论文标题
在逆行轨道上，共振和稳定性
On retrograde orbits, resonances and stability
论文作者
论文摘要
首先，我们回顾了以前关于逆行轨道配置以及建模和识别逆行共振的工作。然后，我们提出了有关在平面循环限制的3体问题的低质量比率方面相对于逆行配置增强的逆行配置稳定性的新结果。由于最近发现与太阳系的巨型行星逆行共振的小体的动机，我们然后以质量比0.001探索了案例，并在半高轴的网格中显示了新的稳定图，而半轴轴的网格与2/1和1/2逆行共振的偏心率。最后，我们解释了2/1和1/2逆行共振的稳定边界与谐振轨道的几何形状有关。
We start by reviewing our previous work on retrograde orbital configurations and on modeling and identifying retrograde resonances. Then, we present new results regarding the enhanced stability of retrograde configurations with respect to prograde configurations in the low mass ratio regime of the planar circular restricted 3-body problem. Motivated by the recent discovery of small bodies which are in retrograde resonance with the Solar System's giant planets we then explore the case with mass ratio 0.001 and show new stability maps in a grid of semi-major axis versus eccentricity for the 2/1 and 1/2 retrograde resonances. Finally, we explain how the stability borders of the 2/1 and 1/2 retrograde resonances are related to the resonant orbits' geometry.
