Structures and oscillations of rotationally and tidally distorted polytropic models of stars in the presence of the Coriolis force

The problems of equilibrium structures and periods of oscillations of rotationally and/or tidally distorted polytropic models of stars in binary systems have been studied previously. In the studies, only the effects of gravitational and centrifugal forces while obtaining the Roche equipotential of such stars were considered. The Coriolis force were not considered. In the present study, we have included the effects of the Coriolis force also. The objective of this study is to investigate as to how the inclusion of the Coriolis force in the Roche equipotential affects the equilibrium structures and periods of oscillations of rotationally and/or tidally distorted stars. The results of our study show that the Coriolis force has no appreciable effect on the equilibrium structures and periods of small oscillations of polytropic models of stars in binary systems. The present study also confirms the earlier conclusions that uniform rotation decreases the eigenfrequencies of various modes of oscillation.