文章基本信息

标题：Nodal Precession in Closely Spaced Planet Pairs
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作者：Nora Bailey ; Daniel Fabrycky
期刊名称：The Astronomical journal
印刷版ISSN：0004-6256
电子版ISSN：1538-3881
出版年度：2020
卷号：159
期号：5
页码：2997-3009
DOI：10.3847/1538-3881/ab83f0
语种：English
出版社：American Institute of Physics
摘要：Planet–planet perturbations can cause planets' orbital elements to change on secular timescales.Previous work has evaluated the nodal precession rate for planets in the limit of low α (semimajor axis ratio; 0 < α ≤ 1).Our simulations show that systems at high α (or low period ratio), similar to multiplanet systems found in the Kepler survey, have a nodal precession rate that is more strongly dependent on eccentricity and inclination.We present a complete expansion of the nodal precession rate to fourth order in the disturbing function and show that this analytical solution much better describes the simulated N-body behavior of high-α planet pairs; at α ≈ 0.5, the higher-order solution, on average, reduces the median analytical error by a factor of 7.5 from linear theory and 6.2 from a similar expansion assuming low α.We set limits on eccentricity and inclination where the theory is precisely validated by N-body integrations, which can be useful in future secular treatments of planetary systems.
关键词：Analytical mathematics;Ascending node;Celestial mechanics;Exoplanet systems;Exoplanet dynamics;N-body simulations;Orbits;Three-body problem