论文部分内容阅读
本文把固定终止时间圆形轨道卫星交会最优化问题,推广到自由终止时间的情形。并根据工程的需要,提出了既考虑交会时间又节省推进剂的综合性最优化指标,从而得到了一个“自由终止时间两点边值问题”的数学模型。用经典的“牛顿迭代法”作为求解的理论基础,对地球同步轨道卫星交会的具体问题进行了计算和分析,得到了满意的结果。对某个特殊情况,得到了解析解。它可以作为一般情况下选取初值、定性定量分析数值结果的依据。
In this paper, the problem of the optimization of the satellite orbit of a fixed circular orbit is extended to the situation of free termination. According to the needs of the project, a comprehensive optimization index that considers both the rendezvous time and the propellant saving is proposed, and a mathematical model of “two-point boundary value problem of free-termination time” is obtained. With the classical “Newton iteration method” as the theoretical basis for solving the problem, the specific problems of the geosynchronous orbit satellite rendezvous are calculated and analyzed, and satisfactory results are obtained. For a special case, got analytic solution. It can be taken as the initial value under normal circumstances, the basis of qualitative and quantitative analysis of numerical results.