Effect of perturbed potentials on the positions of Lagrangian collinear points and forms of the Roche lobes in close binary systems.

Astronomy and Astrophysics – Astronomy

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Close Binaries:Dynamics, Close Binaries:Stellar Models, Stellar Models:Close Binaries

Scientific paper

Four different types of models for close binary systems are presented in this paper, where perturbed potentials are given as a function of the oblateness factors A1 and A2 of the two components and the radiation factor Q. On the basis of the models, the effect of perturbed potentials on the positions of the Lagrangian collinear points and forms of the Roche lobes in close binary systems are discussed. Applying the analytical formulae to five real binary systems, the authors have performed numerical calculations for different values of the parameters and obtained positions of collinear points and the radii and volumes of the Roche lobes, respectively. The results have been compared with those for the cases with non-perturbation in potentials.

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