论文标题

耦合太阳辐射压力和填充性问题的动力分类法和分析性解析配置

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

论文作者

Gkolias, Ioannis, Alessi, Elisa Maria, Colombo, Camilla

论文摘要

最近的著作表明,可以通过基于单个平均运动方程的模型来描述由行星填充性与太阳辐射压力相结合的动力学。耦合的扰动会影响轨道相对于太阳线的偏心,倾斜度和方向的演变。共振相互作用导致可以在任务设计中利用的非平凡轨道演化。此外,可以通过共振模型分析每个共振附近的动力学,该模型提供了中央和双曲线不变的歧管的位置,从而驱动相位空间演变。动态系统理论的经典工具可以应用于对实际应用进行初步任务分析。在此基础上,在这项工作中,我们通过研究与每种共振相关的主要分叉现象,提供了共振动力学的详细推导,并在非单个变量中进行了讨论。最后,分析模型将提供一个简单的分析表达式,以获取卫星在可行时间范围内从给定高度脱口的卫星所需的面积与质量比。

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.

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