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Capturing a spacecraft around a flyby asteroid using Hamiltonian-structure-preserving control

机译:使用哈密顿 - 结构保留控制捕获飞行的小行星周围的航天器

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The potentially hazardous asteroid is not only the target of planetary defense missions but also an ideal one for scientific exploration of near-Earth objects due to minimal launching budget during its close encounter with Earth. The flyby segment of asteroid shows to be hyperbolic in an Earth-centred inertial frame. To guide the spacecraft captured by the as-teroid under the common Earth's gravity, the Hamiltonian-structure-preserving (HSP) controller, based only on the feedback of relative positions, is constructed to transform the topological structure of the equilibrium point from hyperbolic to elliptic. On account of the small mass of flyby asteroid, a hyperbolic two-body model is used to derive the form of controller. The controller is also proved to work effectively in the hyperbolic three-body model. Critical control gains for both transient and long-term stabilities are investigated, as well as the controlled frequencies caused by different gains. To avoid collision with an asteroid, the artificial potential function (APF) is employed to improve the HSP controller. (C) 2020 Elsevier B.V. All rights reserved.
机译:潜在危险的小行星不仅是行星防御任务的目标,而且是由于在与地球关闭遭遇期间的最小发射预算期间,对于近地球对象进行科学探索的理想选择。小行星的飞行段显示在以地球为中心的惯性框架中是双曲线。为了引导由诸如普通地球的重力下由at-teroid捕获的航天器,仅基于相对位置的反馈的汉密尔顿 - 结构保存(HSP)控制器被构造成转变从双曲线到的平衡点的拓扑结构椭圆形。由于小型飞行小行星,一种双曲线二体型用于导出控制器的形式。控制器还证明在双曲三体模型中有效地工作。调查瞬态和长期稳定性的关键控制增益,以及由不同收益引起的受控频率。为避免与小行星碰撞,采用人工势函数(APF)来改进HSP控制器。 (c)2020 Elsevier B.v.保留所有权利。

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