Abstract

A technique of searching for optimal trajectories with gravity assisted maneuvers (GAMs) for interplanetary transfers of spacecraft (SC) with an electric propulsion system (EPS) is proposed. In this case, the indirect optimization method is used. A distinctive feature of this technique is the combination of optimality conditions at the point of GAMs within a single boundary value problem for two cases, when the height of the flyby hyperbola with the GAM is less than or equal to the maximum one. This approach makes it possible to considerably reduce the volume of necessary calculations in optimizing SC interplanetary trajectories that include GAMs. It considers end-to-end trajectory optimization with an analysis of the full set of optimality conditions at the point of the GAM. The efficiency of the proposed approach is demonstrated by the example of optimization of interplanetary trajectories from Earth to Mercury with a GAM in the vicinity of Venus and from Earth to Jupiter with a GAM near Earth.

中文翻译：

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低推力重力辅助机动优化行星际转移轨迹的技术

摘要

提出了一种利用重力辅助演算（GAM）搜索具有电推进系统（EPS）的航天器（SC）行星际转移的最佳轨迹的技术。在这种情况下，将使用间接优化方法。该技术的一个显着特征是，在两种情况下，当飞越双曲线与GAM的高度小于或等于最大值时，GAM的最优条件在单个边界值问题内的组合。这种方法可以极大地减少优化包括GAM的SC星际轨道所需的计算量。它考虑了端到端的轨迹优化，并在GAM点分析了整套最佳条件。