The Jupiter Icy Moons Orbiter (JIMO) is proposed by NASA as the next step in the exploration of the Jovian system following the successful Galileo project. JIMO would use nuclear-electric propulsion to deliver a highly capable scientific payload to Jupiter and go into orbit around Europa, Ganymede, and Callisto, and to conduct investigations of the Jovian system. In early 2003, a NASA Science Definition Team (SDT) was appointed to develop the scientific rationale and priorities for JIMO. The SDT, co-chaired by T. Johnson and R. Greeley, consisted of 38 scientists representing the broad scientific potential afforded by JIMO.This article summarizes the principal findings of the SDT.