{"title":"An Application of Asymptotic Analysis in Linear Stellar Pulsation: a Case of Non-distinct Characteristic Roots","authors":"C. J. Winfield","doi":"10.3103/S0884591324040056","DOIUrl":null,"url":null,"abstract":"<p>We study a system of equations, involving a large parameter, arising from the study of stellar pulsation for which a combination of procedures is used to approximate a fun damental solution. We present a combination of singular and non-singular perturbation methods which, aided by symbolic computation, may be of multi-disciplinary interest for the analysis as well as a astrophysics application. Example software is presented in the Wolfram Language (Mathematica version 13.2).</p>","PeriodicalId":681,"journal":{"name":"Kinematics and Physics of Celestial Bodies","volume":"40 4","pages":"225 - 234"},"PeriodicalIF":0.5000,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kinematics and Physics of Celestial Bodies","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.3103/S0884591324040056","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
We study a system of equations, involving a large parameter, arising from the study of stellar pulsation for which a combination of procedures is used to approximate a fun damental solution. We present a combination of singular and non-singular perturbation methods which, aided by symbolic computation, may be of multi-disciplinary interest for the analysis as well as a astrophysics application. Example software is presented in the Wolfram Language (Mathematica version 13.2).
期刊介绍：
Kinematics and Physics of Celestial Bodies is an international peer reviewed journal that publishes original regular and review papers on positional and theoretical astronomy, Earth’s rotation and geodynamics, dynamics and physics of bodies of the Solar System, solar physics, physics of stars and interstellar medium, structure and dynamics of the Galaxy, extragalactic astronomy, atmospheric optics and astronomical climate, instruments and devices, and mathematical processing of astronomical information. The journal welcomes manuscripts from all countries in the English or Russian language.
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