Abstract
In rapidly rotating stars, Coriolis forces and centrifugal deformations modify the properties of oscillations; the Coriolis force is important for low-frequency modes, while the centrifugal deformation affects mainly p-modes. Here, we discuss properties of g- and r-mode oscillations in rotating stars. Predicted frequency spectra of high-order g-modes (and r-modes) excited in rapidly rotating stars show frequency groupings associated with azimuthal order m. We compare such properties with observations in rapidly rotating Be stars and discuss what is learnt from such comparisons.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Aerts, C., Marchenko, S.V., Matthews, J.M., Kuschnig, R., Guenther, D.B., Moffat, A.F.J., Rucinski, S.M., Sasselov, D., Walker, G.A.H., Weiss, W.W.: δ Ceti is not monoperiodic: seismic modeling of a β Cephei star from MOST space-based photometry. Astrophys. J. 642, 470–477 (2006)
Aerts, C., Christensen-Dalsgaard, J., Kurtz, D.W.: Asteroseismology. Springer, Berlin (2010)
Aprilia, Lee, U., Saio, H.: Stability of g modes in rotating B-type stars. Mon. Not. R. Astron. Soc. 412, 2265–2276 (2011)
Ausseloos, M., Scuflaire, R., Thoul, A., Aerts, C.: Asteroseismology of the β Cephei star ν Eridani: massive exploration of standard and non-standard stellar models to fit the oscillation data. Mon. Not. R. Astron. Soc. 355, 352–358 (2004)
Badnell, N.R., Bautista, M.A., Butler, K., Delahaye, F., Mendoza, C., Palmeri, P., Zeippen, C.J., Seaton, M.J.: Updated opacities from the opacity project. Mon. Not. R. Astron. Soc. 360, 458–464 (2005)
Ballot, J., Lignières, F., Prat, V., Reese, D.R., Rieutord, M.: 2D computations of g modes. arXiv:1109.6856 [astro-ph]
Balona, L.A.: Tests of the pulsation and starspot models for the periodic Be-stars. Mon. Not. R. Astron. Soc. 277, 1547 (1995)
Balona, L.A., Pigulski, A., Cat, P.D., Handler, G., Gutiérrez-Soto, J., Engelbrecht, C.A., Frescura, F., Briquet, M., Cuypers, J., Daszyńska-Daszkiewicz, J., Degroote, P., Dukes, R.J., Garcia, R.A., Green, E.M., Heber, U., Kawaler, S.D., Lehmann, H., Leroy, B., Molenda-Żaaowicz, J., Neiner, C., Noels, A., Nuspl, J., Østensen, R., Pricopi, D., Roxburgh, I., Salmon, S., Smith, M.A., Suárez, J.C., Suran, M., Szabó, R., Uytterhoeven, K., Christensen-Dalsgaard, J., Kjeldsen, H., Caldwell, D.A., Girouard, F.R., Sanderfer, D.T.: Kepler observations of the variability in B-type stars. Mon. Not. R. Astron. Soc. 413, 2403–2420 (2011)
Briquet, M., Morel, T., Thoul, A., Scuflaire, R., Miglio, A., Montalbán, J., Dupret, M.A., Aerts, C.: An asteroseismic study of the β Cephei star θ Ophiuchi: constraints on global stellar parameters and core overshooting. Mon. Not. R. Astron. Soc. 381, 1482–1488 (2007)
Cameron, C., Saio, H., Kuschnig, R., Walker, G.A.H., Matthews, J.M., Guenther, D.B., Moffat, A.F.J., Rucinski, S.M., Sasselov, D., Weiss, W.W.: MOST detects SPBe pulsations in HD 127756 and HD 217543: asteroseismic rotation rates independent of vsini. Astrophys. J. 685, 489–507 (2008)
Cox, J.P.: Theory of Stellar Pulsation. Princeton University Press, Princeton (1980)
Cranmer, S.R.: A statistical study of threshold rotation rates for the formation of disks around Be stars. Astrophys. J. 634, 585–601 (2005)
Daszyńska-Daszkiewicz, J., Walczak, P.: Complex asteroseismology of the B-type main sequence pulsators. Highlights Astron. 15, 364–365 (2010)
De Cat, P.: Observational asteroseismology of slowly pulsating B stars. Commun. Asteroseismol. 150, 167 (2007)
De Cat, P., Aerts, C.: A study of bright southern slowly pulsating B stars. II. The intrinsic frequencies. Astron. Astrophys. 393, 965–981 (2002)
Desmet, M., Briquet, M., Thoul, A., Zima, W., De Cat, P., Handler, G., Ilyin, I., Kambe, E., Krzesinski, J., Lehmann, H., Masuda, S., Mathias, P., Mkrtichian, D.E., Telting, J., Uytterhoeven, K., Yang, S.L.S., Aerts, C.: An asteroseismic study of the β Cephei star 12 Lacertae: multisite spectroscopic observations, mode identification and seismic modelling. Mon. Not. R. Astron. Soc. 396, 1460–1472 (2009)
Diago, P.D., Gutiérrez-Soto, J., Auvergne, M., Fabregat, J., Hubert, A.M., Floquet, M., Frémat, Y., Garrido, R., Andrade, L., de Batz, B., Emilio, M., Espinosa Lara, F., Huat, A.L., Janot-Pacheco, E., Leroy, B., Martayan, C., Neiner, C., Semaan, T., Suso, J., Catala, C., Poretti, E., Rainer, M., Uytterhoeven, K., Michel, E., Samadi, R.: Pulsations in the late-type Be star HD 50 209 detected by CoRoT. Astron. Astrophys. 506, 125–131 (2009)
Dupret, M.A., Thoul, A., Scuflaire, R., Daszyńska-Daszkiewicz, J., Aerts, C., Bourge, P.O., Waelkens, C., Noels, A.: Asteroseismology of the β Cep star HD 129929. II. Seismic constraints on core overshooting, internal rotation and stellar parameters. Astron. Astrophys. 415, 251–257 (2004)
Dziembowski, W.A.: Nonradial oscillations of evolved stars. I. Quasiadiabatic approximation. Acta Astron. 21, 289–306 (1971)
Dziembowski, W.A., Pamyatnykh, A.A.: The two hybrid B-type pulsators: ν Eridani and 12 Lacertae. Mon. Not. R. Astron. Soc. 385, 2061–2068 (2008)
Dziembowski, W.A., Moskalik, P., Pamyatnykh, A.A.: The opacity mechanism in B-type stars—II. Excitation of high-order G-modes in main sequence stars. Mon. Not. R. Astron. Soc. 265, 588 (1993)
Frémat, Y., Neiner, C., Hubert, A.M., Floquet, M., Zorec, J., Janot-Pacheco, E., Renan de Medeiros, J.: Fundamental parameters of Be stars located in the seismology fields of COROT. Astron. Astrophys. 451, 1053–1063 (2006)
Gautschy, A., Saio, H.: On non-radial oscillations of B-type stars. Mon. Not. R. Astron. Soc. 262, 213–219 (1993)
Goupil, M.J.: Effects of rotation on stellar p-mode frequencies. In: The Rotation of Sun and Stars. Lecture Notes in Physics, vol. 765, pp. 45–99. Springer, Berlin (2009)
Gutiérrez-Soto, J., Floquet, M., Samadi, R., Neiner, C., Garrido, R., Fabregat, J., Frémat, Y., Diago, P.D., Huat, A.L., Leroy, B., Emilio, M., Hubert, A.M., Andrade, O.T.L., de Batz, B., Janot-Pacheco, E., Espinosa Lara, F., Martayan, C., Semaan, T., Suso, J., Auvergne, M., Chaintreuil, S., Michel, E., Catala, C.: Low-amplitude variations detected by CoRoT in the B8IIIe star HD 175869. Astron. Astrophys. 506, 133–141 (2009)
Huat, A.L., Hubert, A.M., Baudin, F., Floquet, M., Neiner, C., Frémat, Y., Gutiérrez-Soto, J., Andrade, L., de Batz, B., Diago, P.D., Emilio, M., Espinosa Lara, F., Fabregat, J., Janot-Pacheco, E., Leroy, B., Martayan, C., Semaan, T., Suso, J., Auvergne, M., Catala, C., Michel, E., Samadi, R.: The B0.5IVe CoRoT target HD 49330. I. Photometric analysis from CoRoT data. Astron. Astrophys. 506, 95–101 (2009)
Iglesias, C.A., Rogers, F.J.: Updated OPAL opacities. Astrophys. J. 464, 943 (1996)
Kiriakidis, M., El Eid, M.F., Glatzel, W.: Heavy element opacities and the pulsations of Beta Cepheid stars. Mon. Not. R. Astron. Soc. 255, 1P–5P (1992)
Lee, U.: Pulsational stability of g-modes in slowly pulsating B stars. Astrophys. J. 557, 311–319 (2001)
Lee, U.: r modes of slowly pulsating B stars. Mon. Not. R. Astron. Soc. 365, 677–687 (2006)
Lee, U.: Pulsation in rapidly rotating stars. Commun. Asteroseismol. 157, 203–208 (2008)
Lee, U., Baraffe, I.: Pulsational stability of rotating main sequence stars: the second order effects of rotation on the nonadiabatic oscillations. Astron. Astrophys. 301, 419 (1995)
Lee, U., Saio, H.: Low-frequency nonradial oscillations in rotating stars. I. Angular dependence. Astrophys. J. 491, 839 (1997)
Lovekin, C.C., Goupil, M.J.: Rotation and convective core overshoot in θ Ophiuchi. Astron. Astrophys. 515, A58 (2010)
Mazumdar, A., Briquet, M., Desmet, M., Aerts, C.: An asteroseismic study of the β Cephei star β Canis Majoris. Astron. Astrophys. 459, 589–596 (2006)
Moskalik, P., Dziembowski, W.A.: New opacities and the origin of the Beta Cephei pulsation. Astron. Astrophys. 256, L5–L8 (1992)
Neiner, C., Gutiérrez-Soto, J., Baudin, F., de Batz, B., Frémat, Y., Huat, A.L., Floquet, M., Hubert, A.M., Leroy, B., Diago, P.D., Poretti, E., Carrier, F., Rainer, M., Catala, C., Thizy, O., Buil, C., Ribeiro, J., Andrade, L., Emilio, M., Espinosa Lara, F., Fabregat, J., Janot-Pacheco, E., Martayan, C., Semaan, T., Suso, J., Baglin, A., Michel, E., Samadi, R.: The pulsations of the B5IVe star HD 181231 observed with CoRoT and ground-based spectroscopy. Astron. Astrophys. 506, 143–151 (2009)
Neiner, C., Mathis, S., Saio, H., Lovekin, C., Eggenberger, P., Lee, U.: Seismic modelling of the late Be stars HD 181231 and HD 175869 observed with CoRoT: a laboratory for mixing processes. Astron. Astrophys. 539, A90 (2012)
Niemczura, E.: The main parameters of SPB stars on the basis of IUE spectra. In: Aerts, C., Bedding, T.R., Christensen-Dalsgaard, J. (eds.) IAU Colloq. 185: Radial and Nonradial Pulsations as Probes of Stellar Physics. Astronomical Society of the Pacific Conference Series, vol. 259, p. 230 (2002)
Pedlosky, J.: Geophysical Fluid Dynamics. Springer, Berlin (1982)
Provost, J., Berthomieu, G., Rocca, A.: Low frequency oscillations of a slowly rotating star—quasi toroidal modes. Astron. Astrophys. 94, 126 (1981)
Reese, D.R., MacGregor, K.B., Jackson, S., Skumanich, A., Metcalfe, T.S.: Pulsation modes in rapidly rotating stellar models based on the self-consistent field method. Astron. Astrophys. 506, 189–201 (2009)
Rivinius, T., Baade, D., Štefl, S.: Non-radially pulsating Be stars. Astron. Astrophys. 411, 229–247 (2003)
Saio, H.: R-mode oscillations in uniformly rotating stars. Astrophys. J. 256, 717–735 (1982)
Saio, H., Cameron, C., Kuschnig, R., Walker, G.A.H., Matthews, J.M., Rowe, J.F., Lee, U., Huber, D., Weiss, W.W., Guenther, D.B., Moffat, A.F.J., Rucinski, S.M., Sasselov, D.: MOST detects g-modes in the late-type Be star β Canis Minoris (B8 Ve). Astrophys. J. 654, 544–550 (2007)
Savonije, G.J.: Unstable quasi g-modes in rotating main-sequence stars. Astron. Astrophys. 443, 557–570 (2005)
Suárez, J.C., Moya, A., Amado, P.J., MartÃn-Ruiz, S., RodrÃguez-López, C., Garrido, R.: Seismology of β Cephei stars: Differentially rotating models for interpreting the oscillation spectrum of ν Eridani. Astrophys. J. 690, 1401–1411 (2009)
Townsend, R.H.D.: Kappa-mechanism excitation of retrograde mixed modes in rotating B-type stars. Mon. Not. R. Astron. Soc. 364, 573–582 (2005)
Townsend, R.H.D., Owocki, S.P., Howarth, I.D.: Be-star rotation: how close to critical? Mon. Not. R. Astron. Soc. 350, 189–195 (2004)
Unno, W., Osaki, Y., Ando, H., Saio, H., Shibahashi, H.: Nonradial Oscillations of Stars. University of Tokyo Press, Tokyo (1989)
Walker, G.A.H., Kuschnig, R., Matthews, J.M., Cameron, C., Saio, H., Lee, U., Kambe, E., Masuda, S., Guenther, D.B., Moffat, A.F.J., Rucinski, S.M., Sasselov, D., Weiss, W.W.: MOST detects g-modes in the Be star HD 163868. Astrophys. J. Lett. 635, L77–L80 (2005)
Walker, G.A.H., Kuschnig, R., Matthews, J.M., Reegen, P., Kallinger, T., Kambe, E., Saio, H., Harmanec, P., Guenther, D.B., Moffat, A.F.J., Rucinski, S.M., Sasselov, D., Weiss, W.W., Bohlender, D.A., Božić, H., Hashimoto, O., Koubský, P., Mann, R., Ruždjak, D., Škoda, P., Šlechta, M., Sudar, D., Wolf, M., Yang, S.: Pulsations of the Oe star ζ Ophiuchi from MOST satellite photometry and ground-based spectroscopy. Astrophys. J. Lett. 623, L145–L148 (2005)
Zorec, J., Frémat, Y., Cidale, L.: On the evolutionary status of Be stars. I. Field Be stars near the Sun. Astron. Astrophys. 441, 235–248 (2005)
Acknowledgement
I am grateful to Alfred Gautschy and Umin Lee for helpful comments.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Saio, H. (2013). Prospects for Asteroseismology of Rapidly Rotating B-Type Stars. In: Goupil, M., Belkacem, K., Neiner, C., Lignières, F., Green, J. (eds) Studying Stellar Rotation and Convection. Lecture Notes in Physics, vol 865. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33380-4_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-33380-4_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33379-8
Online ISBN: 978-3-642-33380-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)