三体相互作用下R3BP中Lyapunov族及其空间分支的数值探索

IF 3.2 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2025-05-23 DOI:10.1016/j.ijnonlinmec.2025.105152

Vassilis S. Kalantonis , Omiros Ragos , Angela E. Perdiou , Efstathios A. Perdios

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引用次数: 0

摘要

在这项研究中，我们考虑了经典限制三体问题的扩展，其中包含了额外的三体相互作用，并研究了由此产生的周期轨道。具体来说，我们分析了共线平衡点出现的平面周期轨道的Lyapunov族及其垂直稳定性特征。此外，我们深入研究了从这些平面族分岔的三维周期轨道，重点关注周期等于、两倍或三倍于相关李亚普诺夫轨道周期的空间分岔。我们的发现揭示了各种对称类型的存在，如平面-平面，轴-轴或两者的组合。我们的分析是针对一组与质量比较大的双星系统有关的参数值进行的。

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Numerical exploration of the Lyapunov families and their spatial bifurcations in the R3BP under the presence of a three-body interaction

In this study, we consider an extension of the classical restricted three-body problem in which an additional three-body interaction is incorporated and investigate the resulting periodic orbits. Specifically, we analyze the Lyapunov families of planar periodic orbits that emerge from the collinear equilibrium points, along with their vertical stability characteristics. Furthermore, we delve into the three-dimensional periodic orbits that bifurcate from these planar families, focusing on spatial bifurcations with periods that are equal to, double or triple the period of the associated Lyapunov orbits. Our findings reveal the presence of various symmetry types, such as plane–plane, axis–axis or combination of both. Our analysis has been conducted for a set of parameter values associated with binary systems of a relatively large mass ratio.

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.