外扰力矩作用下附三转子航天器混沌动力学分析

ANALYSIS ON CHAOTIC ATTITUDE DYNAMICS OF SPACECRAFTWITH THREE ROTORS SUBJECTED TO EXTERNALPERTUBRATION TORQUES

研究外部扰动力矩作用下航天器的混沌姿态运动,引入Deprit正则变量建立系统的Hamilton结构.应用Melnikov方法预测系统产生的稳定流形和不稳定流形的横截相交,得到系统产生混沌姿态运动的条件.研究表明:随着转子转动惯量的增加,引起系统出现混沌姿态运动的激励频率的范围逐渐减小.最后,对相空间轨线的数值模拟表明理论分析的可靠性.

The chaotic attitude motion of a spacecraft with three rotors subjected to small external perturbation torques was investigated. By using the Deprit＇s canonical variables, the Hamilton structure of the system was established. Melniklv＇s method was carried out to predict the transversal intersections of the stable and unstable manifolds and to achieve the conditions of the occurring of chaotic motion. The study shows that the range of the excitation frequencies, which excite the occurring of chaotic dynamics, decreases as the momentum moment of the wheels increases. Finally, the numerical simulation of phase space shows the reliability of the theoretical analysis.