小推力地球卫星圆轨道同轨调相设计方法研究

Study on Design Method of Low-Thrust Phasing Maneuvers for Earth Circle-Orbit Satellites

在研究小推力地球卫星圆轨道同轨调相任务设计问题的基础上,提出了一种半解析调相参数分析方法,并据此发展了一种高效的精确设计方法。首先,根据推力方向对卫星相位角的影响规律,采用推力方向假设和轨道平均技术推导了调相轨道参数满足的函数关系,通过微分修正可快速获得调相轨道的关键参数;然后,基于摄动轨道动力学模型,通过对控制量进行离散化建立了复杂约束条件下的燃料最省调相轨道设计模型,并以初始分析结果为初值,采用序列二次规划算法进行求解;最后,以地球同步轨道调相任务为例对所提方法进行了数值验证。数值仿真结果表明:提出的初始分析方法可为调相轨道设计提供合理的初值猜测,发展的鲁棒设计方法可有效用于摄动模型复杂约束下的小推力调相轨道设计。

Low-thrust phasing maneuver design of Earth circle-orbit satellites is researched in this paper.A semi-analytical phasing parameter analysis method is proposed,and based on that an efficiently accurate design method is developed.First,according to the influence law of thrust direction on phase change rate,functional relationship between phasing parameters are derived by using orbit averaging technique and thrust direction assumption.The key phasing parameters can be obtained by using simple differential correction.Then,the fuel-optimal phasing orbit design under the condition of complex constraints based on a perturbation model is transformed into a multi-parameter optimization problem by discretizing control law.With the initial guess obtained by the analysis method,the problem can be solved rapidly by using a sequential quadratic programming algorithm.Finally,the simulation results of Geosynchronous orbit low-thrust phasing transfer is presented,it is shown that feasible initial guess can be provided with the analytical method for phasing orbit design,and by using the robust design method,low-thrust phasing trajectory design problem can be solved effectively under the perturbation model.