M. Shahbaz Ullah , M. Javed Idrisi , Kumari Shalini
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引用次数: 0
摘要
在本文中,我们旨在展示在 Sitnikov 五体问题的椭圆情况下,主星的反照率和偏心率对无穷小质量的重大影响。我们采用范德尔波尔变换和平均技术来制定无穷小质量的平均运动方程。随后,利用作用角变量 I 和 θ 推导出哈密顿运动方程。此外,我们还通过对雅各比椭圆函数 sn 进行典型变换,得到了 θ。这项研究利用首次回归图探索了存在反照率和偏心率的各种轨道,如规则轨道、周期轨道、准周期轨道、混沌轨道或随机轨道。研究发现,随着反照率效应的增加,出现了混乱和随机区域,扰乱了周期性的管状和岛状轨道。此外,通过增加反照率效应和主星的偏心率,还发现了几个周期轨道系列。
Investigating the albedo effects on the dynamics of infinitesimal mass in the elliptic Sitnikov five-body problem
In this paper, we aim to showcase the significant impacts of albedo and eccentricity of the primaries on the infinitesimal mass within the elliptic case of the Sitnikov five-body problem. The Van der Pol transformation and averaging technique were employed to formulate the averaged equations of motion for the infinitesimal mass. Subsequently, the Hamiltonian equations of motion were derived using the action angle variables and . Additionally, we obtained in terms of the Jacobi elliptic function through a canonical transformation. The investigation utilized the first return map to explore various orbits such as regular, periodic, quasi-periodic, chaotic, or stochastic in the presence of albedo and eccentricity. It was observed that chaotic and stochastic regions emerged as the albedo effect increased, disrupting the periodic tubes and islands. Moreover, by escalating the albedo effect and eccentricity of the primaries, several families of periodic orbits were revealed.
期刊介绍:
New Astronomy publishes articles in all fields of astronomy and astrophysics, with a particular focus on computational astronomy: mathematical and astronomy techniques and methodology, simulations, modelling and numerical results and computational techniques in instrumentation.
New Astronomy includes full length research articles and review articles. The journal covers solar, stellar, galactic and extragalactic astronomy and astrophysics. It reports on original research in all wavelength bands, ranging from radio to gamma-ray.