The near optimal two-impulse analytical solution of on-orbit-servicing spacecraft for fly-around orbit reconfiguration

Focusing the optimal two-impulse transfer for flyaround orbit reconfiguration, an near optimal two-impulse analytical algorithm is presented by the CW Equation and its solution. To avoid the singularity aroused from the normal whole solving method by CW equations, the paper calculates the out-of-plane optimal algorithm and in-plane optimal algorithm respectively in the deduction process and then gathers them to obtain the whole solution. Compared with other traditional solutions, the consumed impulse of the analytical solution is very near with that of numerical solution and what's more, the consumed time is very little VS other algorithms. Thus, it's suitable for the onboard application of spacecraft. Finally, a simulation is carried out to validate the optimal algorithm.