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Determination of an Instability Strip of Long Period Variables

Research Project

Project/Area Number 04640266
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field Astronomy
Research InstitutionThe University of Tokyo

Principal Investigator

SHIBAHASHI Hiromoto  The University of Tokyo, Graduate School of Science : Associate Professor, 大学院・理学系研究科, 助教授 (30126081)

Co-Investigator(Kenkyū-buntansha) OSAKI Yoji  The University of Tokyo, Graduate School of Science : Professor, 大学院・理学系研究科, 教授 (30011547)
Project Period (FY) 1992 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1993: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1992: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsStellar Pulsations / Stellar Magnetic Fields / Stellar Rotation / RR Lyrae型星 / A型特異星 / Blazhko効果 / 摂動論 / 恒星 / 脈動
Research Abstract

Infrared photometric investigation of Mira variables in the Large Magellanic Cloud has been extensively carried out since the late 1970s. Since stars in LMC are almost equally distant from us, we can discuss some properties of these stars by dealing with only relative luminosity without accurate knowledge of bolometric correction for absolute magnitudes. In this way, astronomers in SAAO obtained observationally a period-luminosity relation of Mira variables in LMC.In the present research project, we show that there should exist a period-mass-luminosity relation rather than a simple period-luminosity relation for Mira variables. A recent observationally obtained period-luminosity relation for these stars should be considered as a projection of the period-mass-luminosity relation on the (period, luminosity)-plane, and the scatter around an observationally fitted line of the period-luminosity relation should be interpreted partially as a mass distribution of the sample stars. We show that … More from this scatter we can deduce the mass and the position of each of the stars in the HR diagram. An observationally obtained period-luminosity relation of Mira variables implies the existence of an instability strip for these stars.
We also propose a possible interpretation for the Blazhko effect in the RR Lyrae variables, which has remained to be solved for a very long time. We assume that these stars have a dipole magnetic field, which is oblique to the rotation axis of the star, and examine the effect of this field on the radial fundamental oscillation mode as a small perturbation. We demonstrate that the observed Blazhko effect is well interpreted by taking account of the perturbation to the eigenfunction. We estimate the magnetic field strength necessary to explain the Blazhko effect. This model will be justified if such magnetic fields will be detected. We also apply this model to the rapidly oscillating Ap stars. Most of Ap stars are believed to have, at least, a quadrupole magnetic field in addition to a main dipole component. In this research, we consider a general poloidal magnetic field and investigate its effect upon oscillations as a perturbation. Comparing the present results with the observational data provides us with asteroseimological information of these stars. We finally investigate the stochastic excitation mechanism of oscillations in the solar-like stars, and obtain the frequency range of the excited oscillation modes in a various stars. We expect that the semi-regular and/or irregular luminosity variation in late type stars may be a manifestation of the oscillations excited by this mechanism. Less

Report

(3 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • Research Products

    (29 results)

All Other

All Publications (29 results)

  • [Publications] Hansen,P.C.: "The Modified Truncated-SVD Method for Regularization in General Form" SIAM J.Sci.Stat.Comput.13. 1142-1150 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Osaki,Y.: "Excitation Mechanisms of Oscillations in Stars" Proc.IAU Colloq.No.137:Inside the Stars. 512-520 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Shibahashi,H.: "Theory of the Oblique Pulsator Model for the Rapidly Pulsating Ap Stars" Proc.IAU Colloq.No.137:Inside the Stars. 563-565 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Duvall,T.L.,Jr.: "Asymmetrics of Solar Oscillation Line Profiles" Astrophys.J.410. 829-836 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Shibahashi,H.: "Theory of the Distorted Dipole Modes of the Rapidly Oscillating Ap Stars" Publ.Astron.Soc.Japan. 45. 617-641 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Shibahashi,H.: "Implication of a P-L Relation of Mira Variables" Proc.IAU Colloq.No.139:New Perspectives on Stellar Pulsation and Pulsating Variable Stars. 103-103 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Shibahashi,H.: "Pulsation of Rotating Magnetic Stars" Proc.IAU Colloq.No.139:New Perspectives on Stellar Pulsation and Pulsating Variable Stars. 134-134 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Shibahashi,H.: "Helioseismology and the Solar Neutrino Problem" Frontiers of Neutrino Astrophysics,eds.Y.Suzuki & K.Nakamura(Universal Academy Press;Tokyo). 93-103 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Taketa,M.: "Selection Rules for Perturbation to Eigenfunctions of Pulsations of Stars due to Rotation and Magnetic Field" Publ.Astron.Soc.Japan. 46(印刷中). (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Jefferies,S.M.: "Use of Acoustic Wave Travel Time Measurements to Probe the Near-Surface Layers of the Sun" Astrophys.J.(投稿中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Hansen, P.C., Sekii, T., & Shibahashi, H.: ""The Modified Truncated-SVD Method for Regularization in General Form"" SIAM J.Sci.Stat.Comput.13. 1142-1150 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Osaki, Y.: ""Excitation Mechanisms of Oscillations in Stars"" in Inside the Stars, IAU Colloq.No.137, eds.W.W.Weiss & A.Baglin (Astron.Soc.Pacific, San Francisco). 512-520 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Shibahashi, H., & Takata, M.: ""Theory of the Oblique Pulsator Model for the Rapidly Oscillating Ap Stars"" in Inside the Stars, IAU Colloq.No.137, eds.W.W.Weiss & A.Baglin (Astron.Soc.Pacific, San Francisco). 563-565 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Duvall, T.L., Jr., Jefferies, S.M., Harvey, J.W., Osaki, Y., and Pomerantz, M.A.: ""Asymmetries of Solar Oscillation Line Profiles"" Astrophys.J.410. 829-836 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Shibahashi, H., & Takata, M.: ""Theory of the Distorted Dipole Modes of the Rapidly Oscillating Ap Stars : A Refinement of the Oblique Pulsator Model"" Publ.Astron.Soc.Japan. 45. 617-641 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Shibahashi, H.: ""Implication of a P-L Relation of Mira Variables"" in New Perspectives on Stellar Pulsation and Pulsating Variable Stars, IAU Colloq.No.139, ed J.M.Nemec & J.M.Matthews (Cambridge University Press, Cambridge). 103. (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Shibahashi, H., & Takata, M.: ""Pulsation of Rotating Magnetic Stars"" in New Perspectives on Stellar Pulsation and Pulsating Variable Stars, IAU Colloq.No.139, ed J.M.Nemec & J.M.Matthews (Cambridge University Press, Cambridge). 134. (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Shibahashi, H.: ""Helioseismology and the Solar Neutrino Problem"" in Forntiers of Neutrino Astrophyics, eds.Y.Suzuki & K.Nakamura(Universal Academy Press, Tokyo). 93-103 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Takata, M., & Shibahashi, H.: ""Selection Rules for Perturbation to Eigenfunctions of Pulsations of Stars due to Rotation and Magnetic Field"" Publ.Astron.Soc.Japan. 46, (in press). (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Jefferies, S.M., Osaki, Y., Shibahashi, H., Duvall, T.L., Jr., Harvey, J.W., & Pomerantz, M.A.: ""Use of Acoustic Wave Travel Time Measurements to Probe the Near-surface Layrs of the Sun"" Astrophys.J.(submitted). (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Hansen,P.C.: "The Modified Truncated-SVD Method for Regularization in General Form" SIAM J.Sci.Stat.Comput.13. 1142-1150 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] Osaki,Y.: "Excitation Mechanisms of Oscillations in Stars" Proc.IAU Collog.No.137:Inside the Stars. 512-520 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] Shibahashi,H.: "Theory of the Oblique Pulsator Model for the Rapidly Pulsating Ap Stars" Proc.IAU Collog.No.137:Inside the Stars. 563-565 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] Duvall,T.L.,Jr.: "Asymmetries of Solar Oscillation Line Profiles" Astrophys.J.410. 829-836 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Shibahashi,H.: "Theory of the Disterted Dipole Modes of the Rapidly Oscillating Ap Stars" Publ.Astron.Soc.Japan. 45. 617-641 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Shibahashi,H.: "Melioseismology and the Solar Neutrino Problem" in Frontiers of Neutrino Astrophysics,eds.Y.Suzuki & K.Nakamura(Universal Academy Press;Tokyo). 93-103 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Shibahashi: "Implication of a P-L Relation of Mira Variables" in Proc.IAU Collog.No139“New Perspective on Steller Pulsation and Pulating Variables".

    • Related Report
      1992 Annual Research Report
  • [Publications] H.Shibahashi: "Pulsation of Rotating Magnetic Stars" in Proc.IAU Collog.No139“New Perspectios on Steller Pulsation and Pulsating Variables".

    • Related Report
      1992 Annual Research Report
  • [Publications] H.Shibahashi: "Theory of the Obligne Pulsator Model for the Rapioly Oscillating Ap Stars" in Proc.IAU Collog.No137 “Inside the Stars".

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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