Research Article

Optimal Two-Impulse Trajectories with Moderate Flight Time for Earth-Moon Missions

Table 2

Lunar mission, counterclockwise LMO arrival, major parameters.

LMO altitudeModel Δ 𝑣 T o t a l Δ 𝑣 1 Δ 𝑣 2 𝑇 𝜃 𝐸 𝑃 ( 0 ) Feasibility
(km) (km/s) (km/s) (km/s)(days)(deg)

100 Patched-conic 3.8482 3.0655 0.7827 4.794 −115.723 Yes
Simplified PCR3BP 3.8758 3.0649 0.8109 4.564 −116.800 Yes
Classical PCR3BP 3.8777 3.0658 0.8119 4.573 −116.410 Yes
Miele and Mancuso [12] 3.876 3.065 0.811 4.37 −118.98

200 Patched-conic 3.8331 3.0654 0.7677 4.794 −115.750 Yes
Simplified PCR3BP 3.8614 3.0648 0.7966 4.562 −116.832 Yes
Classical PCR3BP 3.8634 3.0658 0.7976 4.571 −116.451 Yes
Miele and Mancuso [12] 3.862 3.065 0.797 4.37 −119.00

300 Patched-conic 3.8194 3.0654 0.7540 4.793 −115.777 Yes
Simplified PCR3BP 3.8483 3.0648 0.7835 4.560 −116.881 Yes
Classical PCR3BP 3.8502 3.0657 0.7845 4.569 −116.491 Yes
Miele and Mancuso [12] 3.849 3.065 0.784 4.37 −119.03