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研究空间系绳系统控制平衡问题,针对系绳质量,形变,大气阻力摄动等因素分别对系绳和子星平衡条件进行了分析,并分别建立了系绳与子星的平衡方程。为了精确计算出空间系绳系统在轨平衡位置以及分析相关参数对系统平衡位置的影响,利用经典四阶龙格库塔法解算系绳和子星的平衡方程得到系绳系统的平衡位置。在仿真分析中,分别针对系绳释放长度一定子星质量变化以及子星质量一定释放系绳长度变化两种情况下系统平衡位置以及系绳张力变化趋势进行了分析和对比。仿真结果对于系绳系统在未来空间应用时系统相关参数的选择提供一定参考。
In this paper, the balance of the tether and the sub-star are studied respectively according to the tether quality, deformation and the perturbation of the atmospheric resistance. The equilibrium equations of the tether and the sub-star are respectively established. In order to accurately calculate the position of the space tether system in orbit and analyze the influence of the related parameters on the system equilibrium position, the equilibrium position of the tether system is obtained by solving the classical fourth order Runge-Kutta method. In the simulation analysis, the equilibrium position of the system and the trend of the tether tension were analyzed and compared respectively for the change of the mass of a certain tetragon releasing length and the release of the tether length. The simulation results provide some reference for the choice of system related parameters when the tether system is applied in the future space.