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首页> 外文期刊>Acta astronautica >Detumbling and nutation canceling maneuvers with complete analytic reduction for axially symmetric spacecraft
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Detumbling and nutation canceling maneuvers with complete analytic reduction for axially symmetric spacecraft

机译：轴对称航天器的去噪和章动抵消演算及完全解析减少

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摘要

A new method is introduced to control and analyze the rotational motion of an axially symmetric rigid-body spacecraft. In particular, this motion is seen as the combination of the rotation of a virtual sphere with respect to the inertial frame, and the rotation of the body, about its symmetry axis, with respect to this sphere. Two new exact solutions are introduced for the motion of axially symmetric rigid bodies subjected to a constant external torque in the following cases: (1) torque parallel to the angular momentum and (2) torque parallel to the vectorial component of the angular momentum on the plane perpendicular to the symmetry axis. By building upon these results, two rotational maneuvers are proposed for axially symmetric spacecraft: a detumbling maneuver and a nutation canceling maneuver. The two maneuvers are the minimum time maneuvers for spherically constrained maximum torque. These maneuvers are simple and elegant, as they reduce the control of the three degrees-of-freedom nonlinear rotational motion to a single degree-of-freedom linear problem. Furthermore, the complete (both for the dynamics and for the kinematics) and exact analytic solutions are found for the two maneuvers. An extended survey is reported in the introduction of the paper of the few cases where the rotation of a rigid body is fully reduced to an exact analytic solution in closed form.
机译：引入了一种控制和分析轴对称刚体航天器旋转运动的新方法。特别地，该运动被视为虚拟球体相对于惯性框架的旋转与身体相对于该球体绕其对称轴的旋转的组合。对于在以下情况下承受恒定外部转矩的轴对称刚体的运动，引入了两个新的精确解：（1）平行于角动量的转矩和（2）平行于角动量的矢量分量的转矩。垂直于对称轴的平面。根据这些结果，提出了两种用于轴对称航天器的旋转操纵：降落操纵和章动抵消操纵。这两个操作是球形受限最大扭矩的最小时间操作。这些操作简单而优雅，因为它们将对三个自由度的非线性旋转运动的控制减少到单个自由度的线性问题。此外，还找到了两种操作的完整（动力学和运动学）和精确的解析解。在论文的前言中报道了一项扩展的调查，其中少数情况下，刚体的旋转被完全减小为精确的封闭形式的解析解。

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