1. Jeff Stuart 2/14/2008 Dynamics and Controls Spin Stabilization of Third Stage
AAE 450 Spring 2008 1

2. Set-Up and Assumptions
Axisymmetric about
Distance between cg and cm negligible
Out of atmosphere (no drag)
Constant mass flow rate
Uniform density
No initial spin cm S
3rd Stage
2nd Stage
Spin Table
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Dynamics and Controls

3. Future Work Further investigate spin and thrust vector control 3
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Dynamics and Controls

4. Simplified EOMs Kinematic relations developed by A. Chaney 4
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Dynamics and Controls

5. Spin rate in terms of time
Solution Derivation – Spin-up before engine ignition
Spin rate in terms of time
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Dynamics and Controls

6. Scaled Vanguard Data From C. Strauss 6 Dynamics and Controls
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Dynamics and Controls

7. References
Schmidt, James. “Performance of X 258 Third-Stage Motor on Delta 36 (OT-3)”. NASA Report. July 1967
GPS IIR-12 Media Kit. The Boeing Company. 6/6/2005
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Dynamics and Controls