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Inverse synthetic aperture radar (ISAR) imaging plays an important role in aerial target identification. However, traditional ISAR methods are based on rigid body dynamics, which cannot depict micro-moving parts, such as the rotating propellers of an aircraft. In this study, a novel wideband radar imaging algorithm is proposed to identify rapidly rotating objects. The proposed algorithm contains two key steps: the first involves the establishment of the algebraic equations based on the high-resolution range profile series. The second step consists of a solution for these equations, for which the authors provide the steepest descent iterative method as well as several improvements to enhance imaging quality. A few necessary preprocesses and potential challenging scenarios are also considered. The results are used from simulations and field data to exhibit the effectiveness and advantages of the proposed algorithm.