The solution of equations by seeking quasi-similar solution, in which the viscosity coefficient is taken to be at most a function of time but independent of space co-ordinates. an attempt is made to account for the material strength by including Newtonian- Viscosity term. In the present paper the characteristic method (Chester, Witham) is applied to obtain expressions of the density, the pressure, the particle velocity just behind the shock propagating in a rotating atmosphere. The effect of

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... iolis force is taken into account. Since the velocity effect has a tendency to smoothen out such discontinuities, the artificial viscosity coefficient suggested by Rithchmyer and Von Newmann is introduced. The problem is discussed for two different cases (i) for weak shocks and (ii) for strong shocks respectively.