A search strategy that automatically halves the velocity correction and backtracks when differential correction iteration enters an erroneous region (integration reaches the fixed time limit without satisfying the flight path angle constraint). In the strongly nonlinear phase space around Halo orbits, standard differential correction tends to diverge or converge to large-impulse trajectories. Backstepping search progressively reduces the correction step size until the iteration escapes the erroneous region and finds a solution satisfying the termination condition, improving convergence robustness

Author: Tianjiang Shuo
Website: https://cislunarspace.cn

Definition

This concept has important application value in cislunar space research and mission design.