论文标题
扰动的低质量圆盘形气星II中的环形结构II：一般和多面年模型
Annular structures in perturbed low mass disc-shaped gaseous nebulae II : general and polytropic models
论文作者
论文摘要
这是两篇论文中的第二篇，我们研究了围绕中央质量旋转并服从小径向扰动的双维低质量气态盘的其他分析解。在第一篇论文中，推导了用于平衡和扰动的配置的水动力学方程，并针对气体扰动特异性质量的波状方程进行了分析，并分析了未扰动的特定质量和声速的功率定律分布的几种情况。在本文中，通过分析扰动的小频率，在分析上解决了其他两种指数的一般情况，包括多变态案例。与纸I的结论相似，即发现气体扰动特异性质量的最大值是指数分的，它们的距离比是圆盘特性和扰动频率的恒定功能。气态环形结构最终将通过从最小值的区域向外和外向气体流向扰动特异性质量的最大区域形成。
This is the second of two papers where we study additional analytical solutions of a bidimensional low mass gaseous disc rotating around a central mass and submitted to small radial perturbations. In a first Paper, hydrodynamics equations were solved for the equilibrium and perturbed configurations and a wave-like equation for the gas perturbed specific mass was deduced and solved analytically for several cases of exponents of the power law distributions of the unperturbed specific mass and sound speed. In this paper, two other general cases of exponents, including a polytropic case, are solved analytically for small frequencies of the perturbations. Similar conclusions to the ones of Paper I are found, namely that the maxima of the gas perturbed specific mass are exponentially spaced and that their distance ratio is a constant, function of disc characteristics and of the perturbations frequency. Gaseous annular structures would eventually be formed in the disc by inward and outward gas flows from zones of minima toward zones of maxima of perturbed specific mass.
