利用高斯伪谱法求解小推力伴星最优释放轨迹

针对近距离相对运动的轨道控制问题，提出用常值小推力完成最优转移的方法。基于C-W方程，推导了相对运动解析解的表达式，讨论了在无控条件下能够形成稳定绕飞构型的初始相对速度和相对位置的限制条件，以此限制条件作为终端条件，以伴星释放时近似为零的相对速度和相对位置为初始条件，建立了利用连续小推力实现的伴星释放最优控制问题的模型。选用了高斯伪谱法将最优控制问题离散化，转化成非线性规划问题并通过系列二次规划法完成求解。数值仿真算例表明，利用高斯伪谱法求解此问题可以有效地收敛到最优解。

Optimal Control of Spacecraft Fly-around Releasing Using Continuous Thrust Based on Gauss Pseudospectral Method

An optimal orbit maneuver method based on continuous low thrust was presented to solve relative motion control.With C-W equation,analytic resolution of relative motion was derived.The relative velocity and relative position constrains for stable formation without control were discussed.The constrains were treated as final conditions,and the relative position and relative velocity of depart were treated as initial conditions.These conditions together with relative equation constructed an optimal orbit maneuv...