广义轨道根数空间的轨道机动可达性

在由动量矩矢量和偏心率矢量定义的广义轨道根数度量空间内,研究了在初始轨道的任意点施加幅值固定的单脉冲后卫星的可达区域,包括脉冲施加的位置任意、方向固定和位置固定、方向任意2种情况,给出了广义轨道根数空间中轨道机动的可达性判据.通过比较脉冲作用前后的广义轨道根数,评估了单脉冲对广义轨道根数的影响,并且利用数值仿真分析了脉冲作用位置、方向与广义轨道根数空间中度量的关系.最后,在广义轨道根数空间中给出了轨道到轨道的机动策略,验证了广义轨道根数的可行性.

Reachability in Metric Space of Generalized Orbital Elements

The metric space and subspace of generalized orbital elements and applications evolved in the space are studied,including the reachability characteristics with a single impulse and control strategy for multi-impulse transfer.First,the metric space and subspace of generalized orbital elements are described,in which a single point corresponds to a unique physical orbit.Second,the reachability characteristics described in the generalized orbital space is investigated.The effect of a single impulse is evaluated by comparing the differences of the generalized orbital elements before and after the maneuver,and the relationships between the position and direction of the impulse and the metrics are also obtained based on theoretical analysis as well as numerical simulations.Third,the control strategy of the multi-impulse for the spacecraft is developed in the metric space defined previously employing PSO （Particle Swarm Optimization） algorithm.Using mappings of the maneuvers between the space of generalized orbital elements and the physical space,the results can facilitate rendezvous applications and evaluations of the collision avoidance.