Gauss Pseudospectral Transcription for Trajectory Optimization of Lunar Impactor

As all the world looks ahead to the next generation of human space exploration missions (the USA and Russia even plan to develop new program which will take humans back to the Moon by 2020, to Mars, and beyond), the lunar exploration has been one of the hottest field in the world. And some scientists presented lunar impactor missions. This paper proposes an solution for trajectory optimization for lunar impactor with multi constraints by the method of Gauss Psedospectural, and simulation results shows this method is feasible to improve the performance of lunar impactor.