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James Goppert Week 6: February 22 th , 2007

James Goppert Week 6: February 22 th , 2007. Aerodynamics: Reentry Optimization Dynamics and Control: Communication Satellite Orbits. Taxi Capsule Vehicle Reentry. Assumptions Delta V from HMO: 500 [m/s] TCV Total Mass: 30 [mt] (after Delta V burn from HMO) Landing close to equator

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James Goppert Week 6: February 22 th , 2007

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  1. James GoppertWeek 6: February 22th, 2007 Aerodynamics: Reentry Optimization Dynamics and Control: Communication Satellite Orbits Taxi Capsule Vehicle Reentry Goppert, 1

  2. Assumptions Delta V from HMO: 500 [m/s] TCV Total Mass: 30 [mt] (after Delta V burn from HMO) Landing close to equator Landing Speed Actual: 4.78 [m/s] Maximum : 6.7 [m/s] (15 mph) Propellant 2.85 [mt] Rocket Equation Prediction: 2.808 [mt] (Jamison) Taxi Capsule Vehicle Reentry Goppert, 2

  3. Constraints Max g load: 12g’s Hover Altitude: 300 [m] Time: 60 [s] Parachutes 1 High Mach Drogue 2 Low Mach Drogue 3 Main Chutes Taxi Capsule Vehicle Reentry Max g Load Main Drogue 1 Thrust Ignition Drogue 2 Goppert, 3

  4. Backup Slides James GoppertWeek 4: February 22th, 2007 Goppert, 4

  5. Landing Phase Goppert, 5

  6. Trajectory Goppert, 6

  7. Flight Parameters Goppert, 7

  8. Position Goppert, 8

  9. Parachute Parameters • First Drogue • Deployment Mach: 30 • Diameter: 1 [m] • Number: 1 • Second Drogue • Deployment Mach: 10 • Diameter: 8 [m] • Number: 2 • Main • Deployment Mach: 3 • Diameter: 22 [m] • Number: 3 Goppert, 9

  10. EOM’s • inertial position derivative • i_P_cmo_i = C_ib*V_cme_b + OM_ei_i*P_cmo_i • body velocity derivative • b_Vcme_b = (1/m)*F_at_b - (OM_bi_b + OM_ei_b)*V_cme_b + C_bi*g_i • body angular velocity derivative • b_O_bi_b = J_b_inverse*(M_at_b - OM_bi_b*J_b*O_bi_b) Goppert, 10

  11. Landing Conditional State Controller • Gains • hover p controller gain: k_th = 8e2; • landing gain k_ln = 1; • velocity p controller gain k_tv = 2.1e4; if t_hover==0 F_t_b = [0;0;0] elseif (t-t_hover)<t_hover_req F_t_b = k_th*[h_hover-h;0;0]-... k_tv*V_cme_b else F_t_b = k_ln*[0-h;0;0]-... k_tv*V_cme_b end Goppert, 11

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