基于Lawden方程的理想编队队形设计  

Ideal relative trajectories design based on Lawden's equations

作　　者：崔海英[1] 李俊峰[1] 高云峰[1] 

机构地区：[1]清华大学航天航空学院,北京100084

出　　处：《清华大学学报（自然科学版）》2006年第2期271-275,共5页Journal of Tsinghua University(Science and Technology)

基　　金：国家自然科学基金资助项目(10202008);高等学校博士学科点基金资助项目(20020003024)

摘　　要：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。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.

关 键 词：航天器飞行力学 卫星编队飞行 Lawden方程 相角 

分 类 号：V412.4[航空宇航科学与技术—航空宇航推进理论与工程]