Invariant Manifolds and Orbit Control in the Solar Sail Three-Body Problem
Invariant Manifolds and Orbit Control in the Solar Sail Three-Body Problem
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DOI：
10.2514/1.32292
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发表时间：
2008-05
影响因子：
2.6
通讯作者：
T. Waters;C. McInnes
中科院分区：
文献类型：
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作者：
T. Waters;C. McInnes
在本文中，我们考虑圆形受限地球-太阳系统中太阳帆的控制和轨道转移问题。该系统中太阳帆的固定点具有与中心交叉的鞍座的线性动力学特性；因此，固定点是动态不稳定的，需要控制。自然的控制机制出现了：帆方向的变化。我们描述了一个最优控制器来控制帆在固定点和围绕固定点的周期性轨道上。我们发现这个控制器非常鲁棒，并且我们使用球坐标定义初始数据集来了解可控性域；我们还进行了一系列控制周期轨道的测试。然后，我们提出一些任务策略，涉及从地球到固定点和周期性轨道的转移，以及涉及地球两侧固定点之间的受控异宿转移。最后，基于中心流形定理的考虑，我们提出了一些在传统方法失效的情况下寻找周期轨道的新方法。
In this paper, we consider issues regarding the control and orbit transfer of solar sails in the circular restricted Earth-sun system. Fixed points for solar sails in this system have the linear dynamic properties of saddles crossed with centers; thus, the fixed points are dynamically unstable and control is required. A natural mechanism of control presents itself: variations in the sail's orientation. We describe an optimal controller to control the sail onto fixed points and periodic orbits about fixed points. We find this controller to be very robust, and we define sets of initial data using spherical coordinates to get a sense of the domain of controllability; we also perform a series of tests for control onto periodic orbits. We then present some mission strategies involving transfers from the Earth to fixed points and onto periodic orbits and involving controlled heteroclinic transfers between fixed points on opposite sides of the Earth. Finally, we present some novel methods for finding periodic orbits in circumstances in which traditional methods break down, based on considerations of the center manifold theorem.