基于walker星座拓扑结构的碰撞分析

Collision Analysis Based on the Walker Constellation Topology Structure

针对walker星座,研究了轨道拓扑结构,得到了星座特有的一些性质。根据特性,分析了walker星座卫星的几个常量参数,并推导了轨道交点的交点卫星角距计算公式和严格碰撞判决公式。根据walker星座最小卫星间距的搜索计算方法,为优化确定卫星最小距离约束值,提出和推导了最小卫星间距快速计算方法,方法仅依据星座基本常量参数,与时间不关联,具有计算速度快的特点,最后给出了广义碰撞的判决条件。通过仿真实验,验证了walker星座最小卫星间距快速计算方法的精确性和快速性,体现了方法在星座设计碰撞分析中的可行性和有效性。

The orbit topology structure about the walker constellation was researched and some properties were gained.On the basis of these properties,several constant parameters about the walker constellation were analyzed.The computation formula of the argument of orbital node satellites was derived,which was defined as the minimum argument between two satellites.And the decision policy about proper collide was determined.The search computation method of the minimum intersatellite distance of the walker constellation was introduced.A new fast computation method was proposed and derived.This method depended on the constellation＇s constant parameters and wasn＇t associated with the time,so the computing speed is fast.Finally the decision condition about the generalized collision was presented.The result of the experimentation verifies the validity and the accuracy of the new method,and it also proves that the algorithm is feasible and efficient in the collision analysis of the constellation design.