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arXiv 2007.04945astro-ph.EPnlin.CD
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solar radiation压力和扁率耦合问题的动力学分类和离轨构型分析

Dynamical taxonomy of the coupled solar radiation pressure and oblateness problem and analytical deorbiting configurations

Ioannis Gkolias, Elisa Maria Alessi, Camilla Colombo

摘要:

最近的工作表明,由行星扁率与太阳辐射压力耦合引起的动力学可以通过基于单平均运动方程的模型来描述。耦合摄动影响轨道相对于日地线的偏心率、倾角和方向的演变。共振相互作用导致可在飞行任务设计中利用的非平凡轨道演变。此外,在每个共振附近的动态可以通过共振模型来解析地描述,该共振模型提供了驱动相空间演化的中心和双曲不变流形的位置。动力系统理论的经典工具可以应用于为实际应用执行初步的任务分析。在此基础上,在这项工作中,我们提供了一个详细的推导的共振动力学,也在非奇异变量,并讨论其性质,通过研究与每个共振的主要分岔现象。最后,分析模型将提供一个简单的分析表达式,以获得卫星在可行的时间尺度内从给定高度脱离轨道所需的面积质量比。

英文摘要:

Recent works demonstrated that the dynamics caused by the planetary oblateness coupled with the solar radiation pressure can be described through a model based on singly-averaged equations of motion. The coupled perturbations affect the evolution of the eccentricity, inclination and orientation of the orbit with respect to the Sun--Earth line. Resonant interactions lead to non-trivial orbital evolution that can be exploited in mission design. Moreover, the dynamics in the vicinity of each resonance can be analytically described by a resonant model that provides the location of the central and hyperbolic invariant manifolds which drive the phase space evolution. The classical tools of the dynamical systems theory can be applied to perform a preliminary mission analysis for practical applications. On this basis, in this work we provide a detailed derivation of the resonant dynamics, also in non-singular variables, and discuss its properties, by studying the main bifurcation phenomena associated to each resonance. Last, the analytical model will provide a simple analytical expression to obtain the area-to-mass ratio required for a satellite to deorbit from a given altitude in a feasible timescale.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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