揭示具有扁长或扁圆暗物质晕成分的星系模型中的周期轨道网络
Revealing the network of periodic orbits in galaxy models with a prolate or an oblate dark matter halo component
摘要：
确定星系中周期轨道的位置无疑是一个至关重要的问题。我们揭示的位置和稳定性的周期轨道的恒星运动在$(R,z)$平面的轴对称星系模型与磁盘，一个球形的核，和双轴暗物质晕组件。特别地，我们研究了动力系统的所有相关参数如何影响所有共振族的位置和稳定性。为了定位的位置和测量的稳定性的周期轨道，我们使用一个高度敏感的数字代码，它能够识别谐振周期轨道的类型$n:m$。两种情况下，每个参数进行了研究：（i）的情况下，暗物质晕组件是扁长的和（ii）的情况下，扁圆暗物质晕存在。我们的数值研究表明，所有的动力学量，或多或少的影响，周期轨道的位置和稳定性。结果表明，核质量、盘质量、晕压扁参数、晕标长、角动量和轨道总能量是影响最大的量，而其他参数的影响则要小得多.
英文摘要：
Locating the position of periodic orbits in galaxies is undoubtedly an issue of paramount importance. We reveal the position and the stability of periodic orbits of stars moving in the meridional plane $(R,z)$ of an axially symmetric galactic model with a disk, a spherical nucleus, and a biaxial dark matter halo component. In particular, we study how all the involved parameters of the dynamical system influence the position and the stability of all resonant families. To locate the position and measure the stability of periodic orbits we use a highly sensitive numerical code which is able to identify resonant periodic orbits of the type $n:m$. Two cases are studied for every parameter: (i) the case where the dark matter halo component is prolate and (ii) the case where an oblate dark matter halo is present. Our numerical exploration reveals that all the dynamical quantities affect, more or less, the position and the stability of the periodic orbits. It is shown that the mass of the nucleus, the mass of the disk, the halo flattening parameter, the scale length of the halo, the angular momentum, and the total orbital energy are the most influential quantities, while the effect of all other parameters is much weaker.
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