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

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

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

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

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. 11022, Baltimore, MD, April 1960. (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.  [http://www.astronautix.com/sites/capveral.htm.  Accessed 1/16/08.] Heister, S. “AAE 539,” Atomosphere4. [https://engineering.purdue.edu/AAE/Academics/Courses/aae539/2008/std.%20atmosphere%20matlab%20code%20for%20HW1%20Prob2]. AAE 450 Spring 2008 Trajectory Optimization