1. Modeling
The study of an interplanetary mission is based on the concept of a sphere of influence and the decomposition of the trajectory into a succession of two-body problems. This section presents the definition of the sphere of influence and recalls the formulas of Keplerian motion, in particular for liberation orbits.
A spacecraft in M is subject to the attraction of two stars in C1 and C2. The three bodies, assumed to be point-like, are in gravitational interaction. The masses of C1, C2 and M are m1, m2 and m respectively. The positions of C1, C2 and M in a Galilean reference frame are noted
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