The ellipsoidal variables

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Eclipsing Binary Stars, Light Curve, Stellar Orbits, Stellar Spectrophotometry, Variable Stars, Ellipticity, Radial Velocity

Scientific paper

The existing database on ellipsoidal, short period binary star systems is examined analytically. The survey covers 27 binaries with periods of no more than 10 days. It is shown that binaries with periods of no more than 5 days are separated by no more than five times the sum of their radii, indicating that tidal interactions are nonnegligible. Further calculations demonstrate that most short period systems will synchronize their orbits during the Main Sequence, then evolve to circular orbits in the sub-giant phase. The distortions which can be expected along the centerlines of stars in the Main Sequence is described analytically, noting that the distortion takes the form of an expansion into the Roche lobe. The models are used to generate light curves for suspected ellipsoidal variables, e.g., beta Lyrae, with satisfactory results. Similarly, the spectroscopic signatures of ellipsoidal systems exhibit dual peaked features which vary, a characteristic which can also be understood in terms of the filling of the Roche lobe.

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