Astronomy Letters

, Volume 44, Issue 12, pp 782–786 | Cite as

Secular Perion Changes and Fundamental Parameters of Long–Period Cepheids

  • Yu. A. FadeyevEmail author


Hydrodynamic computations of nonlinear Cepheid pulsation models with periods from 20 to 100 day on the evolutionary stage of core helium burning were carried out. Equations of radiation hydrodynamics and time–dependent convection were solved with initial conditions obtained from selected models of evolutionary sequences of population I stars with initial masses from 8 M to 12.5 M. For each crossing of the instability strip the pulsation period Π and the rate of period change \(\dot \prod \) were derived as a function of evolutionary time. Comparing results of our computations with observational estimates of Π and \(\dot \prod \) we determined fundamental parameters (the age, the mass, the luminosity and the radius) of seven long–period Cepheids. Theoretical estimates of the stellar radius are shown to agree with radius measurements by the Baade–Wesselink technique within 3% for RS Pup and GY Sge whereas for SV Vul the disagreement between theory and observations does not exceed 10%.


stars variable and peculiar 


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  1. 1.
    L. N. Berdnikov, Astron. Lett. 20, 232 (1994).ADSGoogle Scholar
  2. 2.
    L. N. Berdnikov and D. G. Turner, Astron. Rep 54, 392 (2010).ADSCrossRefGoogle Scholar
  3. 3.
    L. N. Berdnikov, E. N. Pastukhova, N. A. Gorynya, A. V. Zharova, and D. G. Turner, Publ. Astron. Soc. Pacific 119, 82 (2007).ADSCrossRefGoogle Scholar
  4. 4.
    L. N. Berdnikov, E. N. Pastukhova, D. G. Turner, and D. J. Majaess, Astron. Lett. 35, 175 (2009a).ADSCrossRefGoogle Scholar
  5. 5.
    L. N. Berdnikov, A. A. Henden, D. G. Turner, and E. N. Pastukhova, Astron. Lett. 35, 406 (2009b).ADSCrossRefGoogle Scholar
  6. 6.
    E. Böhm–Vitense, Zeitschrift für Astrophys. 46, 108 (1958).ADSGoogle Scholar
  7. 7.
    G. Bono, M. Marconi, S. Cassisi, F. Caputo, W. Gieren, and G. Pietrzynski, Astrophys. J. 621, 966 (2005).ADSCrossRefGoogle Scholar
  8. 8.
    R.H. Cyburt, A. M. Amthor, R. Ferguson, Z. Meisel, K. Smith, S. Warren, A. Heger, R. D. Hoffman, et al., Astrophys. J. Suppl. Ser. 189, 240 (2010).ADSCrossRefGoogle Scholar
  9. 9.
    Yu. N. Efremov, Sov.Astron. 22, 161 (1978).ADSGoogle Scholar
  10. 10.
    Yu. A. Fadeyev, Astron. Lett. 39, 746 (2013).ADSCrossRefGoogle Scholar
  11. 11.
    Yu. A. Fadeyev, MNRAS449, 1011 (2015а).Google Scholar
  12. 12.
    Yu. A. Fadeyev, Astron. Lett. 41, 640 (2015b).Google Scholar
  13. 13.
    R. J. Havlen, Astron. Astrophys. 17, 413 (1972).ADSGoogle Scholar
  14. 14.
    F. Herwig, Astron. Astrophys. 360, 952 (2000).ADSGoogle Scholar
  15. 15.
    P. Hodge, Astrophys. J 133, 413 (1961).ADSCrossRefGoogle Scholar
  16. 16.
    P. Kervella, A. Mérand, L. Szabados, P. Fouqué, D. Bersier, E. Pompei, and G. Perrin, Astron. Astrophys. 480, 167 (2008).ADSCrossRefGoogle Scholar
  17. 17.
    P. Kervella, H. E. Bond, M. Cracraft, L. Szabados, J. Breitfelder, A. Mérand, W. B. Sparks, A. Gallenne, et al., Astron. Astrophys. 572, A7 (2014).Google Scholar
  18. 18.
    P. Kervella, B. Trahin, H. E. Bond, A. Gallenne, L. Szabados, A. Mérand, J. Breitfelder, J. Dailloux, et al., Astron. Astrophys. 600, A127 (2017).Google Scholar
  19. 19.
    R. Kippenhahn and L. Smith, Astron. Astrophys. 1, 142 (1969).ADSGoogle Scholar
  20. 20.
    R. Kuhfuß, Astron. Astrophys. 160, 116 (1986).ADSGoogle Scholar
  21. 21.
    E. Meyer-Hofmeister, Astron. Astrophys. 2, 143 (1969).ADSGoogle Scholar
  22. 22.
    B. Paxton, J. Schwab, E. B. Bauer, L. Bildsten, S. Blinnikov, P. Duffell, R. Farmer, J. A. Goldberg, et al., Astrophys. J. Suppl. Ser. 234, 34 (2018).ADSCrossRefGoogle Scholar
  23. 23.
    A. S. Rastorguev and A. K. Dambis, Astrophys. Bull. 66, 47 (2011).ADSCrossRefGoogle Scholar
  24. 24.
    D. Reimers, Problems in Stellar Atmospheres and Envelopes, Ed. by B. Baschek, W. H. Kegel, and G. Traving (New York: Springer-Verlag, 1975), p. 229.Google Scholar
  25. 25.
    M. E. Sachkov, Astron. Lett. 28, 589 (2002).ADSCrossRefGoogle Scholar
  26. 26.
    D. G. Turner and L. N. Berdnikov, Astron. Astrophys. 423, 335 (2004).ADSCrossRefGoogle Scholar
  27. 27.
    D. G. Turner and J. F. Burke, Astron. J. 124, 2931 (2002).ADSCrossRefGoogle Scholar
  28. 28.
    B. Westerlund, Publ. Astron. Soc. Pacific 73, 72 (1961).ADSCrossRefGoogle Scholar

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© Pleiades Publishing, Inc. 2018

Authors and Affiliations

  1. 1.Institute of AstronomyRussian Academy of SciencesMoscowRussia

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