An Application of Asymptotic Analysis in Linear Stellar Pulsation: a Case of Non-distinct Characteristic Roots

IF 0.5 4区 物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS
C. J. Winfield
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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).

Abstract Image

线性恒星脉动中渐近分析的应用:一个特征根不明显的案例
摘要 我们研究了恒星脉动研究中产生的一个涉及大参数的方程组,该方程组采用了多种方法来近似求解。我们介绍了奇异和非奇异扰动方法的组合,在符号计算的辅助下,这些方法在分析和天体物理学应用方面可能具有多学科的意义。示例软件采用 Wolfram 语言(Mathematica 13.2 版)。
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来源期刊
Kinematics and Physics of Celestial Bodies
Kinematics and Physics of Celestial Bodies ASTRONOMY & ASTROPHYSICS-
CiteScore
0.90
自引率
40.00%
发文量
24
审稿时长
>12 weeks
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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