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arXiv 2102.12889astro-ph.GA
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星系棒在螺旋臂形成中的作用:通过轨道和逃逸动力学进行的研究- I

Role of galactic bars in the formation of spiral arms: A study through orbital and escape dynamics -- I

Debasish Mondal, Tanuka Chattopadhyay

摘要:

本文建立了一个棒星系的三维引力模型,以研究中央棒星系区域内恒星的轨道动力学和逃逸动力学。我们的引力模型由四个部分组成:中心核、棒、盘和暗物质晕。此外,我们还分析了两种不同类型的杆势模型。研究已经进行了一个哈密顿系统和彻底的数值研究已经完成,以分类定期和混沌运动的恒星。我们已经看到,逃逸机制只在哈密顿系统的鞍点($L_2$,$L_4$和$L_2^{'}$,$L_4^{'}$)附近出现过。$x$ - $y$平面的轨道结构表明,这种逃逸运动对应于杆的两端。通过计算对应于特定初始条件向量的恒星轨道的最大李雅普诺夫指数,得到轨道的分类。在$x$ - $y$和$x$ - $p_x$($p_x$是沿$x$ -方向的动量)平面上研究Poincaré表面截面图,以得到系统在相空间中逃逸性质的完整视图。详细研究了混沌动力学随杆的质量、长度和性质的变化规律。我们发现,在适当的物理条件下,混沌起着关键的作用背后的大设计或弱螺旋图案的形成较强的酒吧和环结构较弱的酒吧。

英文摘要:

In the present work we have developed a three-dimensional gravitational model of barred galaxies, in order to study orbital and escape dynamics of the stars inside their central barred region. Our gravitational model is composed of four components, central nucleus, bar, disc and dark matter halo. Furthermore we have analysed the model for two different types of bar potentials. The study has been carried out for a Hamiltonian system and thorough numerical studies have been done in order to categorize regular and chaotic motions of stars. We have seen that escape mechanism has only seen near saddle points ($L_2$, $L_4$ and $L_2^{'}$, $L_4^{'}$) of the Hamiltonian system. Orbital structures in $x$ - $y$ plane indicate that this escaping motion corresponds to the two ends of the bar. Classifications of orbits are found by calculating maximal Lyapunov exponent of the stellar trajectories corresponding to a specific initial condition vector. Poincaré surface section maps are studied in both $x$ - $y$ and $x$ - $p_x$ ($p_x$ is the momentum along $x$ - direction) plane to get a complete view of the escape properties of the system in the phase space. Also we studied in detail how the chaotic dynamics varies with mass, length and nature of the bar. We found that under suitable physical conditions the chaos plays a pivotal role behind the formation of grand design or poor spiral pattern for stronger bars and ring structures for weaker bars.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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