粒子群最適化と不変多様体による月遷移軌道の解析

抄録

In recent space missions, methods utilizing invariant manifolds attract attention in designing low-energy transfer trajectories from the Earth to the Moon. However, these trajectories generally require long transfer times, and the relation between transfer times and the phase-space geometry of invariant manifolds is not fully understood. In this study, we apply particle swarm optimization to search for transfer trajectories of shortest possible times from the Earth to the Moon in the planar circular restricted three-body problem. The resulted transfer trajectories effectively utilize phase-space flows associated with invariant manifolds of Lyapunov orbits and resonant orbits. Specifically, the resulted trajectories are classified into no-transfer trajectories, transfer trajectories utilizing invariant manifolds of both Lyapunov and resonant orbits, and those utilizing invariant manifolds of Lyapunov orbits only, depending on the initial distance from the Earth.