RV Tauri Stars

  • A. B. Fokin
Part of the Astrophysics and Space Science Library book series (ASSL, volume 257)


Several problems of the theory of the RV Tauri stars are reviewed on the basis of the numerical nonlinear modelling. We analyse the nature of the alternating pulsations of these variables, and discuss their relation to the period doubling phenomenon in W Virginis stars. We also discuss the period-luminosity relation for RV Tauri stars, recently obtained following the MACHO survey of the LMC stars, and compare it to the theoretical prediction. The problem of the secondary long-period variability of the RVb group is analysed in the frame of the binary nature of these stars.


RV Tauri stars W Virginis stars LMC numerical nonlinear modelling tangent bifurcation period-doubling bifurcation period-luminosity relation RVb stars 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Abt, H. (1955). Studies of RV Tauri Stars. I. U Monocerotis. Astrophys. J., 122: 72–88.ADSCrossRefGoogle Scholar
  2. Arp, H. C. (1955). Cepheids of Periods Greater than One Day in Globular Clusters. Astrophys. J., 60: 1–17.ADSGoogle Scholar
  3. Aikawa, T. (1987). The Pommeau-Manneville Intermittent Transition to Chaos in Hydrodynamic Pulsation Models. Astrophys. Space Sci., 139: 281–293.MathSciNetADSCrossRefGoogle Scholar
  4. Aikawa, T. (1990). Intermittent Chaos in a Subharmonic Bifurcation Sequence of Stellar Pulsation Models. Astrophys. Space Sci., 164: 295–307.MathSciNetADSCrossRefGoogle Scholar
  5. Alcock, C., et al. (The MACHO Collaboration) (1998). The MACHO Project LMC Variable Star Inventory. VII. The Discovery of RV Tauri Stars and New Type II Cepheids in the Large Magellanic Cloud. Astrophys. J., 115: 1921–1933.Google Scholar
  6. Baird, S. R. (1982). Kinematic and Shock Phenomena in the Atmosphere of AC Herculis. Publ. Astron. Soc. Pacific, 94: 850–859.ADSCrossRefGoogle Scholar
  7. Bridger, A. (1985). Theoretical Models of W-Virginis Stars. In Cepheids: Theory and Observation, IA U Colloquium No. 82, Toronto, Cambridge Univ. Press, page 246.Google Scholar
  8. Buchler, J. R., and Kovacs, G. (1987). Period Doubling Bifurcations and Chaos in W Virginis Models. Astrophys. J. (Letters), 320: L57 - L62.MathSciNetADSCrossRefGoogle Scholar
  9. Buchler, J. R., Goupil, M.-J., and Kovacs, G. (1987). Tangent Bifurcation to Chaos in Stellar Pulsations. Phys. Letters, Al26: 177–180.Google Scholar
  10. Christy, R. F. (1966). A Model of W Vir with RV Tau Characteristics. Astrophys. J., 145: 337–340.ADSCrossRefGoogle Scholar
  11. Davis, C. G. (1972). W Vir Model using Radiation transfer. Astrophys. J., 172: 419–421.ADSCrossRefGoogle Scholar
  12. Deupree, R. G., and Hodson, S. W. (1976). A Suggestion for the Alternating Amplitudes of RV Tau Variables. Astrophys. J., 208: 426–427.ADSCrossRefGoogle Scholar
  13. DuPuy, D. L. (1973). New Observations of RV Tauri Stars. Astrophys. J., 185: 597–619.ADSCrossRefGoogle Scholar
  14. Evans, T. L. (1985). Circumstellar Material and the Light variations of RV Tauri Stars. Mon. Not. Roy. Astron. Soc., 217: 493–506.ADSGoogle Scholar
  15. Fadeyev, Yu. A., and Fokin, A. B. (1985). Hydrodynamic Models for Population-II Cepheids. Astrophys. Space Sci., 111: 355–374.ADSGoogle Scholar
  16. Fadeyev, Yu. A., and Muthsam, H. (1990). Nonlinear Pulsations of W Virginis-type Variables. Astron. Astrophys., 234: 188–194.ADSGoogle Scholar
  17. Fokin, A. B. (1990). Semi-regular and Alternating Pulsations in Hydrodynamical Models for Low-mass Giants. Astrophys. Space Sci., 164: 95–106.ADSCrossRefGoogle Scholar
  18. Fokin, A. B. (1992). Shock Waves and H-alpha Profiles in the Hydrodynamical Model for RR Lyrae. Mon. Not. Roy. Astron. Soc., 256: 26–36.ADSGoogle Scholar
  19. Fokin, A.B. (1994). Nonlinear Pulsations of the RV Tauri Stars. Astron. Astrophys., 292: 133–151.ADSGoogle Scholar
  20. Gehrz, R. D. (1972) Infrared Radiation from RV Tauri Stars. I. An Infrared Survey of RV Tauri Stars and Related Objects. Astrophys. J., 178: 715–725.ADSCrossRefGoogle Scholar
  21. Gillet, D. (1992). On the Origin of the Alternating Deep and Shallow Light Minima in RV Tauri Stars–R Scuti and AC Herculis. Astron. Astrophys., 259: 215–226.ADSGoogle Scholar
  22. Gillet, D., Burki, G., and Duquennoy, A. (1990). The Pulsation of the Photosphere of the RV Tauri Stars–AC Herculis and R Scuti. Astron. Astrophys., 237: 159–168.ADSGoogle Scholar
  23. Gillet, D., Duquennoy, A., Bouchet, P., and Gouiffes, G. (1989). Shock Phenomena in the Atmosphere of the RV Tauri Star, R Scuti. Astron. Astrophys., 215: 316–330.ADSGoogle Scholar
  24. Gingold, R. A. (1974). Asymptotic Giant-branch Evolution of a 0.6 M o Star. Astrophys. J., 193: 177–185.ADSCrossRefGoogle Scholar
  25. Glasner, S. A. and Buchler, J. R. (1990). Regular and Chaotic Pulsations of Convective Cepheid Envelopes. In Buchler, J. R., editor, The Numerical Modelling of Nonlinear Stellar Pulsations, NATO ASI Series C 302, Kluwer Academic Publishers: Dordrecht, pages 109–120.CrossRefGoogle Scholar
  26. Goldsmith, M. J., Evans, A., Albinson, J. S., and Bode, M. F. (1987). Optical and Infrared Observations of RV Tauri Stars. Mon. Not. Roy. Astron. Soc., 227: 143–159.ADSGoogle Scholar
  27. Jura, M. (1986). RV Tauri Stars as Post-asymptotic Giant Branch Objects. Astrophys. J., 309: 732–736.ADSCrossRefGoogle Scholar
  28. Kollâth, Z. (1990). Chaotic Behaviour in the Light Variation of the RV Tauri Star R Scuti. Mon. Not. Roy. Astron. Soc., 247: 377–386.ADSGoogle Scholar
  29. Kovacs, G., and Buchler, J. R. (1988). Regular and Irregular Nonlinear Pulsations in Population-II Cepheid Models. Astrophys. J., 334: 971–994.ADSCrossRefGoogle Scholar
  30. Landstreet, J. D., and Angel, J. R. P. (1977). Detection of Polarization Variations across Absorption Features of Mira variables. Astrophys. J., 211: 825–838.ADSCrossRefGoogle Scholar
  31. Lebre, A., and Gillet, D. (1991). The Bright RV Tauri Star R Scuti during an Exceptional Irregular Light Phase. Astron. Astrophys., 246: 490–502.ADSGoogle Scholar
  32. McNamara, D. H. (1995). Period-luminosity Relations of Population II Cepheids. Astron. J., 109: 2134–2137.ADSCrossRefGoogle Scholar
  33. Moskalik, P., and Buchler, J. R. (1990). Resonances and Period Doubling in the Pulsations of Stellar Models. Astrophys. J., 355: 590–601.ADSCrossRefGoogle Scholar
  34. Nemec, J. M., Nemec, A. F. L., and Lutz T. E. (1994). Period-luminositymetallicity Relations, Pulsation Modes, Absolute Magnitudes, and Distances for Population II Variable Stars. Astron. J., 108: 222–246.ADSCrossRefGoogle Scholar
  35. O’Connel, D. J. K. (1933). On Variable Stars with a Long and a Short Period. Harvard College Obs., Bull. 893: 19–21.ADSGoogle Scholar
  36. Paczynski, B. (1971). Evolutionary Process in Close Binary Systems. Ann. Rev. Astron. Astrophys., 9: 183–208.ADSCrossRefGoogle Scholar
  37. Perdang, J., and Blacher, S. (1982). Non-linear Stellar Oscillations–Two-mode Interactions. Astron. Astrophys., 112: 35–48.MathSciNetADSzbMATHGoogle Scholar
  38. Pollard, K., Cottrell, P. L., Kilmartin, P. M., and Gilmore, A. C. (1996). RV Tauri Stars–I. A Long Term Photometric Survey. Mon. Not. Roy. Astron. Soc., 279: 949–977.ADSGoogle Scholar
  39. Pollard, K., Cottrell, P. L., Lawson, W. A., Albrow, M. D., and Tobin, W. (1997). RV Tauri Stars–I. A Long-term Photometric Study. Mon. Not. Roy. Astron. Soc., 286: 1–22.ADSGoogle Scholar
  40. Preston, G. W. (1962). The Outer Layers of R Scuti. Astrophys. J., 136: 866–886.ADSCrossRefGoogle Scholar
  41. Preston, G. W. (1964). Metallic Emission and Other Spectroscopic Peculiarities. Astrophys. J., 140: 173–181.ADSCrossRefGoogle Scholar
  42. Preston, G. W., Krzeminski, W., Smak J., and Williams J. A. (1963). A Spectroscopic and Photoelectric Survey of the RV Tau Stars. Astrophys. J., 137: 401–431.ADSCrossRefGoogle Scholar
  43. Rössler, O. E. (1976). Different Types of Chaos in Two Simple Differential Equations. Z. Naturforsch. 31a: 1664–1680.ADSGoogle Scholar
  44. Ruelle, D., and Takens, F. (1971). On the Nature of Error! Hyperlink reference not valid.mun. Math. Phys. 20: 167–192.MathSciNetADSzbMATHCrossRefGoogle Scholar
  45. Sanford, R. F. (1955). The Velocity and Spectrum of AC Herculis from Coudé Spectrograms. Astrophys. J., 121: 318–325.ADSCrossRefGoogle Scholar
  46. Serkowski, K. (1970). Polarimetric Observations of the RV Tauri Star U Monocerotis. Astrophys. J., 160: 1107–1116.ADSCrossRefGoogle Scholar
  47. Schwarzchild, M. (1975). On the Scale of Photspheric Convection in Red Giants and Supergiants. Astrophys. J., 195: 137–145.ADSCrossRefGoogle Scholar
  48. Stothers, R., and Leung, R. (1971). Luminosities, Masses and Periodicities of Massive Red Supergiants. Astron. Astrophys., 10: 290–301.ADSGoogle Scholar
  49. Takeuti, M. (1987). A Discrete-dynamic Study of Pulsating Stars. Astrophys. Space Sci., 136: 129–132.ADSCrossRefGoogle Scholar
  50. Takeuti, M., and Petersen, J. O. (1983). The Resonance Hypothesis Applied to RV Tauri Stars. Astron. Astrophys., 117: 352–356.ADSGoogle Scholar
  51. Takeuti, M., and Tanaka, Y. (1995). Note on Intermittent Burst of a Hydrodynamic Model. Publ. Astron. Soc. Japan, 47: 487–491.ADSGoogle Scholar
  52. Tsesevich, W. (1933). On Period of Mu Cephei-type Stars. Leningrad Univ. Obs. Bull., 2: 2–3.Google Scholar
  53. Tsesevich, V. P. (1975). The RV Tauri Type Stars. In Kukarkin, B. V. editor, Pulsating Stars, ( New York: J.Wiley )Google Scholar
  54. Tuchman, Y., Lebre, A., Mennesier, M. O., and Yarri, A. (1993). Linear Analysis of RV-Tauri Stars–the Resonance Hypothesis. Astron. Astrophys., 271: 501–507.ADSGoogle Scholar
  55. Vidal, C. (1981). Dynamics Instabilities Observed in the BelousovZhabotinsky System. In Haken, H., editor, Chaos and Order in Nature. Proc. Int. Symp. on Synergetics at Schloss Elmau., Springer-Verlag, pages 68–82.Google Scholar
  56. Waelkens, C., and Waters, L.B. F. M. (1975). Binarity of High-latitude Supergiants: Observational Evidence. In Sasselov, D. D. editor, Luminous High-Latitude Stars, Astron. Soc. Pacific Conf. Series 45, pages 219–230.Google Scholar
  57. Wallerstein, G., and Cox, A. N. (1984). The Population II Cepheids. Publ. Astron. Soc. Pacific, 96: 677–691.ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • A. B. Fokin
    • 1
    • 2
  1. 1.Institute of Astronomy of the Russian Academy of SciencesMoscowRussia
  2. 2.Observatoire de GenèveSauvernySwitzerland

Personalised recommendations