Temperature and brightness distribution in the components of binary systems

Astronomy and Astrophysics – Astronomy

Scientific paper

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Binary Stars, Brightness Distribution, Gravitation, Temperature Distribution, Equipotentials, Gravitational Fields, Hydrostatics, Legendre Functions, Polar Coordinates, Roche Limit

Scientific paper

From the theoretical model of a binary system for gravity darkening (Barman 1991), the temperature and brightness distributions along the surface of the components have been calculated using the third and fourth orders of the ratio (r/R) in the tidal potentials created by the secondary components, where r is radial distance and R the distance between the centers of gravities of the binary stars. Results of both distributions have been presented in seven figures. On analyzing the results, it has been suggested that if the expansion technique be used to calculate the combined potentials and related matters e.g. the temperature and brightness distributions of a binary system, one should at least consider the fourth order of the ratio (r/R).

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