Abstract A low-jerk attitude guidance method is developed, based on an analytical smoothing of a bang-off-bang maneuver. A set of closed-form equations are derived and used to plan constrained low-jerk maneuvers, with prescribed boundary conditions, inertia, time and maximum control torque. The guidance law is first developed for one-dimensional and then three-dimensional rotations using two different approaches: (i) by designing a rotation about the Euler axis and (ii) by using the inverse kinematics equations. A generic model of the torque induced by a multi-body appendage is derived using the lumped-parameter method. This method can also be used to approximate the dynamic behavior of flexible appendages. The simulations results show that the smoothing techniques reduce the excitation of multi-body and flexible structures during a slew maneuver.

中文翻译：

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多体航天器结构的分析性低抖动重定向机动

摘要 开发了一种基于砰砰机动的解析平滑的低抖动姿态引导方法。一组封闭形式的方程被推导出并用于规划受约束的低抖动机动，具有规定的边界条件、惯性、时间和最大控制扭矩。首先使用两种不同的方法为一维和三维旋转开发引导律：(i) 通过设计绕欧拉轴的旋转和 (ii) 通过使用逆运动学方程。使用集总参数方法推导出由多体附件引起的扭矩的通用模型。该方法还可用于近似柔性附属物的动态行为。仿真结果表明，平滑技术减少了回转机动过程中多体和柔性结构的激励。