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

IF 1.9 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
M.C. Asique , S. Alhowaity , A. Alhowaity , H. Hamam , M.S. Suraj
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引用次数: 0

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.

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
Astronomy and Computing
Astronomy and Computing ASTRONOMY & ASTROPHYSICSCOMPUTER SCIENCE,-COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
CiteScore
4.10
自引率
8.00%
发文量
67
期刊介绍: Astronomy and Computing is a peer-reviewed journal that focuses on the broad area between astronomy, computer science and information technology. The journal aims to publish the work of scientists and (software) engineers in all aspects of astronomical computing, including the collection, analysis, reduction, visualisation, preservation and dissemination of data, and the development of astronomical software and simulations. The journal covers applications for academic computer science techniques to astronomy, as well as novel applications of information technologies within astronomy.
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