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

Figure 14

Earth-Moon system 𝐶=3.17212; manifold trajectory connects to the black arc that departs from 200-km altitude Earth orbit; lunar periapsis at 100-km altitude; asymptotic approach to 𝐿₁ Lyapunov orbit.

(a) Arrival contour Γ^𝑈_𝐿1,1 and points within the lobe Π_𝐿^𝑡−_1,1 colored in terms of overlaps with regions Π_𝐿^𝑡+_1,1→6 as determined from contours Γ^𝑆_𝐿1,1→6. A periapse point is selected (red dot) and the trajectory computed in forward and backward time from that periapsis (in gold)

(b) Earth departure as a result of a maneuver from a 200-km circular parking orbit onto the black arc that intersects an 𝐿₁ Lyapunov orbit manifold

(c) Zoom: close pass by the Moon and approach to the Lyapunov orbit