College - Author 1

College of Engineering

Department - Author 1

Aerospace Engineering Department

Degree Name - Author 1

BS in Aerospace Engineering



Primary Advisor

Kira Abercromby, College of Engineering, Aerospace Engineering Department


This document discusses a numerical analysis method for low thrust trajectory propagation known as the proximity quotient or Q-Law. The process uses a Lyapunov feedback control law developed by Petropoulos[1] to propagate trajectories of spacecraft by minimizing the user defined function at the target orbit. A simplified propagator is created from the core mechanics of this method in MATLAB and tested in several user defined cases to demonstrate its capabilities. Several anomalies arose in test cases where variations in eccentricity, inclination, right ascension of the ascending node, and argument of perigee were specified. Solutions to these anomalies are discussed and include development of a coasting mechanic and a new method for thruster angle selection.