We focus on the dynamics of a small particle near the triangular points of the Sun-Jupiter system. To try to account for the e ect of Saturn (and to simulate in a more realistic way the Sun-Jupiter relative motion), we develop speci c models based on the numerical computation of periodic and quasi-periodic (with two fre- quencies) solutions of the planar three body problem Sun-Jupiter-Saturn and write them as perturbations of the Sun-Jupiter RTB
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