Particle Swarm Optimization Applied to Coplanar Orbital Transfers using Finite Variable Thrust

摘要

This article proposes a new approach to accomplish the mission of orbital transfer using the two finite variable thrusts. This problem requires attaining the two optimal time histories of the acceleration in the each thrust arc, which can be expressed as a polynomial function of time, and taking the corresponding coefficients as potential solutions can be obtained by using the particle swarm optimization technique. Furthermore, combining with penalty function method to solve the trajectory terminal constraints problems make final states completely free without and with rendezvous problem. Then, the optimal values of all the unknown parameters of the problem under considering the minimum fuel-consumption are obtained. Both the initial and final states of the trajectory are considered with unknown and known. In order to avoid collision with on-orbit spacecraft at the final orbit, the transfer trajectory should not be intersection with the final orbit except the final states. Finally, for the four trajectories optimization problems, the numerical results shown that the minimum-fuel can be obtained by considering the unknown or known coast arc.