1. Amanda Briden 1/17/08 APM, Trajectory Analyst Basic Trajectory Simulation and Steering Law
AAE 450 Spring 2008

2. Trajectory Simulation Theory
How do define the path it takes?
Stage 2 Steer Law
Stage 3 Steer Law
T|| v α
Stage 1 Steer Law
Stage 1 Vertical
Vanguard 100 lb Payload Simulation
Figure by: Amanda Briden
Where is it?
AAE 450 Spring 2008
Trajectory Optimization

3. Trajectory Simulation Output
Vradial
Vtangential
-Plots generated by: Amanda Briden
-Code generated by: Junichi Kanehara
Modifications by: Amanda Briden
-Thank you to Kevin Kloster for your time and help
AAE 450 Spring 2008
Trajectory Optimization

4. Backup Slides Future Work
Incorporate: time varying T, earth gravity assist
Scale down simulation input values to model steering law for project payload
Methodical iteration scheme to optimize steering laws
Plot acceleration vs. t to get this to structures people
Get D&C output of position and velocity vectors in the inertial frame for entire profile
AAE 450 Spring 2008
Trajectory Optimization

5. References Trajectory Optimization AAE 450 Spring 2008
Howell, K., “AAE 340 Dynamics and Vibrations," Numerical Integration and Spherical Coordinates, Purdue University, West Lafayette, IN, 2007, pp. E13, A7.
Klauans, B., and Raughards, J., “The Vanguard Satellite Launching Vehicle An Engineering Summary," The Martin Company, Engineering Report No , Baltimore, MD, April (pp.170)
Kloster, K., and Longuski, J., Personal Conversation, January 12-16, 2008.
Longuski, J., “AAE 508 Optimization in Aerospace Engineering Lectures," Lecture #10, Purdue University, West Lafayette, IN, 2008, pp. 62.
Wade, M., “Cape Canaveral," Encyclopedia Astronautica.  [ Accessed 1/16/08.]
Heister, S. “AAE 539,” Atomosphere4. [
AAE 450 Spring 2008
Trajectory Optimization