Optimum low thrust transfer between the collinear Lagrangian points

The optimum low thrust transfer between the collinear Lagrangian points L1 and L2 of the sun-earth system is discussed. Two types of low thrust trajectories, that is, power constant and thrust constant trajectories, were studied. In the former case, J-minimum trajectories were obtained, and, in the latter case, the fuel optimum trajectories with a coasting arc were sought together with the optimum steering programs as a function of the total mission time. From the study of impulsive transfers, two kinds of trajectories were identified, one with higher Delta v and the other with lower Delta v requirements. And a similar grouping exists for low thrust cases. Due to the weakness of the gravitational attractions, it is possible to travel between the two points within a reasonable mission time as compared with a high thrust impulsive case.