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arXiv 1606.03072astro-ph.EP
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具有类地行星和巨行星的行星系的长期演化

Long term evolution of planetary systems with a terrestrial planet and a giant planet

Nikolaos Georgakarakos, Ian Dobbs-Dixon, Michael J. Way

摘要:

我们研究了在巨行星引力摄动下类地行星的长期轨道演化。特别是,我们感兴趣的情况下,这两个行星是在同一平面,是相对接近。我们研究了两种可能的配置:巨行星的轨道要么在较小行星的轨道之外,要么在较小行星的轨道之内。将摄动势展开到高阶,得到了地球行星轨道的解析解。分析估计,然后从数值积分的完整的运动方程的结果进行比较,我们发现,分析解决方案的工作相当不错。一个有趣的发现是,新的分析估计大大提高了预测的时间尺度的轨道演变的类地行星相比,八极阶扩展。最后,我们简要讨论了分析估计在天体物理问题中的可能应用。

英文摘要:

We study the long term orbital evolution of a terrestrial planet under the gravitational perturbations of a giant planet. In particular, we are interested in situations where the two planets are in the same plane and are relatively close. We examine both possible configurations: the giant planet orbit being either outside or inside the orbit of the smaller planet. The perturbing potential is expanded to high orders and an analytical solution of the terrestrial planetary orbit is derived. The analytical estimates are then compared against results from the numerical integration of the full equations of motion and we find that the analytical solution works reasonably well. An interesting finding is that the new analytical estimates improve greatly the predictions for the timescales of the orbital evolution of the terrestrial planet compared to an octupole order expansion. Finally, we briefly discuss possible applications of the analytical estimates in astrophysical problems.

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。

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