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Semi-regular and alternating pulsations in hydrodynamical models for low-mass giants

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On the basis of hydrodynamical simulations the semi-regular and alternating pulsations of the W Vir and RV Tau stars are studied including non-steady radiative transfer effects in gray sphericalsymmetric atmospheres. It is shown that the transition from regular to semi-regular oscillations occurs at periodsP≳13–15 days due to pulsation energy imbalance provoqued by strong radiating shocks. The differences between the periods and amplitudes of W Vir and RV Tau variables are explained as a result of this imbalance. It is suggested that the semi-regular alternating pulsations of the RV Tau stars appear following a period-doubling phenomenon, which can be also understood in terms of the pulsation energy variations between odd and even fundamental cycles. The pulsational characteristics of the period-doubled models are in general accordance with those observed in the RV Tau stars. On the basis of numberical results, a theoretical estimation of the upper limit for the luminosity of the RV Tau stars is derived asL≳103 L .

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  1. Aikawa, T.: 1987,Astrophys. Space Sci. 139, 281.

  2. Aikawa, T.: 1988,Astrophys. Space Sci. 149, 149.

  3. Arp, H. C.: 1955,Astron. J. 60, 3.

  4. Auer, L. H.: 1971,J. Quant. Spectr Rad. Trans. 11, 583.

  5. Bridger, A.: 1985, in B. F. Madore (ed.), ‘Cepheids: Theory and Observations’,IAU Colloq. 82.

  6. Buchler, J. R. and Kovacs, G.: 1987,Astrophys. J. 320, L57.

  7. Buchler, J. R., Goupil, M.-J., and Kovacs, G.: 1987,Phys. Letters A126, 177.

  8. Carson, T. R., Stothers, R., and Vemuri, S. K.: 1981Astrophys J. 244, 230.

  9. Castor, J. P.: 1972a,Dudley Obs. Rept., No.4, 147.

  10. Castor, J. P.: 1972b,Astrophys. J. 204, 116.

  11. Christy, R. F.: 1966,Astrophys. J. 145, 337.

  12. Cox, A. N. and Stewart, J. N.: 1970,Astrophys. J. Suppl. Ser. 19, 261.

  13. Davis, C. J.: 1972,Astrophys. J. 172, 419.

  14. Deupree, R. G. and Hodson, S. W.: 1976,Astrophys. J. 208, 426.

  15. Fadeyev, Yu. and Tutukov, A.: 1981,Monthly Notices Roy. Astron. Soc. 195, 811.

  16. Fadeyev, Ju. and Fokin, A.: 1985,Astrophys. Space Sci. 111, 355.

  17. Feigenbaum, M.: 1980,Los Alamos Sci. 1, 4.

  18. Fokin, A.: 1989,Nauchnye Inf. Astron. Sovieta Akad. Nauk SSSR 67, 98.

  19. Hummer, D. G. and Rubicky, G. B.: 1971,Monthly Notices Roy. Astron. Soc.,152, 1.

  20. King, D. S., Cox, A. N., and Hodson, S. W.: 1981,Astrophys. J. 244, 242.

  21. Kovacs, G. and Buchler, J. R.: 1988,Astrophys. J. 334, 971.

  22. Kraft, R. P.: 1972,Dudley Obs. Repts., No.4, 69.

  23. Mihalas, D. and Mihalas, B.: 1984,Foundations of Radiation Hydrodynamics, Oxford Univ. Press, New York.

  24. Preston, G. W., Krzeminski, W., Smak, J., and Williams, J. A.,: 1963,Astrophys. J. 137, 401.

  25. Schwarzshild, M.: 1952,Transactions IAU 8, 811.

  26. Takeuti, M.: 1987,Astrophys. Space Sci. 136, 129.

  27. Takeuti, M. and Petersen, J. O.: 1983,Astron. Astrophys. 117, 352.

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Fokin, A. Semi-regular and alternating pulsations in hydrodynamical models for low-mass giants. Astrophys Space Sci 164, 95–106 (1990). https://doi.org/10.1007/BF00653554

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  • Atmosphere
  • Pulsation Energy
  • Transfer Effect
  • Radiative Transfer
  • Hydrodynamical Model