Orbital maintenance and control of spacecraft fly-around with finite-thrust

Based on the linear dynamics model, the relevant issues of orbital maintenance and control of spacecraft fly-around with finite-thrust was studied. Firstly, aimed at the problem of orbital control of spacecraft fly-around, the exact dynamics model was derived and the linear dynamics equation was presented. Secondly, based on the linear quadratic optimal control theory, the feedback control system for fly-around orbit was designed. To realize finite-thrust, a limited nonlinear function to restrict the control acceleration was presented. The numerical simulation show the control system has asymptotic stability, faster convergence rate and higher control accuracy. Lastly, from calculating the engine's working time of different relative position errors, estimate the cost of fuel for orbit control and maintenance.