The guidance method of differential game for orbiter under target maneuvering based on orbital elements

The rendezvous problem was analyzed by the guidance method of qualitative differential game for space vehicle while the target is maneuvering, based upon the perturbation equation of orbital elements. By taking into account of fuel assumption for rendezvous control process under radial thrust, we introduced the performance index for quantitative differential game into Hamiltonian function to resolve the guidance problems for maneuvering space vehicle for orbit approaching, and gave a set of theoretical solution, barriers and an example for simulation. From mathematically simulation it is verified that there are the barriers in the method for the target maneuvering.