Abstract

Probabilistic study of angular motion dynamics has been performed for CubeSat nanosatellites with passive stabilization systems, including aerodynamic, aerodynamic-gravitational, gravitational, and gravitational-aerodynamic ones. Analytical functions of the maximum angle values distribution have been obtained for a nanosatellite axes deviation from required directions (orbital velocity vector or a local vertical) for uniform distribution and Rayleigh distribution of component values of the initial angular velocity vector. Formulas have been derived and nomograms have been plotted for selecting the design parameters (geometrical dimensions, static stability margin, moments of inertia) which ensure the required attitude with the specified probability in circular orbits.

中文翻译：

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具有被动稳定系统的CubeSat纳米卫星的设计参数选择

摘要

已经对具有被动稳定系统的CubeSat纳米卫星进行了角运动动力学的概率研究，包括空气动力学，空气动力学重力，重力和重力空气动力学系统。对于从初始角速度矢量的分量值的均匀分布和瑞利分布所需的方向（轨道速度矢量或局部垂直方向）偏离的纳米卫星轴，已经获得了最大角度值分布的分析函数。推导了公式并绘制了列线图，以选择设计参数（几何尺寸，静态稳定裕度，惯性矩），以确保所需的姿态并以指定的概率在圆形轨道上行驶。