{"title":"A model of a spiral galaxy with finite thickness","authors":"Huang Ying-liang","doi":"10.1016/0146-6364(80)90062-6","DOIUrl":null,"url":null,"abstract":"<div><p>A first-order asymptotic solution (rapid phase variation) of the Poisson's equation for the three-dimensional potential in a special model is applied to a stationary, polytropic gas disk. After considering the vertical motion and the three-dimensional distributions of the physical parameters, a dispersion relation is derived. Numerical examples are calculated for the Schmidt model galaxy and for a thick galaxy to illustrate the variation of the wave number with height which may possibly account for certain observed facts about spiral arms.</p></div>","PeriodicalId":100241,"journal":{"name":"Chinese Astronomy","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1980-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0146-6364(80)90062-6","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chinese Astronomy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0146636480900626","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A first-order asymptotic solution (rapid phase variation) of the Poisson's equation for the three-dimensional potential in a special model is applied to a stationary, polytropic gas disk. After considering the vertical motion and the three-dimensional distributions of the physical parameters, a dispersion relation is derived. Numerical examples are calculated for the Schmidt model galaxy and for a thick galaxy to illustrate the variation of the wave number with height which may possibly account for certain observed facts about spiral arms.
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