Abstract:

Near linear halo orbit is a typical mission orbit for spacecraft in cislunar space. Due to the unique dynamic characteristics, the long-term stable and low-energy maintenance orbit that covers the spacecraft full life is required in engineering. To address key challenges such as NRHOs’ sensitivity to initial parameters and their tendency to diverge after multiple revolutions under high-precision dynamic model, a long-term NRHO design method based on multiple-shooting segmentation is proposed. The core idea involves dividing the orbit into several segments that can be converted into anephemeris model using the multiple-shooting technique, and then gradually stitching them together to form a complete long-term reference orbit in the ephemeris model. Furthermore, a low-energy maintenance control strategy based on the target-point method is employed to analyze the long-term station-keeping cost, thereby enabling performance evaluation of the designed orbit. The simulation analysis of L1 and L2 scenarios shows that the generated nearly linear halo orbit can last for more than 15 years, and the annual orbit maintenance cost is acceptable in engineering. The proposed design method is applicable for the generation of long-term near linear halo orbits in cislunar space L1 and L2, meeting the requirements of spacecraft full life orbit design.

Key words: cislunar space, ephemeris model, near rectilinear halo orbits, multiple shooting, orbit design