简单和现实星系模型中林登-贝尔棒的形成机制
The Lynden-Bell bar formation mechanism in simple and realistic galactic models
摘要：
利用正则Hamilton-Jacobi方法，我们研究了基于平行于椭圆势畸变的长轴或短轴的轨道捕获思想的杆形成的Lynden-Bell概念。这个概念考虑了一个单一的参数--进动率对角动量的导数的符号，决定了被困轨道的方向。我们推导出一个扰动哈密顿量，其中包括两个以上的参数表征的背景光盘和扰动，这是一样重要的，因为以前已知的。这使我们能够将这个概念与线性微扰理论中的矩阵方法，弱杆理论联系起来，并解释在N体模拟中观察到的非线性长期演化的一些特征。
英文摘要：
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.
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