Low-thrust station-keeping control for lunar near rectilinear halo orbits

This paper studies a low-thrust station-keeping of near rectilinear halo orbits in the Earth–Moon quasi-bicircular dynamical model, and it is illustrated using resonant near rectilinear halo orbits as nominal orbits. The control laws considered use a dynamical reshaping strategy that cancels the unstable Floquet modes and stabilize the motion. Furthermore, asymptotic stabilization can be achieved adding the central Floquet modes into the reshaping procedure. Using the Jet Transport technique, the control laws can be explicitly given as high-order Taylor polynomials in terms of the deviation between the state of the spacecraft and the corresponding isochronous state. The explicit closed-form of the controller, obtained using Jet Transport, allows fast control acceleration computation, which could be also of interest for an onboard implementation. Moreover, the robustness of the station-keeping method is shown introducing orbit determination errors in both position and velocity.