Impulsive halo transfer trajectory design around SEL1 point with multiple constraints

Many plans have been proposed which aim to take advantage of the growing scientific interest in the region of space near Sun-Earth/Moon libration points. This paper provides a method to design transfers from LEOs to Sun-Earth/Moon L1 halo orbits with multiple constraints, which include orbital radius, orbit inclination, right ascension of ascending node (RAAN) and track angle. The methodology includes differential correction and initial value expression that deal with the initial guesses of differential correction. Meanwhile, in view of multiple solution problems of RAAN in different maneuver epochs, a relationship between the epoch variable and multiple constraints is introduced to guarantee convergence of the algorithm. Finally, using the methodology, the impulsive transfer trajectory from a 200 km Earth parking orbit to SEL1 point orbit is designed with multi-restriction. Additionally, finding solution with launches in different RAAN is obtained to reveal the transfer characteristic.