标题： 阿特拉斯的轨道动力学（S XV）：当前轨道与近期过去 显示英文标题

标题： Orbital Dynamics of Atlas (S XV): Its Current Orbit and the Recent Past

摘要： 本研究全面分析了Atlas当前的轨道，重点研究了由Prometheus、Pandora和土星扁率引起的长期和共振扰动。 我们对密集集合的一组Atlas克隆卫星进行了精确运动方程的数值积分。 通过动态图谱上的光谱分析和这些轨道的解释，我们识别出了54:53 Prometheus-Atlas和70:67 Pandora-Atlas平均运动共振域，表明Atlas位于这两个共振域分界线的边界上。 我们还确定了与70:67共振相关的多重集$\Psi_{1}$、$\Psi_{2}$、$\Psi_{3}$和$\Psi_{4}$的域。 此外，我们探讨了Prometheus离心率的变化，证明了在54:53共振域内，当离心率增加（或减少）时，相应的54:53共振域也会相应地减少（或增加）。 上述映射之间的综合分析，揭示了54:53和70:67共振在频率空间中的重叠，这是导致Atlas轨道混沌行为的原因。 我们在频率空间量化了混沌运动，发现Atlas附近的区域表现出弱到中等程度的混沌，而不是强混沌。 最后，我们研究了Atlas近期的历史，考虑了在土星潮汐力作用下Prometheus的迁移情况。 这一分析揭示了过去穿越的多个共振，特别是关注了Atlas-Prometheus这对共轨配置的情况。 显示英文摘要

摘要： This study comprehensively analyzes Atlas's current orbit, focusing on the secular and resonant perturbations caused by Prometheus, Pandora, and Saturn's oblateness. We performed numerical integration of the exact equations of motion for a dense ensemble of Atlas clone satellites. Through spectral analysis and interpretation of these orbits on dynamical maps, we identified the domain of the 54:53 Prometheus-Atlas and 70:67 Pandora-Atlas mean-motion resonances, showing that Atlas lies on the boundary of the separatrices of each of these resonances. We also identified the domains for the multiplets $\Psi_{1}$, $\Psi_{2}$, $\Psi_{3}$ and $\Psi_{4}$ associated with 70:67 resonance. Additionally, we explored the variation in Prometheus's eccentricity, demonstrating that as eccentricity increases (or decreases) in the 54:53 resonance domain correspondingly decreases (or increases). This combined analysis, between the above mappings, revealed qualitatively the overlap between the 54:53 and 70:67 resonances, which are responsible for the chaotic behavior of Atlas's orbit. We quantified chaotic motion in frequency space and found that the vicinity of Atlas is characterized by weak to moderate chaos, rather than strong chaos. Finally, we investigated Atlas's recent past, considering Prometheus's migration under the influence of Saturn's tidal forces. This analysis reveals several resonances crossed in the past, particularly focusing on the Atlas-Prometheus pair, which exhibited a co-orbital configuration.