编队飞行卫星相对运动的零J_2摄动条件  

J_2 invariant perturbation conditions for the relative movement for satellites in formation flying

作　　者：孟鑫[1] 李俊峰[1] 高云峰[1] 

机构地区：[1]清华大学工程力学系,北京100084

出　　处：《清华大学学报（自然科学版）》2004年第2期219-223,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(20020002024)

摘　　要：地球形状摄动对卫星编队飞行的相对运动有很大影响,会使卫星的相对轨道发生转动或漂移。该文推导了主、从星沿小偏心率轨道运行情况下的相对轨道的零J2摄动条件。如果编队卫星的交点周期和节线的进动速率相等,那么J2摄动对相对运动没有影响,卫星可长期保持编队飞行。在选取的主、从星轨道根数之差为小量的前提下,给出了零J2摄动的一阶近似条件的解析表达式。仿真结果表明,当编队卫星的相对运动满足零J2摄动的一阶近似条件时,卫星相对运动轨道构形的漂移明显减少。The earth's non-spherical shape greatly affects the relative movement of satellites in formation flying. This shape perturbation makes the satellites rotate or drift in the forward direction. The J2 invariant perturbation conditions were developed to describe the relative movement of satellites in formation with small eccentricities. The results showed that the J2 perturbation can not affect the relative movement of satellites in formation when the satellites have equal orbital nodal periods and nodal precession rates; thus, the satellites can maintain their formation for a long time. The first order approximate expressions of the J2 invariant perturbation conditions were developed using small orbital elements for the satellites. The simulation results show that the first-order approximation of the J2 invariant perturbation conditions can effectively reduce the drift of the relative orbital configurations.

关 键 词：航天器飞行力学 编队飞行卫星 轨道根数 零J2摄动 交点周期 节点进动速度 小偏心率轨道 小卫星 

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]