1. AAE 450 Spring 2008 Albert C Chaney 06 March 2008 Dynamics and Control 200 g Case Thanks to D&C Team (Mike, Alfred, Adam, Jeff)

2. AAE 450 Spring 2008 Recap and Spline for 145% Case Alfred did Monte Carlo Adam did 1kg 115% case I’m presenting 200g 145% case 5kg 125% case to come Group Name (D&C) Lower Trajectory’s desired angle to allow for drift time needed in changing the steering angle Found without using deviations Attempts to find average so that low deviations do not drop trajectory below 300 km

3. AAE 450 Spring 2008 Results 200g 145% Case  Periapsis: 314.66 km  Eccentricity: 0.2  Apoapsis: 3650.4 km Group Name (D&C) Future Work  Raise periapsis so that there is more chance for Monte Carlo to work  Optimize gains to increase chance of Monte Carlo survival  Run Monte Carlo Simulations

4. AAE 450 Spring 2008 Group Name (D&C) References: Entire Team (thanks) Trajectory People (codes) D&C People (codes) Everyone else you know what you did

5. AAE 450 Spring 2008 Backup Slides Equations: y = 2E-12x6 - 7E-10x5 + 9E-08x4 - 6E-06x3 + 0.0002x2 - 0.0014x + 3.1807 y = -2E-05x3 + 0.0053x2 - 0.56x + 20.434 y = 5E-06x2 + 0.0017x + 3.6121 y = -8E-17x + 4.5987

6. AAE 450 Spring 2008 Gains Used  Stage 1: P1 = [10000 0 0 ; 0 10 0 ; 0 0 10];  Stage 2: P1 = [1000 0 0 ; 0 0 0 ; 0 0 0];  Stage 3: P1 = [20000 0 0 ; 0 100 0 ; 0 0 100];

7. AAE 450 Spring 2008 Spline Change  Lowered all values after 142 sec and before 342.5 sec by 0.05 rad  Lowered all values after 342.5 sec by 0.5 rad  Subtracted 35 sec from times 342.5 sec to 346.5  Makes the flattening of third stage happen sooner