This template This paper investigates the optimal cluster flight orbit design issue for the fractionated spacecraft according to three main goals: keeping the cluster as stable as possible, preventing the collisions within the cluster, maintaining the inter-satellite distance within the maximum region. Firstly, the relative orbital elements are adopted to describe the relative motion. Then, the formation design requirements are formulated in terms of the relative orbital elements, the

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... d optimization problem is solved using the hybrid particle swarm optimization algorithm integrated with sequential quadratic programming local search. The simulation results show that the hybrid PSO-SQP algorithm is effective.