绳系子星按时向指定释放位置转移方法的研究

摘要

Two ways to make a tethered satellite reach the desired position at the specified time are proposed. One is based on the planning method using a polynomial function, and the other is based on the method using the Gauss Pseudospectral.The former plans the state trajectory by using a polynomial function, which can make the satellite reach the desired position at the specified time and make the transfer trajectory more smooth. The latter plans the state and control trajectory by using the Gauss Pseudospectral, which can make the satellite reach the desired position at the specified time and make the power optimal. The proposed method can not only be used to implementation of geostationary, cislunar, or deep space exploration transfer orbits, but also it can be used in the specified orbit capture. The simulation results verify the validity of the proposed approaches.%针对如何实现绳系子星按时向指定释放位置转移的问题,提出两种方法--多项式函数规划法和Gauss伪谱法.第一种方法采用多项式函数规划系绳运动的状态轨迹,实现子星在指定的时间向指定释放位置的转移,且使子星的转移过程呈现更好的平滑性;第二种方法采用Gauss伪谱法规划系绳运动的状态和控制轨迹,实现子星在指定的时间到达指定的释放位置,且使系绳运动控制机构的功率消耗最小.所提的方法既可用于地球同步、月球及深空探测等各种类型转移轨道的实现,也可用于对指定任务轨道的捕获.仿真结果验证了方法的有效性.