On the interior structure of contact binaries and the light-curve paradox

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Eclipsing Binary Stars, Hydrodynamic Equations, Light Curve, Radiative Heat Transfer, Stellar Interiors, Stellar Luminosity, Stellar Structure, Baroclinity, Coriolis Effect, Eddy Viscosity, Ekman Layer, Navier-Stokes Equation, Stellar Envelopes, Stellar Rotation

Scientific paper

A simple, hydrodynamical model for energy transfer between the components of a contact binary is presented. The dominant feature of the model is the nonuniform heating of the base of the common envelope, which is due to the unequal emergent luminosities at the inner Roche lobes. Expansions in Roche coordinates are used to show how to obtain steady baroclinic solutions for both the large-scale flow and the temperature field. The baroclinic temperature field, which can be expanded in terms of Roche harmonics, is determined mainly by the 3D radiative transfer within the common envelope, the lateral flux being steadily maintained by the temperature differences on each Roche equipotential. The baroclinic model proposed provides a new way to resolve the light-curve paradox for the contact binaries while providing consistent interior structures.

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