Abstract
We have studied the stability of finite gaseous discs, against large-scale perturbations, under the influence of spherical, massive haloes. A surface-density distribution consistent with the observed spiral-tracer profiles in disc galaxies is considered for the disc. We find that growing eigenmodes with both ‘trailing’ and ‘leading’ spirals exist in ‘cold’ discs for a wide range of values of the halo mass and its radius. The amplification rates of the unstable modes reduce as the ratio of the mass of the halo to the mass of the disc is increased. A uniform halo is not very effective towards stabilizing the disc against these modes. The results from the present study are consideredvis-a-vis previous studies on the global modes of self-gravitating discs.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ambastha, A., Varma, R. K. 1982,J. Astrophys. Astr.,3, 125.
Ambastha, A., Varma, R. K. 1983,Astrophys.J.,264, 413.
Aoki, S., Noguchi, M., Lye, M. 1979,Publ. astr. Soc Japan,31, 737.
Bardeen, J. M. 1975, inIAU Symp. 69:Dynamics of Stellar Systems, Ed. A. Hayli, D. Reidel, Dordrecht, p. 297.
Berman, R. H., Brownrigg, D. R. K., Hockney, R. W. 1978,Mon. Not. R. astr. Soc,185, 861.
Bertin, G. 1980,Phys. Rep.,61, 1.
Bertin, G., Mark, J. W.-K. 1978,Astr. Astrophys.,64, 389.
Bok, B. 1981,Mercury,10, 130.
Bosma, A. 1978,PhD Thesis, Rijksuniv., Groningen.
Efstathiou, G., Lake, G., Negroponte, J. 1982,Mon. Not. R. astr. Soc.,199, 1069.
Gordon, M. A., Burton, W. B. 1976,Astrophys. J.,208, 346.
Hart, L., Pedlar, A. 1976,Mon. Not. R, astr. Soc.,176, 547.
Hohl, F. 1970,NASA Tech. Rep. TRR 343.
Hunter, C. 1963,Mon. Not. R. astr. Soc.,126, 299.
Lye, M. 1978,Publ. astr. Soc. Japan,30, 223.
Kalnajs, A. J. 1972,Astrophys. J.,175, 63.
Kato, S. 1974,Publ. astr. Soc. Japan,26, 207.
Kodaira, K. 1974,Publ. astr. Soc. Japan,26, 255.
Krumm, N., Salpeter, E. E. 1979,Astr. J.,84, 1138.
Lau, Y. Y., Lin, C. C., Mark, J. W. K. 1976,Proc. nat. Acad. Sci. Am.,73, 1379.
Lin, C. C., Shu, F. H. 1964,Astrophys. J.,140, 646.
Lin, C. C., Yuan, C., Shu, F. H. 1969,Astrophys. J.,155, 721.
Ostriker, J. P., Peebles, P. J. E. 1973,Astrophys. J.,186, 467.
Ostriker, J. P., Peebles, P. J. E., Yahil, A. 1974Astrophys. J.,193, L1.
Pannatoni, R. F., Lau, Y. Y. 1979,Proc. Nat. Acad. Sci. USA,76, 4.
Reddish, V. C. 1968,Q. J. R. astr. Soc.,9, 409.
Rubin, V. C., Ford, W. K., Thonnard, N. 1978,Astrophys. J.,225, L107.
Salpeter, E. E. 1977,Ann. N. Y. Acad. Sci.,302, 681.
Seiden, P. E., Gerola, H. 1979,Astrophys. J.,233, 56.
Stecker, F. W.1976,GSFC Rep. X-662-76-154, 357.
Takahara, F. 1978,Publ. astr. Soc. Japan,30, 253.
Tinsley, B. M., Cameron, A. G. W. 1974,Astrophys. Space Sci.,31, 31.
Truran, J. W., Cameron, A. G. W. 1971,Astrophys. Space Sci.,14, 179.
Toomre, A. 1964,Astrophys. J.,139, 1217.
Toomre, A. 1981,in The Structure and Evolution of Normal Galaxies, Eds S. M. Fall & D. Lynden-Bell, Cambridge Univ. Press, p. 111.
Yabushita, S. 1969,Mon. Not. R. astr. Soc.,142, 201.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ambastha, A. Stability of a finite disc under the influence of a spherical halo. J Astrophys Astron 5, 285–306 (1984). https://doi.org/10.1007/BF02714545
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02714545