Generalized Rotation

Abstract

A treatment of various phenomena associated with dynamical tides, as contained in the preceding chapter, is still insufficient for direct application to phenomena observed in close binary systems in one essential respect: namely, we have not yet taken account of the fact that the components constituting such systems rotate about one (or more) axes of the rectangular coordinates x, y, z with respect to which our fundamental equations of motion have been referred. In Chapter II the effects of rotation about one axis have been explored to quantities of third order in centrifugal force (sec. II-2). However, throughout Chapter III we regarded our fundamental set of coordinates x, y, z as representing an inertial system, devoid of systematic motion other than uniform translation; and the only allowance made for axial rotation in section III-4 was through Equation (3.78).