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In this work we describe a genetic algorithm which is used in order to studyorbits of minor bodies in the frames of close encounters. We find that thealgorithm in combination with standard orbital numerical integrators can beused as a good proxy for finding typical orbits of minor bodies in closeencounters with planets and even their moons, saving a lot of computationaltime compared to long-term orbital numerical integrations. Here, we study closeencounters of Centaurs with Callisto and Ganymede in particular. We alsoperform n-body numerical simulations for comparison. We find typical impactvelocities to be between $v_{rel}=20[v_{esc}]$ and $v_{rel}=30[v_{esc}]$ forGanymede and between $v_{rel}=25[v_{esc}]$ and $v_{rel}=35[v_{esc}]$ forCallisto.

Analysis of close encounters with Ganymede and Callisto using a genetic n-body algorithm