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Project Overview

This course paper studies stability and station-keeping near the Earth-Moon $L_2$ point using the planar Circular Restricted Three Body Problem (CRTBP). It examines a planar Lyapunov orbit from a control theory perspective, shows the instability of $L_2$ Lyapunov orbits, and demonstrates how a simple linear closed-loop controller can counter large perturbations to keep the spacecraft within a specified flight envelope.