Roche model is a fundamental and important model for studying the binary system.This model is simple and based on two assumption:(1)The components are spherical stars.(2)The systemis in uniform rotation.Owing to the confusion of uniform rotation in the Roche model,this leads to wrong result.The spin and orbital rotation are analysed in the binary system.Comparing some potential functions derived from some papers,we have derived of a proper potential function for the Roche mode.Furthermore, three components of the effective gravitational acceleration is simulated on the surface of the primary. The results imply that the effective gravitational acceleration at the points and is not equal.However,the tidal forces are equal in these points.This result is ascribed to the high-order potential of the secondary.
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王靖洲. 洛希模型势函数研究[J]. 科学技术与工程, 2010, (25): . wang jingzhou. The study of potential functions of Roche model[J]. Science Technology and Engineering,2010,(25).