论文标题
详细的动力学模型，用于仅倾斜依赖性的Lunisolar共振。对“偏心增长”机制的影响
A detailed dynamical model for inclination-only dependent lunisolar resonances. Effect on the "eccentricity growth" mechanism
论文作者
论文摘要
本文的重点是仅倾斜依赖性的月共振，该共振在世俗的时间尺度（即几十年）上塑造了MEO（中地球）对象的动力学。遵循Arxiv的形式主义：2107.14507，我们讨论了一个分析模型，该模型得出了“动作”空间$（i，e）$（I，E）$（倾斜度，偏心）在任何给定的半Major Axis $ a $ a $ a $ a $中的“动作”空间$（i，e）$（倾斜度，偏心）中每个主要的分离形式的正确形式。然后，我们强调了我们的方法如何能够在快速Lyapunov指标（FLI）制图中进行数字发现的主要结构。我们专注于从Perigee $ω$的参数的初始阶段以及对象的上升节点$ω$的经度和月球$ω_l$的上升节点$ω$的经度来解释FLI地图的依赖性。此外，根据我们的模型，我们讨论了$ω-ω_l$和$2Ω-ω_l$ resonances的作用，这与仅倾斜度依赖的共振重叠，因为它们以增加$ a $ a $的值的范围，从而产生了大型混乱运动的范围。我们的结果为设计低成本的卫星部署或缓解空间碎屑策略提供了有用的框架，利用了Lunisolar共振的自然动态，从而使对象的偏心率提高到达到摩擦导致大气重新进入的域中。
The focus of this paper is on inclination-only dependent lunisolar resonances, which shape the dynamics of a MEO (Medium Earth Orbit) object over secular time scales (i.e. several decades). Following the formalism of arXiv:2107.14507, we discuss an analytical model yielding the correct form of the separatrices of each one of the major lunisolar resonances in the "action" space $(i, e)$ (inclination, eccentricity) for any given semi-major axis $a$. We then highlight how our method is able to predict and explain the main structures found numerically in Fast Lyapunov Indicator (FLI) cartography. We focus on explaining the dependence of the FLI maps from the initial phase of the argument of perigee $ω$ and of the longitude of the ascending node $Ω$ of the object and of the moon $Ω_L$. In addition, on the basis of our model, we discuss the role played by the $Ω-Ω_L$ and the $2 Ω-Ω_L$ resonances, which overlap with the inclination-only dependent ones as they sweep the region for increasing values of $a$, generating large domains of chaotic motion. Our results provide a framework useful in designing low-cost satellite deployment or space debris mitigation strategies, exploiting the natural dynamics of lunisolar resonances that increase an object's eccentricity up until it reaches a domain where friction leads to atmospheric re-entry.
