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首页> 外文期刊>Acta astronautica >Modeling relative motion of LEO satellites at different altitudes
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Modeling relative motion of LEO satellites at different altitudes

机译：模拟LEO卫星在不同高度的相对运动

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This paper presents a new approach to model the relative motion of low Earth orbit satellites flying at different altitudes, with separations on the order of hundreds of kilometers. The main scope is describing the relative trajectory especially when the spacecraft are relatively close to each other and potentially able to use their payloads in a synergic way, as it happens in traditional formation flight. The derivation procedure accounts for the main orbit perturbing effects and assumes small differences between the orbit parameters. Final equations show that relative motion due to the altitude difference can be approximated by a circular in-plane trajectory. Then, when the along track separation is relatively small, in-plane dynamics results from the combination of several polynomial and oscillatory terms at orbital frequency and twice the orbital frequency. As for the out of plane motion, it consists of an oscillation with orbital frequency and slowly varying amplitude. A new mission concept is presented as an example of model application. It consists of a small sat-based distributed radar receiving the backscattered echoes of existing low Earth orbit transmitters. Hence, an orbital design is proposed to counteract the cross-track motion thus maximizing mission potential.
机译：本文提出了一种新的方法来模拟在不同高度飞行的低地球轨道卫星的相对运动，其间隔约为数百公里。主要范围是描述相对轨迹，特别是当航天器彼此相对靠近并且有可能像传统编队飞行中那样以协同方式使用其有效载荷时。推导过程考虑了主要轨道的扰动效应，并假定轨道参数之间的微小差异。最终方程式表明，由高度差引起的相对运动可以通过圆形的平面内轨迹来近似。然后，当沿轨道的距离相对较小时，平面动力学是由轨道频率和轨道频率的两倍的多个多项式和振动项的组合产生的。至于平面外运动，它由轨道频率和振幅缓慢变化的振荡组成。提出了新的任务概念作为模型应用的示例。它由一个小型的基于卫星的分布式雷达组成，该雷达接收现有低地球轨道发射器的反向散射回波。因此，提出了一种轨道设计来抵消跨轨运动，从而使任务潜力最大化。

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