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Theory of Cepheid Pulsation: Excitation Mechanisms

Published online by Cambridge University Press:  12 April 2016

John P. Cox
John P. Cox*
Affiliation:
Joint Institute for Laboratory Astrophysics, University of Colorado and National Bureau of Standards, Boulder, CO 80309

Abstract

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The various excitation mechanisms (eight in all) that have been proposed to account for the vibrational instability of variable stars, are surveyed. The most widely applied one is perhaps the “envelope ionization mechanism.” This can account for most of the essential characteristics of the “instability strip.” A simple explanation of the period-luminosity relation of classical Cepheids is given. A few outstanding problems in pulsation theory are also listed.

Type
Part II. Evolution and Pulsation Theory
Information
International Astronomical Union Colloquium , Volume 82: Cepheids: Theory and Observations , 1985 , pp. 126 - 146
Copyright
Copyright © Cambridge University Press 1985

References

Aikawa, T. & Whitney, C. A. (1984). Astrophys. J., in press.Google Scholar
Aizenman, M. L., Cox, J. P. & Lesh, J. R. (1975). Astrophys. J., 197, 399.Google Scholar
Alfvén, H. & Fälthammer, C. G. (1963). Cosmical Electrodynamics. Oxford: Clarendon Press.Google Scholar
Ando, H. (1981). M.N.R.A.S., 197, 1139.10.1093/mnras/197.4.1139CrossRefGoogle Scholar
Ando, H. & Osaki, Y. (1975). Publ. Astron. Soc. Japan, 27, 581.Google Scholar
Baker, N. (1966). In Stellar Evolution, eds. Stein, R. F. & Cameron, A. G. W. p. 333. New York: Plenum Press.Google Scholar
Baker, N. & Gough, D. O. (1979). Astrophys. J., 234, 232.10.1086/157492CrossRefGoogle Scholar
Baker, N. & Kippenhahn, R. (1962). Z. Astrophys., 54, 114.Google Scholar
Baker, N. & Kippenhahn, R. (1965). Astrophys. J., 142, 868.10.1086/148359CrossRefGoogle Scholar
Buchler, R. (1984). Private communication.Google Scholar
Castor, J. I. (1968). Unpublished manuscript.Google Scholar
Castor, J. I. (1971). Astrophys. J., 166, 109.10.1086/150945CrossRefGoogle Scholar
Chandrasekhar, S. (1952). Phil. Mag., Ser. 7, 43, 501.10.1080/14786440508520205CrossRefGoogle Scholar
Chiosi, C. (1974). Astron. Astrophys., 37, 281.Google Scholar
Christy, R. F. (1966). Astrophys. J., 144, 108.10.1086/148593CrossRefGoogle Scholar
Christy, R. F. (1967). In Aerodynamic Phenomena in Stellar Atmospheres, ed. Thomas, R. N. p. 105. New York: Academic.Google Scholar
Cox, A. N. (1982). In Pulsations in Classical and Cataclysmic Variable Stars, eds. Cox, J. P. & Hansen, C. J. p. 157. Boulder: JILA.Google Scholar
Cox, A. N. & Wallerstein, G. (1984). Preprint.Google Scholar
Cox, J. P. (1963). Astrophys. J., 138, 487.10.1086/147661CrossRefGoogle Scholar
Cox, J. P. (1967). In Aerodynamic Phenomena in Stellar Atmospheres, ed. Thomas, R. N. p. 3. New York: Academic Press.Google Scholar
Cox, J. P. (1976). Ann. Rev. Astron. Astrophys., 14, 247.10.1146/annurev.aa.14.090176.001335CrossRefGoogle Scholar
Cox, J. P. (1976). In Proc. Solar and Stellar Pulsation Conf., eds. Cox, A. N. and Deupree, R. G. p. 127. Los Alamos: LANL.Google Scholar
Cox, J. P. (1980). Theory of Stellar Pulsation. Princeton: Princeton Univ. Press.10.1515/9781400885855CrossRefGoogle Scholar
Cox, J. P. (1984). Astrophys. J., in press.Google Scholar
Cox, J. P., Cox, A. N., Olsen, J. P., King, D. S. & Eilers, D. D. (1966). Astrophys. J., 144, 1038.10.1086/148702CrossRefGoogle Scholar
Cox, J. P. & Stellingwerf, R. F. (1979). Pub. A.S.P., 91, 319.10.1086/130491CrossRefGoogle Scholar
Deupree, R. G. (1977a). Astrophys. J., 211, 509.10.1086/154958CrossRefGoogle Scholar
Deupree, R. G. (1977b). Astrophys. J., 214, 502.10.1086/155276CrossRefGoogle Scholar
Deupree, R. G. (1977c). Astrophys. J., 215, 232.10.1086/155352CrossRefGoogle Scholar
Deupree, R. G. (1977d). Astrophys. J., 215, 620.10.1086/155396CrossRefGoogle Scholar
Deupree, R. G. (1980). Astrophys. J., 236, 225.10.1086/157737CrossRefGoogle Scholar
Durney, B. (1984). Preprint.Google Scholar
Dziembowski, W. (1971). Acta Astron., 21, 289.Google Scholar
Eddington, A. S. (1941). M.N.R.A.S., 101, 182.10.1093/mnras/101.4.182CrossRefGoogle Scholar
Eddington, A. S. (1942). M.N.R.A.S., 102, 154.10.1093/mnras/102.3.154CrossRefGoogle Scholar
Epstein, I. (1950). Astrophys. J., 112, 6.10.1086/145316CrossRefGoogle Scholar
Gonczi, G. (1981). Astron. Astrophys., 96, 138.Google Scholar
Gonczi, G. (1982). In Pulsations in Classical and Cataclysmic Variable Stars, eds. Cox, J. P. & Hansen, C. J. p. 206. Boulder: JILA.Google Scholar
Gonczi, G. & Osaki, Y. (1980). Astron. Astrophys., 84, 304.Google Scholar
Hertzsprung, E. (1926). B.A.N., 3, 115.Google Scholar
Hodson, S. W., Cox, A. N. & King, D. S. (1982). Astrophys. J., 253, 260.10.1086/159631CrossRefGoogle Scholar
Huebner, W. & Magee, N. (1984). Preprint.Google Scholar
Kato, S. (1966). Publ. Astron. Soc. Japan, 18, 374.Google Scholar
Kato, S. (1974). Publ. Astron. Soc. Japan, 26, 341.Google Scholar
Kato, S. (1976). In Multiple Periodic Variable Stars, ed. Fitch, W. S. p. 3. Dordrecht: Reidel.Google Scholar
King, D. S. & Cox, J. P. (1968). Publ. A.S.P., 80, 365.10.1086/128650CrossRefGoogle Scholar
King, D. S., Cox, A. N. & Hodson, S. W. (1981). Astrophys. J., 244, 242.10.1086/158701CrossRefGoogle Scholar
Kippenhahn, R. (1983). Preprint.Google Scholar
Kurtz, D. W. (1982). M.N.R.A.S., 200, 807.10.1093/mnras/200.3.807CrossRefGoogle Scholar
Ledoux, P. (1974). in Stellar Instability and Evolution, eds. Ledoux, P. Noels, A. & Rodgers, A. W. p. 135. Dordrecht: Reidel.10.1007/978-94-010-9794-9_29CrossRefGoogle Scholar
Ledoux, P. & Walraven, Th. (1958). Handbuch der Physik, ed. Flügge, S. 51, p. 353. Berlin: Springer-Verlag.Google Scholar
Lee, U. & Osakl, Y. (1982). Publ. Astron. Soc. Japan, 34, 39.Google Scholar
Moore, D. W. & Spiegel, E. A. (1966). Astrophys. J., 143, 871.10.1086/148562CrossRefGoogle Scholar
Osaki, Y. (1974). Astrophys. J., 189, 469.10.1086/152825CrossRefGoogle Scholar
Osaki, Y. (1976). Publ. Astron. Soc. Japan, 28, 105.Google Scholar
Osaki, Y. (1982). In Pulsations in Classical and Cataclysmic Variable Stars, eds. Cox, J. P. & Hansen, C. J. p. 303. Boulder: JILA.Google Scholar
Papaloizou, J. & Pringle, J. E. (1978). M.N.R.A.S., 182, 423.10.1093/mnras/182.3.423CrossRefGoogle Scholar
Percy, J. R. (1970). Astrophys. J., 159, 177.10.1086/150300CrossRefGoogle Scholar
Pesnell, W. D. (1983). Ph.D. Dissertation, University of Florida.Google Scholar
Pesnell, W. D. (1984a). Preprint.Google Scholar
Pesnell, W. D. (1984b). Astrophys. J., in press.Google Scholar
Petersen, J. O. (1981). Astron. Astrophys., 96, 146.Google Scholar
Petersen, J. O. (1984). Preprint.10.1215/01636545-1984-28-30-347CrossRefGoogle Scholar
Saio, H. (1980). Astrophys. J., 240, 685.10.1086/158275CrossRefGoogle Scholar
Saio, H. & Cox, J. P. (1980). Astrophys. J., 236, 549.10.1086/157773CrossRefGoogle Scholar
Shibahashi, H. (1983). Astrophys. J. (Lett.), 275, L5.10.1086/184160CrossRefGoogle Scholar
Shibahashi, H. & Osaki, Y. (1976). Publ. Astron. Soc. Japan, 28, 199.Google Scholar
Simon, N. R. (1982a). In Pulsations in Classical and Cataclysmic Variable Stars, eds. Cox, J. P. & Hansen, C. J. p. 221. Boulder: JILA.Google Scholar
Simon, N. R. (1982b). Astrophys. J. (Lett.), 260, L87.10.1086/183876CrossRefGoogle Scholar
Simon, N. R. & Schmidt, E. G. (1976). Astrophys. J., 205, 162.10.1086/154259CrossRefGoogle Scholar
Smeyers, P. (1966). Acad. Roy. des Sci., des Lett. et des Beaux.-Arts d. Belgique, 5e Ser., 52, 1126.Google Scholar
Smith, M. A. (1978). Astrophys. J., 224, 927.10.1086/156442CrossRefGoogle Scholar
Smith, M. A. (1980a). In Nonlinear and Nonradial Oscillations of the Sun and Stars, eds. Hill, H. A. & Dziembowski, W. p. 60. New York: Springer-Verlag.Google Scholar
Smith, M. A. (1980b). In Highlights of Astronomy, ed. Warman, P. A. 5, p. 457. Dordrecht: Reidel.10.1007/978-94-015-6912-5_52CrossRefGoogle Scholar
Smith, M. A. & Buta, R. J. (1979). Astrophys. J. (Lett.), 232, L193.10.1086/157316CrossRefGoogle Scholar
Smith, M. A. & McCall, M. L. (1978). Astrophys. J., 223, 221.10.1086/156253CrossRefGoogle Scholar
Spiegel, E. A. (1970). Comments on Astrophys. and Space Sci., 1, 57.Google Scholar
Starrfield, S. G., Cox, A. N. & Hodson, S. W. (1981). Space Sci. Rev., 27, 621.Google Scholar
Starrfield, S. G., Cox, A. N. & Hodson, S. W. (1983). Astrophys. J. (Lett.), 268, L227.10.1086/184023CrossRefGoogle Scholar
Starrfield, S. G., Cox, A. N., Kidman, R. B. & Pesnell, W. D. (1984). Astrophys. J., in press.Google Scholar
Stellingwerf, R. F. (1978). Astron. J., 831, 1184.10.1086/112308CrossRefGoogle Scholar
Stellingwerf, R. F. (1979). Astrophys. J., 227, 935.10.1086/156802CrossRefGoogle Scholar
Stellingwerf, R. F. (1982a). Astrophys. J., 262, 330.10.1086/160425CrossRefGoogle Scholar
Stellingwerf, R. F. (1982b). Astrophys. J., 262, 339.10.1086/160426CrossRefGoogle Scholar
Stellingwerf, R. F. (1984a). Astrophys. J., 277, 322.10.1086/161698CrossRefGoogle Scholar
Stellingwerf, R. F. (1984b). Astrophys. J., 277, 327.10.1086/161699CrossRefGoogle Scholar
Stellingwerf, R. F. (1984c). Preprint.Google Scholar
Toomre, J. (1982). In Pulsations in Classical and Cataclysmic Variable Stars, eds. Cox, J. P. & Hansen, C. J. p. 170. Boulder: JILA.Google Scholar
Toomre, J., Hurlburt, N. E. & Massaguer, J. M. (1984). Preprint (to appear in Proc. Small-Scale Dynamical Processes in Quiet Stellar Atmospheres, ed. Keil, S. National Solar Observatory.Google Scholar
Unno, W., Osaki, Y., Ando, H. & Shibahashi, H. (1979). Nonradial Oscillations of Stars1. Tokyo: Tokyo Univ. Press.Google Scholar
Whitney, C. A. (1982). In Pulsations in Classical and Cataclysmic Variable Stars, eds. Cox, J. P. & Hansen, C. J., p. 226. Boulder: JILA.Google Scholar
Winget, D. E. (1981). Ph.D. dissertation, Univ. of Rochester.Google Scholar
Winget, D. E. (1984). Private communication.Google Scholar
Winget, D. E. & Fontaine, G. (1982). In Pulsations in Classical and Cataclysmic Variable Stars, eds. Cox, J. P. & Hansen, C. J. p. 46. Boulder: JILA.Google Scholar
Winget, D. E., Hansen, C. J. & Van Horn, H. M. (1983). Nature, 303, 781.10.1038/303781a0CrossRefGoogle Scholar
Winget, D. E., Robinson, E. L., Nather, R. E. & Balachandran, S. (1984). Astrophys. J. (Lett.), 279, L15.10.1086/184245CrossRefGoogle Scholar
Winget, D. E., Robinson, E. L., Nather, R. E. & Fontaine, G. (1982b). Astrophys. J. (Lett.), 262, Lll.10.1086/183902CrossRefGoogle Scholar
Winget, D. E., Van Horn, H. M., Tassoul, M., Hansen, C. J. & Fontaine, G. (1983). Astrophys. J. (Lett.), 268, L33.10.1086/184024CrossRefGoogle Scholar
Winget, D. E., Van Horn, H. M., Tassoul, M., Hansen, C. J., Fontaine, G. & Carroll, B. W. (1982a). Astrophys. J. (Lett.), 252, L65.10.1086/183721CrossRefGoogle Scholar
Zhevakin, S. A. (1953), Russian A.J., 30, 161.Google Scholar