Duality-Based Near-Fuel-Optimal Impulsive Trajectory Computation for Spacecraft Rendezvous Under Perturbations

In this study, a novel impulsive trajectory optimization algorithm for near-fuel-optimal rendezvous under perturbations is presented. The algorithm, called (AIRTOP), designed such that the accuracy of constraints improved as much possible while retaining first-order optimality, high-fidelity dynamics models encompass various orbital (e.g., nonspherical gravity, air drag, luni-solar and solar radiation pressure). To eliminate constraint errors, AIRTOP solves linearized problem recursively using nonsingular dual-primal algorithm. improve computational efficiency, applies approximate analytical gradient error norm during its elimination process. We present three numerical simulations near circular elliptical orbits. simulation results show i) can successfully solve problems realistic with minimal user intervention, ii) it generate more fuel-efficient solutions in similar or shorter computation time than two other methods, namely, differential corrector General Mission Analysis Tool global approach, which also take complex into account.