中文摘要：

讨论了运载火箭的逃逸能量产生的初始速度增量对太阳帆最短时间交会问题的影响,将逃逸能量的影响处理为端点时刻状态方程受不等式约束的最优控制问题,利用间接法得到了对应的两点边值问题的求解模型.结果表明,利用该模型可以计算逃逸能量最佳的利用量,而最优的转移轨迹并非总是对应于最大的逃逸能量,因此合理利用逃逸能量能够有效缩短飞行时间.相对于一般的不考虑逃逸能量的太阳帆轨迹优化模型,本文中提出的模型能够有效利用末级火箭的助推能力,同时有效缩短了太阳帆的任务飞行时间,对于工程应用具有更实际的参考价值.

英文摘要：

The effect of the initial velocity increment by escape energy on the time-optimal rendezvous problem by solar sailing is discussed. The effect of escape energy is considered as the inequality constraints on the functions of the state variables specified at the initial time, and an indirect method is used to obtain the two-point-boundary-value-problem （TPBVP） associated to the optimal control model. The results indicate that the optimal control model can be used for calculating the best escape energy usage, and the optimal trajectory is not always obtained by using the largest escape energy. Thus, a rational utilization of escape energy can shorten the transfer flight time. The model in this paper can effectively utilize the late stage rocket booster ability; and effectively shorten the solar sailing mission time as well. Therefore, it is practical and valuable for engineering application.