基于聚类算法的毕星团恒星判定与赫-罗图绘制设计研究

Research on Star Determination and Hertzsprung Diagram Drawing Design of Bi Cluster based on Clustering Algorithm

本文旨在利用依巴谷星表中同一星团恒星的特性,使用恒星的赤经、赤纬、距离以及自行速度和角度进行系统聚类。通过将系统聚类算法得出的结果与毕星团实际在天区中的位置和形状相比对,共确定了112颗可能属于毕星团的恒星,并利用DBSCAN聚类算法进行检验。通过三角测量法原理将视差角换算为距离,再用普森公式将视星等与距离换算为绝对星等。最终以色指数为横轴,绝对星等为纵轴绘制出毕星团的赫-罗图与星表中所有恒星的赫罗图。

This article aims to use the characteristics of stars in the same star cluster in the hipparcos catalogue to systematically cluster stars based on their right ascension,right ascension,distance,as well as their own velocities and angles.By comparing the results obtained from the system clustering algorithm with the actual position and shape of the bixing cluster in the sky,a total of 112 stars that may belong to the bixing cluster were identified,and the DBSCAN clustering algorithm was used for verification.By using the principle of triangulation,the parallax angle is converted into distance,and then the apparent magnitude and distance are converted into absolute magnitude using the Simpson formula.Finally,using the color index as the horizontal axis and the absolute magnitude as the vertical axis,the hertzsprung diagram of the bi star cluster and the Hertzsprung diagram of all stars in the catalog are plotted.