1. AAE 450 Spring 2008 Jeffrey Stuart January 17, 2008 Dynamics and Control Initial Inertia Matrix and Launch Scenario Considerations

2. Basic Inertia Matrix Image credit: Michael Walker Assumptions: constant mass uniform density axisymmetric

3. AAE 450 Spring 2008 Launch Scenarios  Traditional Ground Launch –Active Steering: thrust vectoring, control surfaces –Passive Steering: gravity turn  Air Launch –Drop detachment –Thrust detachment  Assisted Ground Launch –Control of Launch Angle –Needs to withstand high accelerations: 30.1g Dynamics and Control Future Work  Develop Rigid Body Equations of Motion  Develop Steering Law

4. AAE 450 Spring 2008 References  Rockoon Sounding Rockets http://www.astronautix.com/lvs/rockoon.htm  SpaceShipOne http://www.astronautix.com/craft/spaipone.htm  Railgun Launching http://en.wikipedia.org/wiki/Railgun Dynamics and Control

5. Railgun Acceleration Calculation AAE 450 Spring 2008 Parameters: 400km orbitμ = 398600 km 3 /s 2 1km launch railR earth = 6356km Δv = 0.1*v circ (no Δv losses)constant acceleration Acceleration of 30.06g Dynamics and Control