Time-Varying Perturbation Model Identification in the Neighborhood of CR3BP Periodic Orbits

Abstract

The main focus of this work is to find a linear, time-varying model to capture the dynamics of periodic solutions in the vicinity of Lagrange points in the Earth-Moon system via position and velocity measurements. This is motivated by a need for station keeping in said orbits. Rather than finding a global model between input and output space, subspace methods for linear system identification will be utilized to find a subspace over which the unknown dynamics evolve. This identification method allows one to obtain a simplified linear model that deals with dominant dynamics of the system, and subsequently apply known control theory for station keeping.