Parametric stability of a double pendulum with variable length and with its center of mass in an elliptic orbit

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.3934/jgm.2021031

José Laudelino de Menezes Neto, G. C. Araujo, Yocelyn Pérez Rothen, C. Vidal

引用次数: 1

Abstract

We consider the planar double pendulum where its center of mass is attached in an elliptic orbit. We consider the case where the rods of the pendulum have variable length, varying according to the radius vector of the elliptic orbit. We make an Hamiltonian view of the problem, find four linearly stable equilibrium positions and construct the boundary curves of the stability/instability regions in the space of the parameters associated with the pendulum length and the eccentricity of the orbit.

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椭圆轨道上变长质心双摆的参数稳定性

我们考虑一个平面双摆，它的质心附着在一个椭圆轨道上。我们考虑摆杆的长度随椭圆轨道的半径矢量而变化的情况。我们用哈密顿的观点来看待这个问题，找到了四个线性稳定的平衡位置，并在与摆长和轨道偏心率相关的参数空间中构造了稳定/不稳定区域的边界曲线。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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