Sensitivity Analysis of Initial Error for the Trajectory to the Sun-Earth Libration Point

Abstract

The sensitivity of initial error for the transfer trajectory from lunar orbit to the Sun-Earth libration point orbit was calculated and analyzed. First, the short and long transfer trajectories for this kind of transfer issue were proposed. Then, the mathematical relation between initial error and terminal derivation was built. The relation is found to be linear by numerical calculation. Finally, the reason why the linear relation existed and its applicable conditions were explored by the first-order variation expression of initial error and terminal derivation. The result indicated that the long transfer is more sensitive to initial error than short transfer and that the applicable conditions for long transfer is stricter.

Keywords

Sun-Earth libration point / Sun-Earth-Moon system / sensitivity analysis