Optimized transfer trajectories in the earth-moon system

Investigations of low energy transfer trajectories are important for both celestial mechanics and astronautics. Methodologies using the theories from dynamical systems are developed in recent years. This paper investigates the dynamics of the earth-moon system. Low energy transfer trajectories are solved numerically by employing a hybrid strategy： first, a genetic hide and seek method performs a search in large domain to confine the global minimum f（η） （objective function） region; then, a deterministic Nelder-Mead method is utilized to refine the minimum quickly. Some transfer trajectories of the spacecraft in the earth-moon system are successfully simulated which verify the desired efficiency and robustness of the method of this paper.

Optimized transfer trajectories in the earth--moon system

Investigations of low energy transfer trajectories are important forboth celestial mechanics and astronautics. Methodologies using thetheories from dynamical systems are developed in recent years. Thispaper investigates the dynamics of the earth--moon system. Lowenergy transfer trajectories are solved numerically by employing ahybrid strategy: first, a genetic hide and seek method performs asearch in large domain to confine the global minimum $f({eta})$(objective function) region; then, a deterministic Nelder--Meadmethod is utilized to refine the minimum quickly. Some transfertrajectories of the spacecraft in the earth--moon system aresuccessfully simulated which verify the desired efficiency androbustness of the method of this paper.