应用碰撞环Galerkin的解析理论
Applying the Analytic Theory of Colliding Ring Galaxies
摘要：
几年前，人们提出了一个关于碰撞环星系中波动的分析理论，但当时的观测质量不足以进行定量比较。现在，对几个系统的高分辨率观测可以进行这样的比较，而从最近的Madore，Nelson和Petrillo以及银河动物园项目的汇编中获得的几十个系统的结构图像可以进一步限制理论。具有两个环的系统对于导出这样的约束特别有用。在研究了最近观测到的环的大小和结构的影响后，我扩展了分析理论，研究了极限情况，并提出了几个近似水平。该理论在近似平坦的旋转曲线的情况下特别简单。我提出了几个系统的观测比较，包括：Arp 10，车轮和AM 2136 -492。在大范围的情况下，适合性相当好。对于车轮有差异，但不一致的领域暗示了其他因素，如多次碰撞。在几乎平坦的旋转曲线的情况下，该理论的一个具体预测是，连续环的向外速度的比率近似等于环尺寸的比率。环速度也表明，在这个限制与当地的圆周速度简单地缩放。
英文摘要：
An analytic theory of the waves in colliding ring galaxies was presented some years ago, but the observations where not of sufficient quality then to make quantitative comparisons. Well-resolved observations of a few systems are now available to make such comparisons, and structure imaged in several dozen systems, derived from the recent compilation of Madore, Nelson and Petrillo and the Galaxy Zoo project, can further constrain the theory. Systems with two rings are especially useful for deriving such constraints. After examining the implications of recent observations of ring sizes and structure, I extend the analytic theory, investigate limiting cases, and present several levels of approximation. The theory is especially simple in the case of nearly flat rotation curves. I present observational comparisons for a few systems, including: Arp 10, the Cartwheel and AM2136-492. The fit is quite good over a large range of cases. For the Cartwheel there are discrepancies, but the areas of disagreement are suggestive of additional factors, such as multiple collisions. A specific prediction of the theory in the case of nearly flat rotation curves is that the ratio of the outward velocity of successive rings approximately equals the ratio of ring sizes. Ring velocities are also shown to scale simply with local circular velocities in this limit.
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