The problem of a spacecraft orbiting the Neptune–Triton system is presented. The new
ingredients in this restricted three body problem are the Neptune oblateness and the high
inclined and retrograde motion of Triton. First we present some interesting simulations
showing the role played by the oblateness on a Neptune's satellite, disturbed by Triton. We
also give an extensive numerical exploration in the case when the spacecraft orbits Triton,
considering Sun, Neptune and its planetary oblateness as disturbers. In the plane a× I (a …