A Homotopic Convex Optimization Approach for Trajectory Design in Multi-Body Models

The Moon is poised to be a key focus in human space exploration, with numerous missions planned in the near future. Spacecraft missions in the cislunar region require optimized trajectory and mission design within complex multi-body models. We propose a sequential convex programming (SCP) approach for designing trajectories with impulsive maneuvers in multi-body models and transitioning them into an ephemeris model. We make use of a pulsating-rotating frame and a homotopic approach to enhance convergence. The high accuracy and robustness make SCP an excellent alternative to nonlinear programming solvers, even for highly nonlinear problems.