Generalized solutions for relative spacecraft orbits under arbitrary perturbations
Generalized solutions for relative spacecraft orbits under arbitrary perturbations
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DOI：
10.1016/j.actaastro.2006.07.013
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发表时间：
2007
影响因子：
3.5
通讯作者：
P. Gurfil
中科院分区：
文献类型：
--
作者：
P. Gurfil
给出了任意摄动情况下航天器相对动力学的广义解析解，并给出了新的摄动不变相对轨道。对已有结果的推广是通过使用非密切轨道元素来实现的，即取消了瞬时速度矢量与瞬时开普勒椭圆相切的约束。建立了广义行星方程，并对其进行平均，以得到一阶小扰动的长期影响的非密切描述。将广义行星方程线性化，并利用非密切经典轨道元差分给出相对动力学的表达式。所开发的方法被用来寻找以前未被检测到的J2不变的相对轨道。
This paper develops generalized analytic solutions of relative spacecraft dynamics in the presence of arbitrary perturbations and presents new perturbation-invariant relative orbits. The extension of existing results is achieved by using non-osculating orbital elements, i.e. removing the constraint that the instantaneous velocity vector be tangential to an instantaneous Keplerian ellipse. Generalized planetary equations are developed and averaged to yield a non-osculating description of the long-term effects of first-order small perturbations. The generalized planetary equations are linearized, and expressions for the relative dynamics are presented in terms of non-osculating classical orbital element differences. The developed methodology is utilized to find previously undetected J2-invariant relative orbits.