The study of equilibrium dynamics of the collinear restricted four-body problem with non-spherical test particle

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-12-14 DOI:10.1016/j.ascom.2023.100781
M.C. Asique , S. Alhowaity , A. Alhowaity , H. Hamam , M.S. Suraj
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Abstract

In the present manuscript, the dynamics of the non-spherical test particle in the planar version of spatial collinear restricted four-body problem is presented. Using the numerical methods, the parametric variation of the position of libration points (LPs) is illustrated when the oblateness/prolateness parameters vary in the pre-assumed intervals. Moreover, it is also unveiled how these parameters affect the stability of the LPs and the regions of motion. For all the LPs, we have shown their nature by classifying them not only in two category i.e., as linearly stable and unstable but also as minima, index-1, and index-2 saddles. The performed numerical investigations strongly suggest that the oblateness/prolateness parameters are indeed very influential factors in this dynamical model.

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带非球形测试粒子的共线受限四体问题的平衡动力学研究
本手稿介绍了非球形测试粒子在平面版空间碰撞受限四体问题中的动力学。利用数值方法,说明了当扁平度/广度参数在预设区间内变化时,自由点(LPs)位置的参数变化。此外,还揭示了这些参数如何影响 LP 的稳定性和运动区域。对于所有 LPs,我们不仅将其分为线性稳定和不稳定两类,还将其分为最小值、指数-1 和指数-2 鞍点,从而显示了它们的性质。
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来源期刊
Accounts of Chemical Research
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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