We study the reorientations of flexible spacecraft using momentum exchange devices. A new concise form of the equations of motion for a spacecraft with gimbaled momentum wheels and flexible appendages is presented. The derivation results in a set of vector nonlinear first order differential equations with gimbal torques and spin axis torques as the control inputs. Feedback control laws which result in smooth reorientations are sought with the goal of minimizing structural excitations. We pay special attention to a class of maneuvers wherein the magnitude of the momentum in the wheel cluster is held constant, resulting in a so-called “stationary platform maneuver. “ The advantage of this maneuver is that the platform angular velocity remains small throughout, thereby reducing the excitation of the appendages.

中文翻译：

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使用万向节动量轮的灵活航天器重定向

我们研究了使用动量交换装置对挠性航天器的重新定向。提出了一种具有万向节动量轮和柔性附件的航天器运动方程的简洁形式。该推导得到一组矢量非线性一阶微分方程，其中以常平架转矩和自旋轴转矩为控制输入。为了使结构激励最小化，寻求导致平滑重新定向的反馈控制定律。我们特别注意一类操纵，其中轮组中的动量大小保持恒定，从而导致所谓的“固定平台操纵”。这种操作的优点是平台角速度始终保持很小，从而减少了附件的刺激。