卫星轨道的类驱逐共振。应用于火星的主要卫星火卫一
Eviction-like resonances for satellite orbits. Application to Phobos, the main satellite of Mars
摘要：
卫星的运动可以经历其轨道的岁差频率与围绕恒星的主行星的平均运动之间的长期共振。这些共振中的一些可以显著地改变卫星的偏心率（驱逐共振）和倾角（驱逐共振）。在本文中，我们详细研究了长期的共振，可以扰乱卫星的轨道，特别是驱逐类。虽然在穿过一个类似驱逐的共振时倾斜总是被干扰，但捕获只能在半长轴减小时发生。例如，火星最大的卫星火卫一的情况就是如此，它将在未来穿越其中一些共振，因为它的轨道由于潮汐效应而缩小。我们估计的影响共振交叉在卫星轨道上，包括捕获概率，作为几个参数的函数，如偏心率和倾斜的卫星，和行星的轨道。最后，我们使用频率图分析的方法来研究共振动力学的基础上的稳定性地图，我们表明，一些长期的共振可能会重叠，这导致混沌运动的倾斜的卫星。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
