Abstract
The resonant excitation of the large-scale nonradial oscillations of a star by turbulent convection is considered. In the case of an incompressible inhomogeneous liquid sphere and a spherical shell we have demonstrated the excitation of oscillations and have obtained the explicit analytic expressions for the oscillation amplitudes. The effect of uniform axial rotation of a star upon the oscillations has also been considered. The estimates of the r.m.s. velocities of the excited quadrupole oscillations based on solar parameters do not contradict the observations of the 160 min. solar oscillations. Results are briefly discussed and applications are also made to the case of nonradial oscillations of outer convection zones of white dwarfs, Jupiter and Saturn.
Similar content being viewed by others
References
Bekers, J. M.: 1980, in D. F. Gray and J. L. Linsky (eds.), ‘Stellar Turbulence’,IAU Colloq. 51, 85.
Chandrasekhar, S.: 1955,Proc. Camb. Phil. Soc.,51, 162.
Chandrasekhar, S.: 1959,Proc. London Math. Soc. 9 (3), 141.
Cowling, T. G. and Newing, R. A.: 1949,Astrophys. J. 109, 149.
Cox, J. P.: 1980,Theory of Stellar Pulsation, Princeton University Press, London.
Einstein, A. and Smoluchowski, M.: 1936,Brownian Motion, ONTI, NKTP, USSR (in Russian), p. 571.
Gehrels, T. M. (ed.): 1976,Jupiter, Univ. Arizona Press, Tucson.
Goldreich, P. and Keeley, D. A.: 1977,Astrophys. J. 211, 934.
Hansen, C. J., Cox, J. P., and van Horn, H. M.: 1977,Astrophys. J. 217, 158.
Hide, R.: 1956,Quart. J. Mech. Appl. Math. 9, 22.
Kaplan, S. A., Pikelner, S. B., and Tsytovich, V. N.: 1974,Phys. Report 15C, 1.
Kato, S.: 1966,Astrophys. J. 143, 372.
Keeley, D. A.: 1980, in H. A. Hill and W. A. Dziembowski (eds.),Nonradial and Nonlinear Stellar Pulsation, Lecture Notes in Physics, Vol. 125, Springer-Verlag, Heidelberg, p. 245.
Ledoux, P.: 1951,Astrophys. J. 114, 373.
Osaki, Y.: 1974,Astrophys. J. 189, 469.
Reid, W. H.: 1959,Proc. London Math. Soc. 9, (3), 388.
Scherrer, P. H. and Wilcox, J. W.: 1983,Solar Phys. 82, 37.
Severny, A. B., Kotov, V. A., and Tsap, T. T.: 1976,Nature 259, 87.
Souffrin, P.: 1970,Astron. Astrophys. 7, 227.
Unno, W., Osaki, Y., Ando, H., and Shibahashi, H.: 1979,Nonradial Oscillations of Stars, University of Tokyo Press, Tokyo.
Vorontsov, S. V. and Zharkov, V. N.: 1981,Astron. Zh. 58, 1101 (in Russian).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dolginov, A.Z., Muslimov, A.G. Nonradial stellar oscillations excited by turbulent convection. Astrophys Space Sci 98, 15–36 (1984). https://doi.org/10.1007/BF00651949
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00651949