论文标题
卫星轨道的类似驱逐的共振。申请到火星的主要卫星Phobos
Eviction-like resonances for satellite orbits. Application to Phobos, the main satellite of Mars
论文作者
论文摘要
卫星的运动可以在其轨道的进动频率与恒星周围的宿主行星的平均运动之间经历世俗的共振。这些共振中的一些可以显着改变卫星的偏心率（Exection共振）和倾斜度（驱逐共振）。在本文中，我们详细研究了可能干扰卫星轨道的世俗共振，尤其是类似驱逐的轨道。尽管在越过一个驱逐样的共振时总是会受到干扰，但只有在半大轴减小时才能发生捕获。例如，这是Phobos是火星最大的卫星，它将在将来跨越其中的一些共振，因为由于潮汐效应，其轨道正在缩小。我们估计共振交叉在卫星轨道中的影响，包括捕获概率，是多个参数的函数，例如偏心率和卫星的倾斜度以及地球的倾斜度。最后，我们使用频率图分析的方法来研究基于稳定性图的谐振动力学，我们表明某些世俗的共振可能重叠，这导致了卫星倾斜的混乱运动。
The motion of a satellite can experience secular resonances between the precession frequencies of its orbit and the mean motion of the host planet around the star. Some of these resonances can significantly modify the eccentricity (evection resonance) and the inclination (eviction resonance) of the satellite. In this paper, we study in detail the secular resonances that can disturb the orbit of a satellite, in particular the eviction-like ones. Although the inclination is always disturbed while crossing one eviction-like resonance, capture can only occur when the semi-major axis is decreasing. This is, for instance, the case of Phobos, the largest satellite of Mars, that will cross some of these resonances in the future because its orbit is shrinking owing to tidal effects. We estimate the impact of resonance crossing in the orbit of the satellite, including the capture probabilities, as a function of several parameters, such as the eccentricity and the inclination of the satellite, and the obliquity of the planet. Finally, we use the method of the frequency map analysis to study the resonant dynamics based on stability maps, and we show that some of the secular resonances may overlap, which leads to chaotic motion for the inclination of the satellite.
