The restricted four-body problem and Epsilon Aurigae

Statistics – Computation

Scientific paper

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Auriga Constellation, Eclipsing Binary Stars, Four Body Problem, Stellar Models, Celestial Mechanics, Stellar Envelopes, Stellar Luminosity

Scientific paper

Two recent papers have suggested that a close binary is to be found at the center of the Epsilon Aurigae disk. This idea gives a reason for the existence of the central opening required by the Wilson thin disk model, as well as helping to explain a serious underluminosity problem. It also gives a natural explanation for the lack of coincidence of the disk plane with the wide binary orbit plane, as required by the thin disk model. The computational experiments needed to establish the essential dynamical properties of the disk involve the solution of a restricted four-body problem, analogous to the classical restricted three-body problem. The results permit an estimation of the inner binary separation. They also show that the inner binary orbit plane is the preferred plane for disk particles, and that any warping of the disk plane is too small to have significant photometric consequences.

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