Abstract
This paper studies configuration design, relative navigation and control of non-cooperative flying-around mission $J_{4}$ -perturbed elliptic orbit. $J_{2}$ -perturbation is generally considered in most circumstances of satellites around the Earth, while the relative motion is under $J_{4}$ -pertuabation to achieve more precise results. The key problem of flying-around mission is orbital control, a more general method is established which considers remote maneuvers, reconfiguration, flying-around and escape. Based on the orbital control in the paper, the initial conditions of object and tracking satellite are as appropriate but not unique. The Extended Kalman Filter is introduced to enhance the robustness of relative navigation system in cases of noises and errors caused by the measurements. With the introduce of Extended Kalman Filter in relative navigation and $J_{4}$ perturbation in relative motion, simulation results of the flying-around mission configuration design are more persuasive.
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