In this work we determine the parameters of spiral structure for a sample of face-on spiral galaxies. In practice, the solution of this problem is a hard task because of the diversity of the observed characteristics of spiral structure, such as the arm number, their shape, arm contrast etc. In this work we study spiral structure in galaxies based on an analysis of photometric cuts perpendicular to the arm direction. The method is based on an approximation of these slices with an analytical function and derivation of the parameters of spiral structure (arm width, asymmetry, pitch angle) using the fitted parameters of this approximation. The algorithm has been applied to a sample of 155 galaxies selected from the Sloan Digital Sky Survey in different passbands. In this paper we only consider the results on the arm width: most spirals show an increase of their width with galactocentric distance. Only 14 per cent of galaxies in our sample show an opposite trend or have an almost constant arm width at all radii.

中文翻译：

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星系中螺旋图案参数的研究：臂宽

在这项工作中，我们确定了一个面向螺旋星系样本的螺旋结构参数。在实践中，这个问题的解决是一项艰巨的任务，因为观测到的螺旋结构特征的多样性，如臂数、它们的形状、臂对比度等。在这项工作中，我们在分析的基础上研究了星系中的螺旋结构垂直于手臂方向的光度切割。该方法基于这些切片的近似值，具有解析函数和使用该近似值的拟合参数推导螺旋结构参数（臂宽、不对称性、俯仰角）。该算法已应用于从不同通带的斯隆数字巡天中选出的 155 个星系的样本。在本文中，我们只考虑臂宽上的结果：大多数螺旋显示其宽度随着半乳中心距离的增加而增加。在我们的样本中，只有 14% 的星系表现出相反的趋势，或者在所有半径上都具有几乎恒定的臂宽。