Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-26T03:35:51.116Z Has data issue: false hasContentIssue false
  • English
  • Français

Global Instabilities of Disks∗

Published online by Cambridge University Press:  14 August 2015

J. M. Bardeen
J. M. Bardeen*
Affiliation:
Yale University, New Haven, Conn., U.S.A.

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Current understanding of the stability of gas and stellar disks suggests very strongly that local stability to axisymmetric modes is not sufficient for global stability. A global instability to a bar mode will develop unless the rotational kinetic energy is sufficiently small compared with the random kinetic energy for the system as a whole. A disk as cool as the galactic disk near the Sun can survive only if most of the mass of the Galaxy is in a ‘hot’ component, such as a central bulge and/or an extended halo. We review the theoretical evidence for this conclusion coming from analytic results for simple gas and stellar disks, from numerical simulations of stellar disks, and from numerical calculations of the stability of gas disks. Some new results on the precise form of dynamic bar instabilities of gas disks with and without halos are reported.

Type
Part II/Flattened Systems
Information
Symposium - International Astronomical Union , Volume 69: Dynamics of Stellar Systems , 1975 , pp. 297 - 320
Copyright
Copyright © Reidel 1975 

References

Bardeen, J. M.: 1971, Astrophys. J. 167, 425.CrossRefGoogle Scholar
Chandrasekhar, S.: 1969, Ellipsoidal Figures of Equilibrium, Yale University Press, New Haven.Google Scholar
Chandrasekhar, S.: 1970, Astrophys. J. 181, 497.Google Scholar
Chandrasekhar, S. and Lebovitz, N. R.: 1962, Astrophys. J. 135, 248.Google Scholar
Erickson, S. A.: 1974, ‘Vibrations and Instabilities of a Disk Galaxy with Modified Gravity’, ().Google Scholar
Feldman, S. I. and Lin, C. C.: 1973, Studies in Applied Math. 7, 1.Google Scholar
Freeman, K. C.: 1970, Astrophys. J. 160, 811.Google Scholar
Freeman, K. C.: 1975, this volume, p. 367.Google Scholar
Friedman, J. L. and Schutz, B. F.: 1975, ‘On the Stability of Relativistic Systems’, Astrophys. J. (to be published).CrossRefGoogle Scholar
Goldreich, P. and Lynden-Bell, D.: 1965, Monthly Notices Roy. Astron. Soc. 130, 7.Google Scholar
Hohl, F.: 1971, Astrophys. J. 168, 343.CrossRefGoogle Scholar
Hohl, F.: 1973, Astrophys. J. 184, 353.Google Scholar
Hohl, F.: 1975, this volume, p. 349.Google Scholar
Hunter, C.: 1963, Monthly Notices Roy. Astron. Sov. 126, 299.Google Scholar
Hunter, C.: 1965, Monthly Notices Roy. Astron. Soc. 129, 311.Google Scholar
Hunter, C.: 1972, Annual Reviews of Fluid Mechanics, Annual Reviews, Palo Alto.Google Scholar
Hunter, C.: 1973, Astrophys. J. 181, 685.Google Scholar
Kalnajs, A. J.: 1972, Astrophys. J. 175, 63.Google Scholar
Larson, R. and Starrfield, S.: 1971, Astron. Astrophys. 13, 190.Google Scholar
Lin, C. C. and Shu, F. H.: 1964, Astrophys. J. 140, 646.Google Scholar
Lin, C. C. and Shu, F. H.: 1966, Proc. Nat. Acad. Sci. 55, 229.CrossRefGoogle Scholar
Lin, C. C., Yuan, C. and Shu, F. H.: 1969, Astrophys. J. 155, 721.Google Scholar
Lynden-Bell, D.: 1967, Monthly Notices Roy. Astron. Soc. 136, 101.Google Scholar
Lynden-Bell, D. and Ostriker, J. P.: 1967, Monthly Notices Roy. Astron. Soc. 136, 293.Google Scholar
Miller, B. D.: 1973. Astrophys. J. 181, 497.CrossRefGoogle Scholar
Miller, R. H.: 1971, Astrophys. Space Sci. 14, 73.Google Scholar
Miller, R. H.: 1974, Astrophys. J. 190, 539.CrossRefGoogle Scholar
Miller, R. H. and Prendergast, K. H.: 1968, Astrophys. J. 151, 699.Google Scholar
Miller, R. H., Prendergast, K. H., and Quirk, W. J.: 1970, Astrophys. J. 161, 903.CrossRefGoogle Scholar
Ostriker, J. P. and Bodenheimer, P.: 1973, Astrophys. J. 180, 171.Google Scholar
Ostriker, J. P. and Mark, J. W-K.: Astrophys. J. 151, 1075.Google Scholar
Ostriker, J. P. and Peebles, P. J. E.: 1973, Astrophys. J. 186, 467.Google Scholar
Ostriker, J. P., Peebles, P. J. E., and Yahil, A.: 1974, Astrophys. J. Letters 193, 1.Google Scholar
Ostriker, J. P. and Tassoul, J. L.: 1969, Astrophys. J. 155, 987.Google Scholar
Press, W. H. and Teukolsky, S. A.: 1973, Astrophys. J. 181, 513.Google Scholar
Roberts, M.: 1975, this volume, p. 331.Google Scholar
Schmidt, M.: 1965, Stars and Stellar Systems 5, 513.Google Scholar
Schmidt, M.: 1975, this volume, p. 325.Google Scholar
Tassoul, J. L. and Ostriker, J. P.: 1968, Astrophys. J. 154, 613.Google Scholar
Toomre, A.: 1964, Astrophys. J. 139, 1217.Google Scholar
Toomre, A.: 1969, Astrophys. J. 158, 899.CrossRefGoogle Scholar
Truran, J. W. and Cameron, A. G. W.: 1971, Astrophys. Space Sci. 14, 179.Google Scholar
Tully, R. B.: 1974, Astrophys. J. Suppl. 27, 449.CrossRefGoogle Scholar
Vandervoort, P.: 1970, Astrophys. J. 162, 453.Google Scholar
Wolfe, A. and Burbidge, G. R.: 1970, Astrophys. J. 161, 419.Google Scholar