Impact of a Disc and Drag Forces on the Existence Linear Stability of Equilibrium Points and Newton-Raphson Basins of Attraction

IF 0.5 4区物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS

Kinematics and Physics of Celestial Bodies Pub Date : 2022-05-01 DOI:10.15407/kfnt2022.03.076

S. Yousuf, R. Kishor

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Abstract

Abstract This paper presents a study of zero velocity curves, linear stability analysis and basins of attraction corresponding to the equilibrium points in the Sun-Jupiter system with asteroid belt and β-Pictoris system with dust belt, respectively under the influence of perturbing factors in the form of Poynting-Robertson drag (P-R drag), solar wind drag and a disc, which is rotating about the common center of mass of the system. Zero velocity curves are obtained and it is observed that in the presence of perturbing factors, the prohibited regions of the motion of infinitesimal mass get disturbed. Again, linear stability and effects of perturbing factors are analyzed for the triangular equilibrium points. It is noticed that because of P-R drag, triangular equilibrium points become unstable within the stability range. Finally, the Newton-Raphson basins of attraction corresponding to the equilibrium points are computed and it is found that in the presence of the disc, geometry of the basins of attraction gets change, whereas the effects of remaining perturbing factors on the structure of basins of attraction are very small.

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圆盘和阻力对平衡点和Newton-Raphson吸引基存在线性稳定性的影响

摘要本文研究了在波印廷·罗伯逊阻力（P-R阻力）、太阳风阻力和圆盘等扰动因子的影响下，带小行星带的太阳-木星系统和带尘埃带的β-皮克托里斯系统中平衡点对应的零速度曲线、线稳定性分析和引力盆地，其围绕系统的共同质心旋转。得到了零速度曲线，观察到在扰动因子存在的情况下，无穷小质量运动的禁区受到扰动。再次，分析了三角形平衡点的线性稳定性和扰动因素的影响。值得注意的是，由于P-R阻力，三角形平衡点在稳定范围内变得不稳定。最后，计算了平衡点对应的Newton-Raphson吸引池，发现在圆盘存在的情况下，吸引池的几何形状发生了变化，而剩余扰动因子对吸引池结构的影响很小。

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

Kinematics and Physics of Celestial Bodies ASTRONOMY & ASTROPHYSICS-

CiteScore

0.90

自引率

40.00%

发文量

审稿时长

>12 weeks

期刊介绍： Kinematics and Physics of Celestial Bodies is an international peer reviewed journal that publishes original regular and review papers on positional and theoretical astronomy, Earth’s rotation and geodynamics, dynamics and physics of bodies of the Solar System, solar physics, physics of stars and interstellar medium, structure and dynamics of the Galaxy, extragalactic astronomy, atmospheric optics and astronomical climate, instruments and devices, and mathematical processing of astronomical information. The journal welcomes manuscripts from all countries in the English or Russian language.