视场约束下V-bar撤离控制的解析计算方法

利用解析方法研究在视场约束条件下交会对接V-bar撤离的控制问题。描述交会对接V-bar撤离的径向冲量机动方案,说明径向机动撤离方案具有减少羽流污染和故障情况下能够避免飞行器碰撞的优点。基于CW方程推导出已知径向冲量求最大视场角和已知视场角约束求容许冲量的解析公式,同时得到求最大视场角时刻和冲量作用后V-bar方向撤离距离的计算公式。最后,数值和解析两种方法的比较验证了解析方法的正确性。

An Analytic Solution for the V-bar Departure Control under the Field of View Constraint

By the analytic method,the control of V-bar departure in rendezvous and docking under the field of view constraint was studied.The basic maneuver strategy of V-bar departure using radial impulse was described.This strategy fulfils the requirement of minimum plume impact on the target and trajectory safety.The analytic solution calculating the maximum field of view using radial impulse and calculating the permitted impulse using field of view was developed on the basis of CW equation while the solution with the formulas to calculate the time of the maximum field of view and the departure distance in the V-bar direction was also developed.Finally,the comparison between numerical and analytic method shows the method developed in this paper is correct.