Optimal pulse trajectories of direct transfer to the $L_3$ libration point in the restricted planar circular three-body problem in the Sun-Earth system

To find optimal two-pulse solutions for direct transfer from the 185.2-km satellite orbit to the Ls collinear libration point, a restricted planar circular three-body problem in the Sun-Earth system is studied. Two trajectory families, "fast" and "slow", are found. For both families, in order to test the feasibility of applying a third pulse for further optimization, the absolute values of Lawden's basis vector are calculated.