标题： 不平衡部分自旋航天器的姿态运动 显示英文标题

标题： Attitude Motion of Unbalanced Partial-Spin Spacecraft

摘要： 本文专注于具有不对称航天器平台和不平衡转子的航天器系统的姿态运动。 通过摄动展开，航天器动力学方程简化为线性周期时变（LPTV）系统，并推导出角速度的解析解。 提出了一种新的稳定性准则，提供了对稳定性转换和动态行为的见解。 此外，对进动和章动的特征运动进行了分析研究，突显了它们对系统惯性特性依赖性。 进行了数值仿真以验证解析结果，在定义的操作范围内显示出良好的一致性，并提供了线性化的误差范围。 研究结果加深了对不平衡部分旋转航天器动力学的理解，并为这类系统的设计和优化提供了实际指导。 显示英文摘要

摘要： This paper focuses on the attitude motion of spacecraft systems featuring asymmetric spacecraft platforms and unbalanced rotors. Through perturbation expansion, the spacecraft dynamic equation is simplified as a linear periodically time-varying (LPTV) system, and analytical solutions of angular velocities are derived. A novel stability criterion is proposed, providing insights into stability transitions and dynamic behavior. Furthermore, the characteristic motions of precession and nutation are analytically investigated, highlighting their dependence on system inertia properties. Numerical simulations are performed to validate the analytical results, showing excellent agreement within defined operational domains and offering error bounds for linearization. The findings advance the understanding of unbalanced partial-spin spacecraft dynamics and provide practical guidance for the design and optimization of such systems.