傅里叶级数在具有扁圆原生质的CR3BP中测试粒子动力学中的应用

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2025-02-11 DOI:10.1016/j.ijnonlinmec.2025.105030

Om Prakash Meena , Manas Lohani , Soham Sen , Deepesh Mishra , Rajiv Aggarwal

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引用次数: 0

摘要

这项研究深入研究了圆形受限三体问题（CR3BP）中的周期轨道，其中可以忽略不计的质量在两个主要物体的引力作用下运行。具体来说，我们研究了CR3BP中具有扁圆较大原发体的第三个体的动力学。我们使用傅立叶级数方法确定围绕振动点的周期轨道，考虑到较大原星的扁球体形状。我们分析了短周期轨道和长周期轨道，用变分图来描述轨道周期T的变化。此外，我们研究了扁率和质量参数如何影响周期轨道的尺寸和周期。

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Application of Fourier series to the dynamics of a test particle in the CR3BP with an oblate primary

This study delves into periodic orbits within the circular restricted three-body problem (CR3BP), where a negligible mass orbits under the gravitational pull of two primary bodies. Specifically, we examine the dynamics of the third body in the CR3BP with an oblate larger primary. We determine periodic orbits around the libration points, accounting for the oblate spheroidal shape of the larger primary, using the Fourier series method. We analyze both short and long periodic orbits, presenting variational graphs to depict changes in the period

T

of the orbits. Furthermore, we investigate how oblateness and mass parameters affect the dimensions and periods of the periodic orbits.

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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.