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The Instability of Sub-Giants in Close Binary Systems

  • Zdeněk Kopal (a1)

Extract

I should like to open my subject by attempting to answer the following question: how many parameters are necessary and sufficient for a complete specification of the form of both components in close binary systems? Their shape should, in principle, be specified by the nature of forces acting on their surfaces, and (provided that the free period non-radial oscillations of both components are short in comparison with that of their orbits) their distortion should be governed by the equilibrium theory of tides. The level surfaces of constant density then coincide with those of constant potential, and the boundary of zero density becomes a particular case of such equipotentials.

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References

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1. For their tabulation cf. Kopal, Z., Jodrell Bank Ann. 1, 37 (1954) (Table V, col. 2).
2. Details of this process are being postponed for subsequent publication.
3. The material at the basis of this study is summarized in Table V of the Draft Report prepared by the writer on behalf of Commission 42 of the I.A.U. for the 9th General Assembly in Dublin, and will be published in the I.A.U. Transactions, vol. 9.
4. Cf. Kopal, Z., Jodrell Bank Ann. 1, 37 (1954) (Table I, col. 7).
5. This conclusion, announced by the writer at the sixth International Astrophysical Colloquium at Liège in July 1954 (cf. Communications presentées au sixième Colloque International d'Astrophysique, Liège, 1955, pp. 684–5), was independently arrived at by Crawford, J. A. [Ap.J. 121, 71 (1955)] on the basis of a statistical study of completely different material.
6. For fuller details cf., e.g., Moulton, F. R., An Introduction to Celestial Mechanics (6th ed., New York, 1939) chapter VIII, sec. 154.
7. These angles have been tabulated for different mass-ratios by Kopal in Jodrell Bank Ann. 1, 37 (1954) (Table III).
8. Struve, O., Ann. d'Ap. 11, 117 (1948); also Harvard Centennial Symposia (Harv. Obs. Mono. No. 7, Cambridge, 1948), pp. 211–30.

The Instability of Sub-Giants in Close Binary Systems

  • Zdeněk Kopal (a1)

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