N体棒的轨道分类
Orbital classification in an N-body bar
摘要：
任何星系结构的动力学和演化都受到组成它的轨道性质的强烈影响.本文比较了Laskar（NAFF）和Carpintero和Aguilar（CA）的两种轨道分类方案，将它们应用于棒星系数值模拟中跟踪单个粒子得到的轨道.我们发现，至少对于我们的情况和一些附带条件，由这两种方法计算的主要频率是在很好的协议：对于$80\%$的轨道的两种方法的结果之间的差异小于$5\%$的所有三个主要频率。然而，很难评估在一个给定的系统中的规则或混沌的酒吧轨道的数量。通过NAFF方法获得的规则轨道的分数强烈地依赖于临界频率漂移参数，而在CA方法中，基频的数目强烈地依赖于频率差参数$L_{\rm r}$和用于搜索基频的线性无关性的最大整数。我们还发现，对于一个给定的粒子，在一般情况下，它的运动沿短轴的投影比其他两个投影更规则，而沿中间轴的投影是最不规则的。
英文摘要：
The dynamics and evolution of any galactic structure are strongly influenced by the properties of the orbits that constitute it. In this paper, we compare two orbit classification schemes, one by Laskar (NAFF) , and the other by Carpintero and Aguilar (CA), by applying both of them to orbits obtained by following individual particles in a numerical simulation of a barred galaxy. We find that, at least for our case and some provisos, the main frequencies calculated by the two methods are in good agreement: for $80\%$ of the orbits the difference between the results of the two methods is less than $5\%$ for all three main frequencies. However, it is difficult to evaluate the amount of regular or chaotic bar orbits in a given system. The fraction of regular orbits obtained by the NAFF method strongly depends on the critical frequency drift parameter, while in the CA method the number of fundamental frequencies strongly depends on the frequency difference parameter $L_{\rm r}$ and the maximum integer used for searching the linear independence of the fundamental frequencies. We also find that, for a given particle, in general the projection of its motion along the bar minor axis is more regular than the other two projections, while the projection along the intermediate axis is the least regular.
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