Control of chaos and fast periodic transfer orbits in the Earth–Moon CR3BP

We find sets of initial conditions leading to unstable periodic orbits in the Earth–Moon CR3BP, having values of the Jacobi constant - 1.59407 < h < - 1.58617 and periods shorter than 180 days, which perform periodic transfers around the primary masses. All of these initial conditions lie in the chaotic region of the problem, and some belong to stability islands inside it. We develop a realistic control algorithm allowing to stabilize the unstable periodic orbits over long periods, requiring very modest Δ v .