Exploring the equilibrium dynamics of an infinitesimal body in the perturbed problem of five bodies

IF 5.3 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Md Sanam Suraj, Elbaz I. Abouelmagd, Mani Bhushan, Md Chand Asique
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引用次数: 0

Abstract

This work aims to analyze the dynamics of the restricted five-body problem when the primaries are non-spherical spheroids. We explored numerically three different scenarios: (i) when only the main body creates a potential with either oblateness or prolateness effect; (ii) when only peripheral bodies generate potentials with either oblateness or prolateness effects; and (iii) when all the primary bodies create potentials with either oblateness or prolate effects. We conducted a numerical analysis to study the motion of infinitesimal body under the gravitational influence of four non-spherical primaries. In this analysis, we revealed that the oblate or prolate bodies significantly affect the dynamics of the equilibrium points (EPs), their linear stability, and permissible regions of motion. Furthermore, we demonstrate that the total number of EPs depends on the mass parameter, the oblateness and prolateness parameters or the combinations of these parameters. The specific ranges of oblateness or prolateness values where the equilibrium points are linearly stable are also found.
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来源期刊
Chaos Solitons & Fractals
Chaos Solitons & Fractals 物理-数学跨学科应用
CiteScore
13.20
自引率
10.30%
发文量
1087
审稿时长
9 months
期刊介绍: Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.
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