基于Lawden方程的理想编队队形设计

该文基于L aw den方程分别对圆参考轨道和椭圆参考轨道的卫星理想编队队形设计进行了研究。对于圆参考轨道,通过引入相角概念,简化了多星编队队形设计,并通过理论分析和算例仿真说明:编队队形与初始真近点角的选择无关,且有多组从星运动参数组合满足队形设计要求。对于椭圆参考轨道编队,编队队形的变化与主星的轨道偏心率及编队初始真近点角的选择密切相关,且满足队形要求的从星运动参数组合是惟一的。

Ideal relative trajectories design based on Lawden's equations

A simplified method was developed to design ideal relative trajectories for circular and elliptic reference orbits based on Lawden's equations.For circular reference orbits,the use of a phase angle simplifies the multi-satellite relative trajectory design.Theoretical analyses and examples show that the relative trajectory is independent of the initial true anomaly and that multiple parameter groups can satisfy the design requirements.For elliptic reference orbits,the variation of the relative trajectory is dependent on the eccentricity of the reference orbit and the initial true anomaly and that only one parameter group can provide the desired trajectory.