Application of Periapse Maps for the Design of Trajectories Near the Smaller Primary in Multi-Body Regimes

Figure 13

Arrival through the Sun-Saturn 𝐿₁ gateway; periapsis selected to yield a trajectory that remains in the 𝑃₂ vicinity for an extended time.

(a) Sun-Saturn system 𝐶=3.0174; arrival contour Γ^𝑈_𝐿1,1 overlaps with contours Γ^𝑆_{𝐿1,1→𝑚}; escape periapses colored by time to escape

(b) Selection of arrival periapsis in deep blue region results in a path that remains in the vicinity of 𝑃₂ for over 1000 years