椭圆参考轨道编队卫星非线性周期性相对运动条件  

Nonlinear and periodic relative motion in spacecraft formations in eccentric orbits

作　　者：杏建军[1] 唐国金[1] 郗晓宁[1] 张翼[1] 李海阳[1] 

机构地区：[1]国防科技大学航天与材料工程学院,长沙410073

出　　处：《清华大学学报（自然科学版）》2006年第8期1462-1465,共4页Journal of Tsinghua University(Science and Technology)

基　　金：国家自然科学基金资助项目(10072076)

摘　　要：利用编队卫星机械能之差守恒,提出了确定椭圆参考轨道编队卫星非线性周期性相对运动条件的新方法。该方法不用求解非线性相对运动微分方程,只需解一个一元二次代数方程,就可给出任意偏心率和非线性条件下,两个具有明显物理意义的周期性相对运动初始条件。利用这些条件,可找到不需消耗任何燃料的周期性相对运动轨道。最后的数值仿真结果验证了该方法和结论的正确性。An orbital path design method which includes the effects of nonlinearity and eccentricity was developed to design the periodic relative rotating orbits for spacecraft formations using the fact that the energies between formation spacecraft are equal when influenced by a point-mass central body. The method solves an algebraic equation instead of a set of nonlinear differential equations to find the two initial conditions for the periodic relative rotating orbits for any eccentric orbit with nonlinear relative motion. With these initial conditions, the formation spacecraft can maintain the periodic relative rotating orbit without consuming any fuel. Numerical simulations demonstrate the effectiveness of the methodology.

关 键 词：卫星编队 周期性相对运动 初始条件 机械能之差 非线性 椭圆参考轨道 

分 类 号：V412[航空宇航科学与技术—航空宇航推进理论与工程]