Abstract
Some physical aspects of the effect of rotation on the nonradial oscillations are discussed by the perturbation method. A new method to estimate the inner rotational angular velocity in stars with use of the rotational frequency splitting of the nonradial oscillations is proposed, and the “effective depth” for a specified mode is defined for practical procedure. The necessary quantities (frequencies, “effective depths” andC k, l values) to derive the inner rotational angular velocity through the observations by this method are calculated for models of several early type stars with masses ranging from 1.5M ⊙ to 20M ⊙.
The method is applied to three stars; B-type variable star, 53 Per, β Cep star, 12 Lac and δ Sct star, 1 Mon for which good observations are available. It is shown that the rotational angular velocities obtained seem reasonable. However, whether or not the differential rotation in the stars is actually real cannot be confirmed in this paper because of the difficulty of getting exact information about the stellar mass and evolutionary stage.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Aizenman, M. L., Smeyer, P. and Weigert, A.: 1977,Astron. Astrophys. 58, 41.
Allen, C. W.: 1973,Astrophysical Quantities, 3rd ed, Athlone Press, London, pp. 180, 210.
Ando, H. and Osaki, Y.: 1975,Publ. Astron. Soc. Japan 27, 581.
Balona, L. A. and Stobie, R. S.: 1979a,Monthly Notices Roy. Astron. Soc. 187, 217.
Balona, L. A. and Stobie, R. S.: 1979b, (preprint).
Brickhill, A. J.: 1975,Monthly Notices Roy. Astron. Soc. 170, 405.
Buta, R. J. and Smith, M. A.: 1979,Astrophys. J. 232, 213.
Danziger, I. J. and Dickens, R. J.: 1967,Astrophys. J. 149, 55.
Deubner, F. L., Ulrich, R. K. and Rhodes, E. J.: 1979,Astron. Astrophys. 72, 177.
Dziembowski, W.: 1977,Acta Astron. 27, 203.
Hansen, C. J., Cox, J. P. and van Horn, H. M.: 1977,Astrophys. J. 217, 151.
Jerzykiewicz, M.: 1978,Acta Astron. 28, 465.
Ledoux, P. and Walraven, Th.: 1958, in S. Flügge (ed.),Handbuch der Physik, Vol. 51, Springer-Verlag, Berlin, p. 353.
Lesh, J. R. and Aizenman, M. L.: 1978,Ann. Rev. Astron. Astrophys. 16, 215.
Osaki, Y.: 1974,Astrophys. J. 189, 469.
Osaki, Y. and Hansen, C. J.: 1973,Astrophys. J. 185, 277.
Paczyński, B.: 1970,Acta Astron. 20, 47.
Papaloizou, J. C. and Pringle, J. E.: 1980,Monthly Notices Roy. Astron. Soc. 190, 43.
Rhodes, E. J., Deubner, F.-L. and Ulrich, R. K.: 1979,Astrophys. J. 227, 629.
Shobbrook, R. R. and Stobie, R. S.: 1974,Monthly Notices Roy. Astron. Soc. 169, 643.
Smith, M. A.: 1977,Astrophys. J. 215, 574.
Smith, M. A.: 1980,Astrophys. J. (in press).
Smith, M. A. and McCall, M. L.: 1978,Astrophys. J. 223, 221.
Smith, M. A., and Buta, R. J.: 1979,Astrophys. J. 232, L193.
Ulrich, R. K., Rhodes, E. J. and Deubner, F.-L.: 1979,Astrophys. J. 227, 638.
Unno, W., Osaki, Y., Ando, H., and Shibashashi, H.: 1979,Nonradial Oscillations of Stars, University of Tokyo Press.
Wolff, C. L.: 1974,Astrophys. J. 193, 721.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ando, H. A new method for determining the internal rotational angular velocity of the stars. Astrophys Space Sci 73, 159–174 (1980). https://doi.org/10.1007/BF00642370
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00642370