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arXiv 1502.06387astro-ph.EP
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凌日环联星行星的解析轨道传播

Analytic orbit propagation for transiting circumbinary planets

Nikolaos Georgakarakos, Siegfried Eggl

摘要:

本文提出的分析框架充分描述了共面系统的运动组成的恒星双星和行星轨道上的轨道以及长期的时间尺度上的恒星。Runge-Lenz矢量的扰动用于推导系统的短期演化,而八极长期理论用于描述其长期行为。后牛顿恒星轨道的修正。行星轨道最初是圆形的,这里发展的理论假设行星偏心率保持相对较小(e_2<0.2)。我们的模型进行了测试,从数值积分的完整的运动方程的结果,然后应用于调查的动力学历史的一些circumbinary行星系发现的美国宇航局的开普勒卫星。我们的研究结果表明,开普勒-34和开普勒-413系统的形成历史很可能与开普勒-16,开普勒-35,开普勒-38和开普勒-64的形成历史不同,因为这些系统观测到的行星偏心率与初始圆形轨道的假设不一致。

英文摘要:

The herein presented analytical framework fully describes the motion of coplanar systems consisting of a stellar binary and a planet orbiting both stars on orbital as well as secular timescales. Perturbations of the Runge-Lenz vector are used to derive short period evolution of the system, while octupole secular theory is applied to describe its long term behaviour. A post Newtonian correction on the stellar orbit is included. The planetary orbit is initially circular and the theory developed here assumes that the planetary eccentricity remains relatively small (e_2<0.2). Our model is tested against results from numerical integrations of the full equations of motion and is then applied to investigate the dynamical history of some of the circumbinary planetary systems discovered by NASA's Kepler satellite. Our results suggest that the formation history of the systems Kepler-34 and Kepler-413 has most likely been different from the one of Kepler-16, Kepler-35, Kepler-38 and Kepler-64, since the observed planetary eccentricities for those systems are not compatible with the assumption of initially circular orbits.

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