Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976apj...209..536s&link_type=abstract
Astrophysical Journal, vol. 209, Oct. 15, 1976, pt. 1, p. 536-546.
Astronomy and Astrophysics
Astrophysics
71
Binary Stars, Stellar Structure, Discontinuity, Dynamic Stability, Stellar Envelopes, Stellar Models, Stellar Temperature, Thermal Diffusion
Scientific paper
The problem of the interior structure of contact binaries is reviewed, and a simple resolution of the difficulties which plague the theory is suggested. It is proposed that contact binaries contain a contact discontinuity between the lower surface of the common envelope and the Roche lobe of the cooler star. This discontinuity is maintained against thermal diffusion by fluid flow, and the transition layer is thin to the extent that the dynamical time scale is short in comparison with the thermal time scale. The idealization that the transition layer has infinitesimal thickness allows a simple formulation of the structure equations which are closed by appropriate jump conditions across the discontinuity. The further imposition of the standard boundary conditions suffices to define a unique model for the system once the chemical composition, the masses of the two stars, and the orbital separation are specified.
Anderson Lauren
Lubow Stephen H.
Shu Frank H.
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