不可见的附加行星扰动对太阳系外致密行星系的影响
Effects of Unseen Additional Planetary Perturbers on Compact Extrasolar Planetary Systems
摘要:
受开普勒任务发现的大量紧凑的太阳系外行星系的启发,本文考虑了由于可能的额外的外行星的扰动。发现的紧凑系统有时包含多个凌日行星,因此它们的轨道角动量矢量紧密对齐。由于行星轨道容易受到倾角强迫振荡的影响,这些系统高度对齐的性质限制了可能的额外(非过境)行星。如果这些太阳系外围区域的行星有足够大的质量或足够小的半长轴,它们将导致紧凑的内部轨道在凌日配置中振荡。本文考虑了被发现拥有五颗或更多行星的紧凑系统的动力学。为了不干扰这些系统的连续,相互过境的状态,额外的行星同伴通常必须有近星点$p>10$ AU。具体的限制被认为是18个行星系,这是通过边缘化其他轨道参数使用三种不同的选择先验的同伴属性(均匀的前,过境启发前,和非过境盘前)。一个单独的合奏数值实验表明,这些紧凑的系统一般不能包含彗星类似物,而不破坏观测到的轨道。我们还考虑了这些约束如何依赖于系统的属性,并发现行星系的表面密度是最重要的变量之一。最后,我们提供了两个系统,WASP-47和开普勒-20,这种分析提供了有趣的限制的具体结果。
英文摘要:
Motivated by the large number of compact extrasolar planetary systems discovered by the Kepler Mission, this paper considers perturbations due to possible additional outer planets. The discovered compact systems sometimes contain multiple transiting planets, so that their orbital angular momentum vectors are tightly aligned. Since planetary orbits are susceptible to forced oscillations of their inclination angles, the highly aligned nature of these systems places constraints on possible additional (non-transiting) planets. If planets in the outer regions of these solar systems have sufficiently large mass or sufficiently small semi-major axis, they will induce the compact inner orbits to oscillate in and out of a transiting configuration. This paper considers the dynamics of the compact systems discovered to host five or more planets. In order to not perturb these systems out of a continually, mutually transiting state, additional planetary companions must generally have periastron $p>10$ AU. Specific constraints are found for each of the 18 planetary systems considered, which are obtained by marginalising over other orbital parameters using three different choices of priors for the companion properties (a uniform prior, a transit-inspired prior, and an non-transiting disk prior). A separate ensemble of numerical experiments shows that these compact systems generally cannot contain Jupiter-analogs without disrupting the observed orbits. We also consider how these constraints depend on system properties and find that the surface density of the planetary system is one of the most important variables. Finally, we provide specific results for two systems, WASP-47 and Kepler-20, for which this analysis provides interesting constraints.
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