In order to explain the waves from the collisions of Comet Shoemaker-Levy 9 with Jupiter, we present a revised linear model in which the gravity wave propagation associated with the impacts is caused by an initial impulsive pressure at the surface of the Jovian atmosphere and the Jovian atmosphere itself is considered as a rotating stratified, incompressive and inviscid fluid layer.

Shallow layer approximation (and thence hydrostatic approximation) is assumed. In this case, a seperation of variables technique results in that the motion can be resolved into normal modes. For each normal mode, the variations in the horizontal and in time are the same as for a homogeneous fluid with an appropriate ``equivalent depth".

The waves involved in all modes are poincare waves. The dispersion properties and energetics of poincare waves are discussed. In the case that the Rossby radius a is much more larger than the wave length, the disturbance energy is approximately partitioned equally between the kinetic and potential forms.

It is shown that the initial displacement eta(r,0,0) of free surface and the initial vertical displacement h(r,z,0) of a fluid particle within the fluid can be expressed by the initial impulsive pressure p(r,z,0), and from which the potential energy can be calculated. An analytical formula relating the parameters of a comet fragment (the radius, density and speed), the parameters of Jovian atmosphere (depth and scale height) and initial impulsive pressure is derived.

the transient solution for surface displacement is also obtained and can be used to compare with the observation regarding the propagating behavior of the waves.