平均相对运动方程及其在卫星编队构型维持中的应用

Averaged Relative Motion Equation and Applications to Satellite Formation Configuration Maintenance

针对近地轨道卫星相对运动过程中的周期变化特性,利用轨道周期平均方法给出了平均相对运动方程,并在此基础上设计了两种编队构型维持策略.首先,推导出以轨道根数差分表示的平均相对运动方程,该方程能有效消除相对运动的周期性变化.其次,针对大气阻力摄动和J2项摄动,利用轨道平均根数的线性化递推公式,给出了平均相对运动轨迹的预报方程,通过事先预报编队飞行的平均轨迹,为编队构型设计和保持控制提供参考依据.最后通过数学仿真对两种编队构型维持策略进行了验证.

The averaged relative motion equation of elliptic orbit satellite formation is presented based on the averaged analysis method during an orbit period, and two different formation configuration maintaining methods are proposed. The orbit elements difference is used to derive the averaged relative motion equation, and the proposed model can effectively eliminate the periodic movement. Based on the linear recursive equation of mean orbit elements difference, the forecast equation of averaged relative motion is obtained via considering the orbital perturbation. The forecast model can provide valuable information for configuration design and configuration maintaining. Simulation results verify the effectiveness of the proposed formation configuration maintaining methods.