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High-energy, multi-fly-by tours are a complex design task that typically arises in planetary moon tours, such as those of the Jupiterian or Saturnian systems. Inspired by this challenge, the 2022 edition of the Space Optimisation Competition (SpOC) organized by the Advanced Concepts Team included a problem involving a∆ V and time of flight optimization of a tour visiting the seven planets of the Trappist-1 star system. This work introduces the preliminary analyses and heuristics developed to tackle the multiobjective optimization problem, along with the results found for the Trappist-1 tour problem.