空间系绳系统平衡位置建模与仿真分析

Modeling and Simulation Analysis of Equilibrium Position of Space Tether System

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 the circumstances of considering the quality, deformation of tether and drag perturbation, the equilibrium of tether and subsatellite will be analysed. The purpose is to calculate the equilibrium position of the space tether system and analyse the influence to equilibrium position of the system of relevant parameters accurately. The e- quilibrium position of space tether system can be obtained through solving the balance equations of tether and subsat- ellite by using classical fourth -order Runge Kutta method. In the simulation and analysis, two cases were simula- ted, one was that the length of tether was fixed and the tether quality was variable and the other was that subsatellite quality was fixed and the length of tether was variable. The results of equilibrium position and the variation trend of tether tension were analysed and contrasted. Simulation results provide a reference for choosing the relevant parame- ters of tether system in future space applications.