论文标题
S型星球的极端倾斜轨道$γ$ CEP AB由偏心Kozai-Lidov机制引起
Extremely Inclined Orbit of S-type Planet $γ$ Cep Ab Induced by Eccentric Kozai-Lidov Mechanism
论文作者
论文摘要
$γ$ CEP AB是一个典型的S型行星，相对于二进制，它占据了几乎垂直的行星轨道。在这里，我们使用马尔可夫链蒙特卡洛（MCMC）采样器进行完整的N体拟合，并为此分层系统提供自洽的轨道溶液。然后，我们采用偏心的Kozai-Lidov（EKL）机制来解释S型行星$γ$ CEP AB的极倾斜轨道。 EKL机制在探索相互倾斜度的显着振荡$ i _ {\ mathrm {mut}} $之间起着至关重要的作用。我们进行定性分析和广泛的数值集成，以研究$γ$ CEP AB轨道的翻转条件和时间尺度。当行星质量为15 $ M _ {\ Mathrm {Jup}} $时，行星可以达到$ i _ {\ Mathrm {mathrm {mut}} \ sim $ 113 $ 113 $^{\ circ} $，并具有$ i _ {\ mathrm {mut {mut {mut {mut}} <60} <60^$ circ <0的关键初始条件，$ i _第一轨道翻转的时间尺度随着摄动哈密顿量的增加而减小。 $γ$ CEP AB的翻转轨道已证实，根据截面和世俗稳定标准保持稳定的可能性很大。此外，我们将EKL的应用扩展到具有$ a_1/a_2/a_2 \ leq0.1 $的一般S型行星系统，其中$ i _ {\ Mathrm {mutrm {mutrm {mut}} $的最激发时会发生$ a_1/a_1/a_2 = 0.1 $和$ e_2 $ 0.8 $ 0.8 $ 0.8 $ 0.8 $ 0.8 $ 0.8 $ 0.8 $ 0.8 $ 0.8 $ 0.8 $ 0.8美元。 $ e_1 \ leq 0.3 $。
$γ$ Cep Ab is a typical S-type planet, which occupies a nearly perpendicular planetary orbit relative to the binary. Here we use the Markov Chain Monte Carlo (MCMC) sampler to conduct full N-body fitting and derive self-consistent orbital solutions for this hierarchical system. Then we employ the Eccentric Kozai-Lidov (EKL) mechanism to explain the extremely inclined orbit of S-type planet $γ$ Cep Ab. The EKL mechanism plays an essential role in exploring significant oscillations of the mutual inclination $i_{\mathrm{mut}}$ between the planet and the secondary star. We perform qualitative analysis and extensive numerical integrations to investigate the flip conditions and timescales of $γ$ Cep Ab's orbit. When the planetary mass is 15 $M_{\mathrm{Jup}}$, the planet can reach $i_{\mathrm{mut}} \sim$ 113$^{\circ}$ with the critical initial conditions of $i_{\mathrm{mut}} < 60^{\circ}$ and $e_1<0.7$. The timescale for the first orbital flip decreases with the increase of the perturbation Hamiltonian. Flipping orbits of $γ$ Cep Ab are confirmed to have a large possibility to retain stable based on surfaces of section and the secular stability criterion. Furthermore, we extend the application of EKL to general S-type planetary systems with $a_1/a_2\leq0.1$, where the most intense excitation of $i_{\mathrm{mut}}$ occurs when $a_1/a_2=0.1$ and $e_2 \sim 0.8$, and the variation of planetary mass mainly affect the flip possibility where $e_1\leq 0.3$.
