The Predictions of Noncollinear Equilibria Positions in ER3BP with Yukawa-Like Corrections

IF 1.6 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Advances in Astronomy Pub Date : 2023-07-25 DOI:10.1155/2023/7118712
E. B. Anitha, Tenaw Tilahun Asmamaw, M. J. Idrisi
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引用次数: 1

Abstract

The existence and stability of noncollinear equilibrium points in the elliptic restricted three-body problem under the consideration of Yukawa correction to Newtonian potential are studied in this paper. The effects of various parameters (μ, ê, α, and λ) on the noncollinear equilibrium points are discussed briefly, and it is found that only ordinate of noncollinear equilibria E4,5 is affected by Yukawa correction while abscissa is affected by only mass parameter μ. The noncollinear equilibria was found linearly stable for a critical mass parameter μc. A critical point λ = ½ is also obtained for the critical mass parameter μc, and at this point, the critical mass parameter μc has maximum or minimum values according to α < 0 or α > 0, respectively.
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用Yukawa样修正对ER3BP中非共线平衡位置的预测
本文研究了考虑牛顿势Yukawa修正的椭圆约束三体问题中非共线平衡点的存在性和稳定性。简要讨论了各种参数(μ、ê、α和λ)对非共线平衡点的影响,发现只有非共线平衡E4,5的纵坐标受到Yukawa校正的影响,而横坐标只受到质量参数μ的影响。对于临界质量参数μc,发现非共线平衡是线性稳定的。临界点λ = 临界质量参数μc也获得½,此时,根据α,临界质量参数µc具有最大值或最小值  0。
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
Advances in Astronomy
Advances in Astronomy ASTRONOMY & ASTROPHYSICS-
CiteScore
2.70
自引率
7.10%
发文量
10
审稿时长
22 weeks
期刊介绍: Advances in Astronomy publishes articles in all areas of astronomy, astrophysics, and cosmology. The journal accepts both observational and theoretical investigations into celestial objects and the wider universe, as well as the reports of new methods and instrumentation for their study.
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