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The minimum mass ratio of W UMa-type contact binaries-a new calculation
1School of Physics and Electronic Science, Guizhou Normal University, Guiyang, 550025, China. astronomy2015@foxmail.com.
Abstract:
A model is developed to establish the relationship between the critical gyration radius k of the primary component and the mass ratio (q) by considering the different dimensionless gyration radii of main-sequence stars with varying masses. The next step involves obtaining the low mass ratio limit ( for overcontact degree ~ 1) of W UMa-type contact binaries. Furthermore, the radial density distributions are estimated within the range of , based on the mass-radius relationship of main-sequence stars. Subsequently, the physical meaning of the minimum k value is proposed, which leads to an explanation for the cause of the minimum mass ratio. Finally, a stability criterion is proposed, which is based on both the mass ratio (q) and the total mass of the two components ( ).
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