Effects of overtaking disturbances behind the flow have been included in CCW^1-3 approach for the motion of diverging cylindrical shock in a self-gravitating rotating gas, simultaneously for weak and strong cases. Taking initial density distribution (i)  and  (where r' is the density at the axis of symmetry, 'l' is a non-dimensionalising constant and w is a constant), the analytical expressions for flow variables have been derived representing Free Propagation(CCW Description) and eod on CCW^1-3 results. Permissible shock front locations have been obtained ensuring the validity of this study for density increasing and decreasing regions, as well.

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