Accurate models for spacecraft relative dynamics are essential to the design of high-precision control and long-term estimation. In the literature, numerous analytical models have been proposed that describe, with different degrees of accuracy, the relative dynamics in presence of specific perturbations. These models however may be limited for future missions, like long-baseline formation flying, that will require analytical formulations capable of considering the influence of different perturbations at the same time, in order to meet the high-demanding mission requirements. The aim of this Note is to provide a general and flexible framework for the inclusion of arbitrary perturbations into the equations of relative motion. The framework decouples the perturbations influence from the Keplerian component of the motion, so that designers can include the perturbations of interest according to the mission scenario. In the future, the proposed framework might be used by autonomous spacecraft for real-time reconfiguration of the guidance system in response to a changed operating scenario. The inclusion of arbitrary zonal harmonics perturbations and atmospheric drag into our framework is discussed.

中文翻译：

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局部-垂直局部-水平参考系中具有任意摄动的相对运动动力学

航天器相对动力学的准确模型对于高精度控制和长期估算的设计至关重要。在文献中，已经提出了许多分析模型，它们以不同的精确度描述了在存在特定扰动的情况下的相对动力学。但是，这些模型可能仅限于将来的任务，例如长基线编队飞行，这将需要能够同时考虑不同扰动影响的分析公式，以满足高要求的任务要求。本注释的目的是提供一个通用灵活的框架，将任意扰动包含在相对运动方程中。该框架将干扰的影响与运动的开普勒成分分开，这样设计人员就可以根据任务场景包括感兴趣的扰动。将来，拟议的框架可能会被自主航天器用于响应于变化的操作场景而对导航系统进行实时重新配置。讨论了将任意区域谐波扰动和大气阻力纳入我们的框架的问题。