论文标题
分析模型的潮汐共振的潮汐演变和共振的时机
Analytical Model for the Tidal Evolution of the Evection Resonance and the Timing of Resonance Escape
论文作者
论文摘要
与地球的高角度动量巨大的影响可以产生带有硅酸盐同位素组成几乎与地球地幔相同的月球,这与对陆地和月球岩石的观察一致。但是,这样的事件需要随后的角动量去除,以使其与当前的地球系统保持一致。早期的月亮可能已被捕获到Exection共振中,当时月球围角肉食序期等于一年。有人提出,在高角度动量巨大冲击力之后,Exection去除了斜面的动量,从地上蒙上对,并将其转移到围绕太阳的地球轨道上。但是,先前的n体积分表明,此结果取决于潮汐模型和选择的潮汐参数。在这里,我们使用互补的分析描述和Mignard潮汐模型检查了月球与Exection的相遇。当月亮引起共鸣时,围角的月球经度是围角的经度,如果潮汐演化充分激发了图表振幅,则会逃离共振。正式驱动产生的角动量流量取决于保持共振的时间。我们估计谐振逃逸发生在早期,导致地球系统角动量中只有少量减少(〜几至10%)。如前所述,从高角度动量影响中形成的月球形成将需要其他角度的移动机制超出标准库的其他角动量去除机制。
A high-angular momentum giant impact with the Earth can produce a Moon with a silicate isotopic composition nearly identical to that of Earth's mantle, consistent with observations of terrestrial and lunar rocks. However, such an event requires subsequent angular momentum removal for consistency with the current Earth-Moon system. The early Moon may have been captured into the evection resonance, occurring when the lunar perigee precession period equals one year. It has been proposed that after a high-angular momentum giant impact, evection removed the angular momentum excess from the Earth-Moon pair and transferred it to Earth's orbit about the Sun. However, prior N-body integrations suggest this result depends on the tidal model and chosen tidal parameters. Here we examine the Moon's encounter with evection using a complementary analytic description and the Mignard tidal model. While the Moon is in resonance the lunar longitude of perigee librates, and if tidal evolution excites the libration amplitude sufficiently, escape from resonance occurs. The angular momentum drain produced by formal evection depends on how long the resonance is maintained. We estimate that resonant escape occurs early, leading to only a small reduction (~few to 10%) in the Earth-Moon system angular momentum. Moon formation from a high-angular momentum impact would then require other angular momentum removal mechanisms beyond standard libration in evection, as have been suggested previously.