The design of Earth-Moon transfer trajectory using Sun-Earth L1 libration point manifolds

The Sun-Earth L1 point manifolds have many advantages over L2 point manifolds when being used in the design of Earth-Moon transfer trajectory. First, the bi-circular model is introduced, the transformation of state vector between synodic coordinates is given, by choosing a suitable Poincare section, Sun-Earth L1 point manifold and Earth-Moon L2 point manifold are patched together. In order to minimize delta V cost at patching point, a novel section method is proposed, then parameterization method and Newton method are used to solve for the initial state vector in Poincare section. Finally, transfer trajectories designed by utilizing Sun-Earth L1 point manifolds and L2 point manifolds are compared, the result shows that transfer trajectory based on L1 point manifolds has lower fuel consumption and shorter time of flight.