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编队飞行卫星相对运动的零J2摄动条件
J2 invariant perturbation conditions for the relative movement for satellites in formation flying
【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。
【Abstract】 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 J2 invariant perturbation conditions were developed to describe the relative movement of satellites in formation with small eccentricities. The results showed that the J2 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 J2 invariant perturbation conditions were developed using small orbital elements for the satellites. The simulation results show that the first-order approximation of the J2 invariant perturbation conditions can effectively reduce the drift of the relative orbital configurations.
【Key words】 spacecraft flying mechanics; satellite formation flying; orbit element; J2 invariant perturbation; nodal period; nodal precession rate;
- 【文献出处】 清华大学学报(自然科学版) ,Journal of Tsinghua University(Science and Technology) , 编辑部邮箱 ,2004年02期
- 【分类号】V448
- 【被引频次】19
- 【下载频次】344