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How Can It All Be Stable?

Published online by Cambridge University Press:  30 March 2016

Alar Toomre
Alar Toomre*
Affiliation:
Massachusetts Institute of Technology, Cambridge, Mass., U.S.A.

Extract

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My contribution to this Joint Discussion can hardly be termed very novel or original. Rather, I just want to call your attention here to two headaches - one perhaps only a hangover, but the other a real migraine. Sooner or later these two headaches beset anyone who persists in asking how the random motions of stars in the only vicinity where we tolerably observe them can possibly jibe with the sensible presumption that not only our neighborhood but this entire Galaxy should by now be reasonably stable.

There is of course nothing strictly ‘local’ about any problem involving the far-reaching gravity. Yet if some conceivable instability of our collection of nearby stars comes even close to deserving such a label, it is surely the Jeans instability or tendency toward gravitational collapse. After all it is not difficult to estimate (e.g., Toomre, 1964) that the most troublesome of such incipient clumpings ought to have significant dimensions (such as half-wavelengths) of the order of 3 or 4 kpc. Even the latter scale is probably not too large a fraction of our distance from the galactic center for ‘local’ analyses in the WKBJ spirit to remain coarsely trustworthy.

Type
Joint Discussions
Information
Highlights of Astronomy , Volume 3: Highlights of Astronomy. As presented at the XVth General Assembly of the IAU, 1973 , 1974 , pp. 457 - 464
Copyright
Copyright © Reidel 1974

References

Goldreich, P. and Lynden-Bell, D.: 1965, Monthly Notices Roy. Astron. Soc. 130, 97.Google Scholar
Graham, R.: 1967, Monthly Notices Roy. Astron. Soc. 137, 25.Google Scholar
Hockney, R. W. and Hohl, F.: 1969, Astron. J. 74, 1102.CrossRefGoogle Scholar
Hohl, F.: 1971, Astrophys. J. 168, 343.Google Scholar
Hohl, F.: 1973, Astrophys. J. 184, 353.Google Scholar
Julian, W. H. and Toomre, A.: 1966, Astrophys. J. 146, 810.Google Scholar
Kalnajs, A. J.: 1972, Astrophys. J. 175, 63.Google Scholar
Lacarrieu, C. T.: 1971, Astron. Astrophys. 14, 95.Google Scholar
Miller, R. H.: 1971, Astrophys. Space Sei. 14, 73.Google Scholar
Miller, R. H., Prendergast, K. H., and Quirk, W. J.: 1970, Astrophys. J. 161, 903.Google Scholar
Murray, C. A. and Sanduleak, N.: 1972, Monthly Notices Roy. Astron. Soc. 157, 273.Google Scholar
Oort, J. H.: 1960, Bull. Astron. Inst. Neth. 15, 45.Google Scholar
Ostriker, J. P.: 1973, A.A.S. Warner Prize lecture (delivered at the January meeting in Las Cruces, N.M.).Google Scholar
Ostriker, J. P. and Bodenheimer, P.: 1973, Astrophys. J. 180, 171.Google Scholar
Ostriker, J. P. and Peebles, P.J.E.: 1973, Astrophys. J., 186, 467.CrossRefGoogle Scholar
Shu, F. H.: 1968, Ph. D. Thesis, Harvard University.Google Scholar
Toomre, A.: 1964, Astrophys. J. 139, 1217.Google Scholar
Toomre, A.: 1969, Astrophys. J. 158, 899.Google Scholar
Toomre, A.: 1972, Quart. J. Roy. Astron. Soc. 13, 241.Google Scholar
Vandervoort, P. O.: 1970a, Astrophys. J. 161, 87.Google Scholar
Vandervoort, P. O.: 1970b, Astrophys. J. 162, 453.CrossRefGoogle Scholar
Weistrop, D.: 1972, Astron. J. 11, 849.CrossRefGoogle Scholar