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Classical Models of Cepheid Stars

Published online by Cambridge University Press:  15 February 2018

C. Chiosi*
Affiliation:
Department of Astronomy, University of Padova, Padova, Italy

Abstract

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In this paper we summarize recent work on Cepheid stars by Chiosi et al (1992a), who calculated large grids of models at varying mass, effective temperature, mass-luminosity (ML) relation or equivalently underlying evolutionary scheme for intermediate mass stars, i.e. classical models, models with mild core overshoot, and models with large core overshoot, and finally initial chemical composition. The chemical parameters bracket the abundances of the Cepheid stars in the Milky Way and Magellanic Clouds. First, we present the theoretical results limited to the analytical fits of the fundamental period-mass-radius (PMR) relation and the blue and red edges of the instability strip for the fundamental mode and first overtone. Second, we discuss the data converted to magnitudes and colours of the BVRcIc passbands with particular attention to the period-luminosity-colour (PLC) and period-luminosity (PL) relations. Finally, we briefly summarize three studies based on these models, which aimed to explain the shape and width of the observed instability strip (Chiosi et al 1992b), and the main reason for the mass discrepancy of the Cepheid stars (Chiosi et al 1992c) by means of the mass equivalency (ME) method applied to clusters of the Large Magellanic Cloud (LMC). Because the ME method turned out to be sensitive to the distance modulus, the dependence of this on the metallicity has been the subject of the last study by Bertelli et al(1992).

Type
Theoretical Breakthroughs
Copyright
Copyright © Cambridge University Press 1993

References

Alongi, M., Bertelli, G., Bressan, A., Chiosi, C., Fagotto, F., Greggio, L., Nasi, E., 1992, Astron. Astrophys. Suppl. in press.Google Scholar
Alexander, D. R., 1975, Astrophys. J. Suppl. 29, 363.Google Scholar
Alexander, D. R., Johnson, H. R., Rympa, R. C., 1983, Astrophys. J. 273, 773.Google Scholar
Becker, S. A., 1985, in Cepheids: Theory and Observations, ed. Madore, B. F., Cambridge University Press, p. 104.Google Scholar
Becker, S. A., Iben, I. Jr., Tuggle, R. S., 1977, Astrophys. J. 218, 633.Google Scholar
Bertelli, G., Bressan, A., Chiosi, C., 1985, Astron. Astrophys. 150, 33.Google Scholar
Bertelli, G., Bressan, A., Chiosi, C., Mateo, M., Wood, P. R., 1992, Astrophys. J. submitted.Google Scholar
Bessell, M.S., 1979, Pub. Astron. Soc. Pacific 91, 589.CrossRefGoogle Scholar
Bessell, M.S., Brett, J. M., Scholz, M., Wood, P. R., 1989, Astrophys. J. Suppl. 77, 1.Google Scholar
Buser, R., 1989, private communication.Google Scholar
Caldwell, J. A. R., Coulson, I.M., 1986, Mont. Noc.Roy. Astr. Soc. 218, 223.Google Scholar
Caldwell, J.A.R., Laney, CD., 1991, in The Magellanic Clouds, ed. Haynes, R. and Milne, D., Kluwer, Dordrecht, p. 249.CrossRefGoogle Scholar
Capitanio, N., Chiosi, C., Wood, P.R., 1992, in preparation.Google Scholar
Castellani, V., Chieffi, A., Straniero, O., 1990, Astrophys. J. Suppl. 74, 463.Google Scholar
Chiosi, C., 1989, in The Use of Pulsating Stars in Fundamental Problems of Astronomy, ed. Schmidt, E. G., Cambridge University Press, p.19.Google Scholar
Chiosi, C., 1990, in Confrontation between Stellar Pulsation and Evolution, ed. Cacciari, C. and Clementini, G., Astr. Soc. of Pacific Conf. Series 11, p. 158.Google Scholar
Chiosi, C., Wood, P. R., Capitanio, N., 1992a, Astrophys. J. Suppl. in press.Google Scholar
Chiosi, C., Wood, P. R., Bertelli, G., Bressan, A., 1992b, Astrophys. J. 387, 320.Google Scholar
Chiosi, C., Wood, P. R., Bertelli, G., Bressan, A., Mateo, M. 1992c, Astrophys. J. 385, 205.Google Scholar
Cox, A.N., 1980, Ann. Rev. Astron. Astrophys. 18, 15.Google Scholar
Cox, A. N., 1985, in Cepheids: Theory and Observations, ed. Madore, B. F., Cambridge University Press, p. 126.Google Scholar
Feast, M.W., Walker, A.R., 1987, Ann. Rev. Astron. Astrophys. 25, 345.Google Scholar
Fernie, J.D., 1990, Astrophys. J. 354, 295.CrossRefGoogle Scholar
Flower, P.J., 1977, Astron. Astrophys. 54, 31.Google Scholar
Fox, M.W., Wood, P. R., 1982, Astrophys. J. 259, 198.CrossRefGoogle Scholar
Green, E.M., Bessel, M.S., Demarque, P., King, C.R., Peters, W.L. 1987, in The Revised Yale Isochrones and Luminosity Functions. Yale University, Observatory, New Haven.Google Scholar
Huebner, W.F., Mertz, A.L., Magee, N.H. Jr, Argo, M.F., 1977, Astrophysical Opacity Library, UC-34b.Google Scholar
Iben, I. Jr., 1974, Ann. Rev. Astron. Astrophys. 12, 215.CrossRefGoogle Scholar
Iben, I. Jr., Tuggle, R.S., 1972a, Astrophys. J. 173, 135.CrossRefGoogle Scholar
Iben, I. Jr., Tuggle, R.S., 1972b, Astrophys. J. 178, 441.Google Scholar
Iben, I. Jr., Tuggle, R.S., 1975, Astrophys. J. 197, 39.Google Scholar
Iglesias, C., Rogers, F.J., 1991a, Astrophys. J. 371, 408.CrossRefGoogle Scholar
Iglesias, C., Rogers, F.J., 1991a, Astrophys. J. 371, L73.Google Scholar
Lattanzio, J.C., 1991, Astrophys. J. Suppl. 76, 215.CrossRefGoogle Scholar
Madore, B. F., Freedman, W. L., 1991, Publ. Astron. Soc. Pacific 103, 933.CrossRefGoogle Scholar
Maeder, A., Meynet, G., 1989, Astron. Astrophys. Suppl. 210, 155.Google Scholar
Mateo, M., Olszewski, E., Madore, B.F., 1990a, Astrophys. J. 107, 203.Google Scholar
Mateo, M., Olszewski, E.W., Madore, B.F. 1990b, in “Confrontation between Stellar Pulsation and Evolution”, ed. Cacciari, C. and Clementini, G., Astr. Soc. of Pacific Conf. Series 11, p. 241.Google Scholar
Matraka, B., Wassermann, C., Weigert, A., 1982, Astron. Astrophys. bf 107, 283.Google Scholar
McWilliam, A., 1990, Astrophys. J. Suppl. 74, 1075.Google Scholar
Panagia, N., Gilmozzi, R., Macchetto, F., Adorf, H. M., Kirshner, R. P., 1991, Astrophys. J. 380, L23.Google Scholar
Pel, J. W., 1985, in Cepheids: Theory and Observations, ed. Madore, B. F., Cambridge University Press, p. 1.Google Scholar
Rogers, F.J., Iglesias, C., 1992, Astrophys. J. Suppl. in press.Google Scholar
Russell, S.C., Bessell, M.S., 1989, Astrophys. J. Suppl. 70, 865.Google Scholar
Schmidt, E. G., 1984, Astrophys. J. 285, 501.CrossRefGoogle Scholar
Stift, M.J., 1990, Astron. Astrophys. 229, 143.Google Scholar
Stothers, R.B., 1988, Astrophys. J. 329, 712.Google Scholar
van den Bergh, S., 1989, Astron. Astrophys. Rev 1, 111.CrossRefGoogle Scholar
Welch, D. L., Mateo, M., Cote', P., Fisher, P., Madore, B., 1991, Astron. J. 101, 490.Google Scholar
Wilson, T.D., Barnes, T.G., Hawley, S.L., Jefferys, W.H., 1991, Astrophys. J. 378, 708.Google Scholar