Analysis of Evolution of Multi-Orbit Perturbed Trajectories of a Spacecraft in a Central Field of Attraction

V. V. Laricheva

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Analysis of Evolution of Multi-Orbit Perturbed Trajectories of a Spacecraft in a Central Field of Attraction

机译：引力中心场中航天器多轨道摄动轨迹的演化分析

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Properties of differential equations of multi-orbit trajectory motion of a spacecraft are investigated analytically. The spacecraft moves under the action of small perturbations (in particular, low thrust) in the plane of a central Newtonian field of attraction. The conditions are specified for existence of a partial singular aperiodic solution, in the neighborhood of which the behavior of osculating elements changes sharply. In this case, phase variables (the angular position of the pericenter and the true anomaly) are found to undergo the sharpest changes. The exact superposition of solutions is suggested for the equations of motion transformed to the form of a quasi-linear, weakly non-stationary system: a partial singular aperiodic solution and fast solutions oscillating around it. Asymptotic representations are obtained for both components of the superposition. They are fairly exact in the region of smallness of perturbing terms at a long variation of the argument.

机译：对航天器多轨道轨迹运动的微分方程的性质进行了分析研究。航天器在微小的扰动（特别是低推力）的作用下，在牛顿中央吸引力场的平面中运动。为存在部分奇异非周期解规定了条件，在该解附近，振动元件的行为急剧变化。在这种情况下，发现相位变量（中心点的角位置和真实异常）经历了最剧烈的变化。对于将运动方程转换为准线性，弱非平稳系统的形式，建议了其解的精确叠加：部分奇异的非周期性解和围绕其振荡的快速解。对于叠加的两个分量都获得了渐近表示。在争论的长期变化中，它们在扰动项较小的区域中是相当准确的。

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《Cosmic research》 |2013年第4期|304-314|共11页
作者
V. V. Laricheva;
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Zhukovsky Central Aerohydrodynamic Institute, Zhukovsky, Moscow oblast;

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Analysis of Evolution of Multi-Orbit Perturbed Trajectories of a Spacecraft in a Central Field of Attraction

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