The invention discloses a construction method and
system for a low-thrust
transfer orbit family between earth-moon translation point orbits, and belongs to the technical field of
aerospace. The method comprises the following steps: firstly, solving a
time optimal transfer orbit based on a continuous low-thrust
spacecraft motion equation; then taking the
orbit as a seed, performing forward and reverse phase
continuation along a departure
orbit and an arrival
orbit by adopting a self-adaptive step length numerical
continuation method, and generating a
time optimal transfer orbit family covering different phases; secondly, mapping the
time optimal orbit family into an energy optimal orbit
family based on control law consistency, and expanding the transfer
time range of the energy optimal orbit family through time
continuation; and finally, gradually reducing homotopy parameters by using a homotopy method, detecting and
processing thrust switching discontinuity in combination with a switching function, and converting the energy optimal orbit family into a fuel optimal transfer orbit family. According to the method, a continuous and complete orbit family is efficiently generated from a single solution, and systematicness and
engineering applicability of orbit design are improved.