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The Numerical Calculation of Stellar Pulsation: A Review of Methods and Results

  • T. R. Carson
Chapter
Part of the NATO ASI Series book series (ASIC, volume 302)

Abstract

A review is given of numerical methods used and results obtained in the calculation of stellar pulsation for a variety of variable types, with periods ranging from less than a day to over a hundred days. The use of both linear and non-linear formulations of the equations of stellar pulsation are shown to complement one another in delimiting the parameter space of the observed variables. Particular attention is given to the various ways in which theoretical results and observational data may be compared.

Keywords

Light Curf Effective Temperature Pulsation Characteristic Blue Edge Instability Strip 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Abt H A and Hardie R H (1960) ‘The 1.3-day Variable BL Herculis’, Ap J 131, 155–162.ADSCrossRefGoogle Scholar
  2. Bridger A (1983) ‘A Theoretical Study of Population II Cepheids with Periods in the Range 10–20 Days’, PhD Thesis, University of St Andrews.Google Scholar
  3. Bridger A (1984) ‘Theoretical Models of W Virginis Variables’, in B F Madore (ed), Cepheids:Theory and Observations, Cambridge University Press, 1985, pp 246–249.Google Scholar
  4. Carson T R (1985) ‘A Fast Accurate Code for Hydrogen and Helium Opacities’, in B Rozsnyai et al (eds) Radiative Properties of Hot Dense Matter III, World Scientific, 1987, pp 374–385.Google Scholar
  5. Carson T R and Lawrence S P A (1986) ‘Comparison of Observational and Theoretical Parameters for Short-Period Type II Cepheid Variables’, in A N Cox et al (eds) Stellar Pulsation, Springer-Verlag, 1987, pp 293–296.Google Scholar
  6. Carson T R and Sharp C M (1989) ‘The Calculation of Molecular Opacities’, in preparation.Google Scholar
  7. Carson T R and Stothers R (1976) ‘Evolutionary Problems of Cepheids and other Giants Investigated with new Radiative Opacities’, Ap J 204, 461–471.ADSCrossRefGoogle Scholar
  8. Carson R and Stothers R (1982) ‘BL Herculis Stars: Theoretical Models for Field Variables’, Ap J 259, 740–748.ADSCrossRefGoogle Scholar
  9. Carson T R and Stothers R B (1984a) ‘Long-Period Classical Cepheids: Theory versus Observation’, Ap J 276, 593–601.ADSCrossRefGoogle Scholar
  10. Carson T R and Stothers R B (1984b) ‘Very Slow Classical Cepheids: Theoretical Models with Periods longer than 50 Days’, Ap J 281, 811–814.ADSCrossRefGoogle Scholar
  11. Carson T R and Stothers R B (1988) ‘Classical Bump Cepheids: Reconciliation of Theory with Observations’, Ap J 328, 196–206.ADSCrossRefGoogle Scholar
  12. Carson T R, Stothers R and Vemury S K (1981) ‘Type II Cepheids: A Comparison of Theory with Observations’, Ap J 244, 230–241.ADSCrossRefGoogle Scholar
  13. Christy R F (1962) ‘Energy Transport in the Hydrogen Ionization Zone of Giant Stars’, Ap J 136, 887–902.ADSCrossRefGoogle Scholar
  14. Christy R F (1964) ‘The Calculation of Stellar Pulsation’, Rev Mod Physics 36, 555–571.ADSCrossRefGoogle Scholar
  15. Cox J P (1974) ‘Pulsating Stars’, Rep Prog Phys 37, 563–698.ADSCrossRefGoogle Scholar
  16. Cox J P (1984) ‘Theory of Cepheid Pulsation: Excitation Mechanisms’, in B F Madore (ed) Cepheids Theory and Observations, Cambridge University Press, 1985, pp 126–146.Google Scholar
  17. Hubickij O (1983) ‘The Effect of Opacity on Theoretical Models of RR Lyrae Stars’, PhD Thesis, The City University of New York.Google Scholar
  18. Hubickij O and Stothers R B (1986) ‘RR Lyrae Stars: A Theoretical Study of Bailey Type c Variables’, Ap J 309,122–126.ADSCrossRefGoogle Scholar
  19. Milligan H (1989) ‘The Pulsation of Delta Scuti Stars’, PhD Thesis, University of St Andrews.Google Scholar
  20. Stothers R (1981) ‘RR Lyrae Stars: A Theoretical Study of Bailey Types a and b’, Ap J 247, 941–948.ADSCrossRefGoogle Scholar
  21. Turner D G (1988) ‘A New Pulsational Radius for Delta Cephei’, Astron J 96, 1565–1569.ADSCrossRefGoogle Scholar
  22. Vemury S K and Stothers R (1978) ‘Bump Cepheids: The Mass Anomaly as an Opacity Effect’, Ap J 225, 939–949.ADSCrossRefGoogle Scholar
  23. Willingale G P H (1989) ‘A Theoretical Study of the R Coronae Borealis Group of Variable Stars’, PhD Thesis, University of St Andrews.Google Scholar
  24. Worrell, J K (1986a) ‘Pulsation Masses and Luminosities’ for the Double mode RV Tauri Star UU Her and the 89 Her Star HD161796, Mon Not Roy Ast Soc 223, 787–809.ADSGoogle Scholar
  25. Worrell J K (1986b) ‘RV Tauri Stars: The Resonance Hypothesis’, in A N Cox et al (eds) Stellar Pulsation, Springer-Verlag, 1987, pp 289–292.Google Scholar

Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • T. R. Carson
    • 1
  1. 1.Department of Physics and AstronomyUniversity of St AndrewsSt Andrews, FifeScotland, UK

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