Design method of safe fly-around trajectory based on retangular keep-out-zone

Based on the Hill equation, the design method of double-impulsive fly-around trajectory is given on the basis of retangular Keep-Out-Zone. Firstly, with dynamics model transformed, the relation of the variables of the model are deduced. On this basis, the theorem relevent to design method are proved, then safety restrictions are given, furthermore we can get run-of-mill design methods of safe fly-around trajectories between-V-bar direction and arbitrary directions in orbital plane. Lastly, this method is examined to be feasible by simulations about two kinds of typical fly-around trajectories, as well as simulation about fly-around trajectory between-V-bar direction and arbitrary direction.