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首页> 外文期刊>Journal of guidance, control, and dynamics >Collinear Three-Craft Coulomb Formation Stability Analysis and Control
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Collinear Three-Craft Coulomb Formation Stability Analysis and Control

机译：共线三工艺库仑形成稳定性分析与控制

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摘要

Coulomb forces associated with charged close-flying satellites can efficiently enable static formation equilibria, in which separation distances remain constant. However, limited Coulomb force controllability presents many challenges in maintaining and maneuvering these inherently unstable formations. This paper studies three-craft collinear equilibria, admitted in the presence of a central body gravity field. Necessary existence conditions for this class of Coulomb formation are given in previous research, and this paper extends these to be sufficient, while using a more accurate Coulomb force model. Stability properties of the resulting configuration cases are analyzed for the first time, and it is shown that each can exhibit marginal stability normal to the orbit plane. Also, it is demonstrated that in-plane perturbations can be asymptotically stabilized, using only craft charging, for the radially aligned configurations. A charge feedback law is derived for this case, and numerical results are provided. These stability and controllability properties correlate with those, previously known, for two- and three-craft (in the absence of gravity) formations. Lastly, invariant manifolds are generated to illustrate dynamic properties of these systems, and the possibility of exploiting the manifold flows to target minimum fuel reconfigurations (shape changes), is discussed.
机译：与带电近距离飞行卫星相关的库仑力可以有效地实现静态编队平衡，其中分离距离保持恒定。然而，有限的库仑力可控性在保持和操纵这些固有的不稳定地层方面提出了许多挑战。本文研究了存在中心重力场的情况下的三飞行器共线平衡。在先前的研究中已经给出了此类库仑形成的必要存在条件，并且本文将其扩展为足够，同时使用更精确的库仑力模型。首次分析了产生的构型情况的稳定性，结果表明每种构型都可表现出垂直于轨道平面的边际稳定性。而且，已经证明对于径向对准的构型，仅使用手工装料就可以渐近稳定面内扰动。推导了这种情况下的电荷反馈定律，并提供了数值结果。这些稳定性和可控制性特性与两架和三架飞机（在没有重力的情况下）的地层相关。最后，生成了不变的歧管以说明这些系统的动态特性，并讨论了利用歧管流来实现最小燃料重新配置（形状变化）的可能性。

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