AN EFFICIENT COMPUTATIONAL APPROACH TO MINIMUM-FUEL LOW-THRUST NON-COPLANAR ORBIT TRANSFER

作者：Gu Da Ke^*; Sun Ling Fang

来源：Pacific Journal of Optimization, 2013, 9(3): 427-442.

• low-thrust orbit transfer
• optimal control
• control parametrization technique
• time scaling transform

In this paper, the optimal trajectories for non-coplanar circular-to-circular orbit transfer with a constant thrust of which the direction is controllable are solved. To circumvent the complexity of the purely numerical methods, an efficient computational method is proposed. By the control parametrization technique in conjunction with a time scaling transform, the optimal trajectories of non-coplanar orbit transfer problem is approximated by a sequence of optimal parameter selection problems. Each of these approximate optimization problems can be viewed as a nonlinear mathematical programming problem, and we develop a numerical scheme for computing the relevant gradients. On this basis, each approximate problem can be solved using existing gradient-based optimization techniques. Numerical results are presented for illustration.

• 出版日期2013-7
• 单位东北电力大学