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首页> 外文期刊>Journal of Guidance, Control, and Dynamics >Satellite Formation and Reconfiguration with Restricted Control Interval
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Satellite Formation and Reconfiguration with Restricted Control Interval

机译：限制控制间隔的卫星编排和重构

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EQUATIONS of the relative motion of two satellites with annelliptic reference orbit are nonlinear differential equationsninvolving the radius and true anomaly of the reference orbit. The line-narized equations around the null solution are known as Tschauner-nHempel (TH) equations [1] and contain periodic coefficients. Thusnthe derivation of the state transitionmatrix is not immediate. In earliernstudies [2–4], the true anomaly is used as independent variable,nwhich simplifies the resulting equations. Rendezvous problemswerenextensively studied using this representation [1,5]. Typical problemsnconsidered in the literature involve fixed-time and fixed-end condi-ntions and impulsive maneuvers, and the total velocity changenrequired for rendezvous isminimized. The direct study of the relativendynamics using time as independent variable was initiated by denVries [6], and a series expansion of the state transition matrix in theneccentricity was given by Melton [7]. A closed form of the statentransitionmatrix is recently derived byBroucke [8].Abrief history ofnelliptic rendezvous is also found in [8].
机译：具有圆环参考轨道的两颗卫星的相对运动方程是非线性微分方程，涉及到参考轨道的半径和真实异常。零解周围的线状方程称为Tschauner-nHempel（TH）方程[1]，包含周期系数。因此，状态转换矩阵的推导不是立即的。在较早的研究中[2-4]，真实的异常被用作自变量，从而简化了所得方程。使用这种表示法对交会问题进行了广泛的研究[1,5]。文献中考虑的典型问题包括固定时间和固定端条件以及冲动操作，并且会合所需的总速度变化最小。 denVries [6]发起了以时间为自变量的相对动力学的直接研究，而Melton [7]给出了状态转移矩阵在偏心率上的一系列展开。布鲁克（Broucke）[8]最近导出了一个封闭形式的statentransition矩阵。[8]中也发现了椭圆形集合点的简短历史。

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