论文标题
简单且逼真的银河模型中的Lynden-Bell棒形成机制
The Lynden-Bell bar formation mechanism in simple and realistic galactic models
论文作者
论文摘要
使用规范的汉密尔顿 - 雅各比（Hamilton-Jacobi）方法，我们根据轨道捕获的概念平行于椭圆形势扭曲的长轴或短轴研究林登 - 贝尔形成的林登 - 贝尔概念。该概念认为是一个单个参数 - 在角动量上预进时间率的衍生物的符号，确定了被困轨道的方向。我们得出了一种扰动哈密顿式，其中包含两个表征背景光盘和扰动的参数，这些参数与早期已知的参数一样重要。这使我们能够将概念与线性扰动理论，弱条理论中的矩阵方法联系起来，并解释在N体模拟中观察到的非线性世俗进化的某些特征。
Using the canonical Hamilton-Jacobi approach we study the Lynden-Bell concept of bar formation based on the idea of orbital trapping parallel to the long or short axes of the oval potential distortion. The concept considered a single parameter - a sign of the derivative of the precession rate over angular momentum, determining the orientation of the trapped orbits. We derived a perturbation Hamiltonian which includes two more parameters characterising the background disc and the perturbation, that are just as important as the earlier known one. This allows us to link the concept with the matrix approach in linear perturbation theory, the theory of weak bars, and explain some features of the nonlinear secular evolution observed in N-body simulations.
