Daniel Chua 18 January 2008 Trajectory Simulation Simulation Assumptions – Flat Earth and Constant Thrust AAE 450 Spring 2008

Trajectory Simulation – Flat Earth Linear Tangent Steering Law assumes a Flat Earth – constant g. Simulation inputs taken from Vanguard report. Constant Thrust Constant Mass Flow With/without decreasing g ~3% difference AAE 450 Spring 2008 Trajectory Optimization

Trajectory Simulation – Constant Thrust Vanguard report only gives average thrust for each stage Engines actually take some time to ramp up/down Thrust Profile model: Future Work Run constant/variable thrust models Compare AAE 450 Spring 2008 Trajectory Optimization

Thrust Profile Model (Backup) One-eighth of burn time used to ramp up/down Linear ramp Constant peak thrust Average thrust for each stage same as Vanguard References Klaurans, B., “The Vanguard Satellite Launching Vehicle” The Martin Company, Engineering Report No. 11022, April 1960 AAE 450 Spring 2008 Trajectory Optimization