Quasi Halo Orbit Design in Full Ephemeris Model

Abstract

A method of designing the quasi Halo orbits in the full ephemeris model, which can be applied in both the earth-moon system and sun-earth system, is presented. In the design process, a Halo orbit designed in the restricted three-body model is taken as initial guess, and then a multiple shooting method is used to design in the full ephemeris model. A new feasible constraint condition is given. By numerical simulations, the quasi Halo orbits with four circles are both obtained about one minute for the earth-moon system and sun-earth system respectively, showing the effectiveness of the present algorithm.

Keywords

full ephemeris model / shooting method / Halo orbit / orbit design