Critical equipotential surfaces in close binary systems

Details Critical equipotential surfaces in close binary systems Critical equipotential surfaces in close binary systems

Jul 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.124....5d&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 124, no. 1, July 1986, p. 5-25.

Physics

6

Binary Stars, Equipotentials, Roche Limit, Stellar Physics, Black Body Radiation, Equations Of Motion, Hydrogen, Lagrangian Equilibrium Points, Stellar Magnetic Fields, Stellar Rotation, Temperature Distribution

Scientific paper

An independent method for the examination of critical surfaces in close binary systems is proposed which is based on the assumption that the gas in the system is a perfect, barotropic fluid consisting of ionized hydrogen, possessing a magnetic field and a black-body radiation, controlled by the combined gravitation and temperature fields of the components, and in adiabatic equilibrium. The model with synchronous rotation of the components is described by hydromagnetic equations, and the statical case is represented by the equations of motion alone. The collinear equilibrium points, critical surfaces and the potential over them are found in terms of radiation pressure divided by gas pressure by using the potential functions. The permissible and forbidden areas for the gas motion are identified, disclosing new areas across which the gas flow can take place, and the possibilities of a shell forming around the individual components and the system as a whole are discussed. Changes in the geometry of the critical surfaces with increasing gas enthalpy and temperature are demonstrated.

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