In this paper we shall investigate the energy of close binary systems of constant momentum takng into consideration the first-order effects of rotation and tidal attraction of the components of finite size. The equations for the momentum and the energy of the system will be set up in Section 2, making use of terms including the effects of finite size of the components of finite degree of central condensation. In Section 3 perturbation theory is applied to these equations using the results of Kopal (1972b) as our initial values. In Section 4 we shall compare our results with the initial values and then discuss variations in our constants and the application to various real systems.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Alexander, M. E.: 1972, M. Sc. Thesis, Univ. of Manchester, unpublished.
Goldstein, H.: 1950,Classical Mechanics, Addison-Wesley, Reading, Mass.
Kopal, Z.: 1959, ‘Close Binary Systems’, (International Astrophysics Series 5), Chapman-Hall and John Wiley, London and New York.
Kopal, Z.: 1972,Astrophys. Space Sci. 17, 161.
Messiah, A.: 1961,Quantum Mechanics 2, North Holland Publ. Co. and John Wiley, Amsterdam and New York, pp. 685–721.
Motz, L.: 1952,Astrophys. J. 115, 562.
Russell, H. and Moore, C.: 1940,The Masses of the Stars, Univ. of Chicago Press, Chicago, pp. 90–116.
Sobieski, S.: 1970, in A. Slettebak (ed.),Stellar Rotation, D. Reidel Publ. Co., Dordrecht, p. 189.
Stakgold, I.: 1967,Boundary Value Problems of Mathematical Physics 1, The Macmillan Co., New York.
About this article
Cite this article
Haymes, W.E. Tidal evolution in close binary systems, III. Astrophys Space Sci 22, 165–192 (1973). https://doi.org/10.1007/BF00642831
- Perturbation Theory
- Binary System
- Real System
- Finite Size
- Close Binary System