In Brecht et al. [1995> shock acceleration was proposed to explain the enhanced synchrotron radiation levels that followed the impact of SL-9 on Jupiter. This paper present preliminary estimates of the expected synchrotron radiation levels following a fragment impact. The estimates rely on an analytic description of the diffusive shock acceleration and compare favorably with radio telescope data. The agreement between the calculations and data add support to the idea that the shock acceleration process may have been operative in the Jovian magnetosphere. ¿ American Geophysical Union 1995