Design of Round Trip Trajectories to Lunar L1

Abstract

In this paper design of transfer trajectory from Earth park orbit to a halo orbit around L1 of Earth-Moon system and return trajectory from halo orbit to the Earth are investigated. Since satisfying constraints and boundary conditions at the end of trajectory is an important point in trajectory design, we deal with a two point boundary value problem. Considered constraints in this paper include height, orthogonality of position and velocity vectors for reducing required Del-V for orbital transfer and flight path angle. Due to complex dynamics of three body problem and also in order to satisfying these constraints and suitable trajectory design, the multiple shooting methods based on differential correction is used.

Keywords

• three body problem
• stable and unstable manifold
• design of round trip
• multiple shooting method