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Light-curve Evolution due to Secular Dynamics and the Vanishing Transits of KOI 120.01
The Astronomical Journal ( IF 5.3 ) Pub Date : 2020-10-06 , DOI: 10.3847/1538-3881/abb406
Yair Judkovsky 1 , Aviv Ofir 1 , Oded Aharonson 1, 2
Affiliation  

Non-Keplerian dynamics of planetary orbits manifest in the transit light-curve as variations of different types. In addition to Transit Timing Variations (TTV's), the shape of the transits contains additional information on variations in the geometry of the orbit. This study presents an analytic approach to light-curve fitting: dynamical variations in the orbital elements are transformed to a light-curve using an analytic function with a restricted set of fitting parameters. Our method requires no N-body integration, resulting in a smaller number of degrees of freedom and a faster calculation. The approach described here is for the case of secular perturbations. By assuming that the orbital motion is dominated by nodal and apsidal precessions, analytic expressions for the light-curve transit parameters are derived as a function of the orbital variations. Detecting and characterizing such dynamical scenarios provides information regarding the possible existence of non-transiting companions, or the non-spherical mass distribution of the host star. The variations may imply forces out of the orbital plane, and thus probe mutual inclinations among components of the system. The derived models successfully reproduce the vanishing transit signals of KOI 120.01, and suggest a possible interesting scenario of a planet orbiting one member of a close-in binary system undergoing unusually rapid nodal regression. The model parameters are degenerate, so we provide relevant information for followup observations, which are suggested in order to place further constraints on this unique Kepler object.

中文翻译:

由于长期动力学和 KOI 120.01 的消失过渡引起的光曲线演化

行星轨道的非开普勒动力学在凌日光曲线中表现为不同类型的变化。除了凌日时间变化 (TTV) 之外,凌日的形状还包含有关轨道几何形状变化的附加信息。这项研究提出了一种光曲线拟合的分析方法:使用具有一组受限拟合参数的解析函数将轨道元素的动态变化转换为光曲线。我们的方法不需要 N 体积分,从而导致更少的自由度和更快的计算。这里描述的方法是针对长期扰动的情况。通过假设轨道运动由节点和顶点岁差主导,光曲线传输参数的解析表达式是作为轨道变化的函数导出的。检测和表征这种动态场景提供了关于可能存在非凌日伴星或主星的非球形质量分布的信息。这些变化可能意味着力超出轨道平面,从而探测系统组件之间的相互倾角。派生的模型成功地再现了 KOI 120.01 消失的凌日信号,并提出了一个可能有趣的场景,即一颗行星围绕一个接近双星系统的一个成员运行,并经历异常快速的节点回归。模型参数是退化的,因此我们为后续观察提供了相关信息,建议这些信息是为了对这个独特的开普勒天体施加进一步的约束。
更新日期:2020-10-06
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