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A graphical analysis-based search algorithm for the transfer orbit state sequence is presented to address the problem of high manual involvement when designing the transfer orbit for the Callisto orbiting mission using graphical analysis approaches. Through the analysis of graphical properties and resonance gravity assists, the variation pattern of orbit states is summarized, and an iterative search algorithm for solving the state transition sequence is proposed. The algorithm can obtain multiple transfer sequences rapidly and efficiently, as demonstrated by the simulation of the transfer orbit for the Callisto orbiting mission. The solution of the corresponding transfer orbits for the obtained sequences shows that the spacecraft can achieve the transfer from a Jovian highly elliptical orbit to the Callisto orbiting orbit within 2.13 years by consuming a velocity increment of 2.108 km/s, saving approximately 100-200 m/s of velocity increment and about 1 year of transfer time compared to other methods. The method proposed in this paper solves the problem of high manual involvement when using graphical analysis methods.
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