Burki, G., Chatel, A., Duquennoy, A., Lebre, A.: The shock wave propagation effects in BL Herculis. 1: the hydrogen alpha profile. A&A 286, 508–514 (1994)
Gillet, D., Lafon, J.P.J., David, P.: Radiative shocks in atomic and molecular stellar atmospheres. III – the shock wave velocity problem in Mira stars. A&A 220, 185–196 (1989)
Gillet, D., Maurice, E., Bouchet, P., Ferlet, R.: The shock-induced variability of emission profiles in S CAR. A&A 148, 155–164 (1985)
Gray, D.F.: Mass motions in the photosphere of Betelgeuse. AJ 135, 1450–1458 (2008)
Gustafsson, B., Edvardsson, B., Eriksson, K., Jørgensen, U.G., Nordlund, Å., Plez, B.: A grid of MARCS model atmospheres for late-type stars. I. Methods and general properties. A&A 486, 951–970 (2008)
Hinkle, K.H., Barnbaum, C.: Infrared velocities of long period variables: the carbon Mira S Cep. AJ 111, 913 (1996)
Hinkle, K.H., Lebzelter, T., Scharlach, W.W.G.: Infrared velocities of long period variables: CO Δ(υ) = 3 in four Miras and five SR variables. AJ 114, 2686 (1997)
Ireland, M.J., Scholz, M., Wood, P.R.: Dynamical opacity-sampling models of Mira variables – I. Modelling description and analysis of approximations. MNRAS 391, 1994–2002 (2008)
Jorissen, A., Alvarez, R., Plez, B., Gillet, D., Fokin, A.: Tomography of the atmosphere of long-period variable stars. In: Astro Tomography. Lecture Notes in Physics, vol. 573, pp. 301–306. Springer, Berlin (2001)
Jorissen, A., Alvarez, R., Plez, B., Gillet, D., Fokin, A.: Tomography of the atmosphere of long-period variable stars. In: Journées Mira 2002, Université de Montpellier II (published only as arXiv:astro-ph/0301361) (2003)
Josselin, E., Plez, B.: Atmospheric dynamics and the mass loss process in red supergiant stars. A&A 469, 671–680 (2007)
Karp, A.H.: Hydrodynamic models of a Cepheid atmosphere. III – line spectrum and radius determinations. ApJ 201, 641–652 (1975)
Kiss, L.L., Szabó, G.M., Bedding, T.R.: Variability in red supergiant stars: pulsations, long secondary periods and convection noise. MNRAS 372, 1721–1734 (2006)
Levesque, E.M., Massey, P., Olsen, K.A.G., Plez, B., Josselin, E., Maeder, A., Meynet, G.: The Effective temperature scale of galactic red supergiants: cool, but not as cool as we thought. ApJ 628, 973–985 (2005)
Magain, P.: Contribution functions and the depths of formation of spectral lines. A&A 163, 135–139 (1986)
Mathias, P., Gillet, D., Fokin, A.B., Cambon, T.: On the origin of shock waves in the beta Cephei star BW Vulpeculae. A&A 339, 525–530 (1998)
Merrill, P.W.: Red stars. PASP 67, 199 (1955)
Neri, R., Kahane, C., Lucas, R., Bujarrabal, V., Loup, C.: A (12) CO (J = 1–0) and (J = 2–1) atlas of circumstellar envelopes of AGB and post-AGB stars. A&AS 130, 1–64 (1998)
Raskin, G., van Winckel, H., Hensberge, H., Jorissen, A., Lehmann, H., Waelkens, C., Avila, G., de Cuyper, J.P., Degroote, P., Dubosson, R., Dumortier, L., Frémat, Y., Laux, U., Michaud, B., Morren, J., Perez Padilla, J., Pessemier, W., Prins, S., Smolders, K., van Eck, S., Winkler, J.: HERMES: a high-resolution fibre-fed spectrograph for the Mercator telescope. A&A 526, A69 (2011)
Schwarzschild, M.: Transactions of the IAU, vol. VIII, pp. 811–812. Cambridge University Press, Cambridge (1952)
Acknowledgements
The authors thank B. Plez, A. Chiavassa, and H. Van Winckel for useful discussions. SvE is FNRS research associate. Based on observations obtained with the Mercator Telescope and the HERMES spectrograph, supported by the Fund for Scientific Research of Flanders (FWO), the Research Council of K.U.Leuven, the Fonds National de la Recherche Scientifique (F.R.S.-FNRS), Belgium, the Royal Observatory of Belgium, the Observatoire de Genève, Switzerland and the Thüringer Landessternwarte Tautenburg, Germany.
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Jorissen, A., Van Eck, S., Kravchenko, K. (2016). Velocity Fields in Stellar Atmospheres Probed by Tomography. In: Boffin, H., Hussain, G., Berger, JP., Schmidtobreick, L. (eds) Astronomy at High Angular Resolution. Astrophysics and Space Science Library, vol 439. Springer, Cham. https://doi.org/10.1007/978-3-319-39739-9_8
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