1998 - Draper Laboratory

Crossrange (Kft)10090807060504030Closed-Loop Optimal GuidanceOpen-Loop Optimal TrajectoryAcceleration(ft/s*s)12.51211.51110.5109.59Closed-Loop Optimal GuidanceOpen-Loop Optimal Trajectory201000 50 100 150 200 250 300 350 400 450 500Downrange (Kft)Figure 1. Horizontal trajectory profile.8.580 50 100 150 200 250 300 350 400 450 500Time (s)Figure 4. Acceleration magnitude for Γ = 0.5014Altitude (Kft)45403530252015Closed-Loop Optimal GuidanceOpen-Loop Optimal Trajectoryx-accelerationy-acceleration1210860 50 100 150 200 250 300Time (s)1050-5-100 50 100 150 200 250 300Time (s)1010500 50 100 150 200 250 300 350 400 450 500Downrange (Kft)z-acceleration86420 50 100 150 200 250 300Time (s)Figure 2. Vertical trajectory profile.Figure 5. Components of acceleration for Γ = 100.x-acceleration1510500 50 100 150 200 250 300 350 400 450171615Closed-Loop Optimal GuidanceOpen-Loop Optimal Trajectoryz-acceleration y-accelerationTime (s)50-50 50 100 150 200 250 300 350 400 450Time (s)86420 50 100 150 200 250 300 350 400 450Time (s)Figure 3. Components of acceleration for Γ = 0.Acceleration(ft/s*s)141312111090 50 100 150 200 250 300Time (s)Figure 6. Acceleration magnitude for Γ = 100.An Optimal Guidance Law for Planetary Landing6