Singh Jagadish, Ashagwu Blessing Samuel
Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria.
Department of Mathematics, Air Force Institute of Technology (AFIT), Kaduna, Nigeria.
Sci Rep. 2024 May 21;14(1):11564. doi: 10.1038/s41598-024-61935-1.
This study investigates the motion of a test particle around triangular equilibrium points in the elliptic restricted three-body problem (ER3BP) under the influence of the two oblate and radiating primaries having Poynting-Robertson (P-R) drag. It is observed that the position of triangular points of the problem is affected by oblateness, radiation pressure, eccentricity, semi-major axis and Poynting-Robertson (P-R) drag. The stability of these points is demonstrated analytically by the Routh-Hurwitz criterion. It is seen that they are unstable under the combined effect of involved parameters. The effect of these parameters on the position of triangular points is examined numerically using the binary systems, 61 Cygni and Archird. The results obtained by these binary systems can be used to broaden the scope of interest in astronomy, astrophysics, space science and celestial mechanics in general.
本研究探讨了在椭圆限制性三体问题（ER3BP）中，受两个具有庞廷-罗伯逊（P-R）阻力的扁率和辐射主天体影响时，测试粒子围绕三角形平衡点的运动。据观察，该问题三角形点的位置受扁率、辐射压力、偏心率、半长轴和庞廷-罗伯逊（P-R）阻力的影响。通过劳斯-赫尔维茨准则对这些点的稳定性进行了解析证明。可以看出，在相关参数的综合作用下它们是不稳定的。利用61天鹅座和阿奇尔双星系统，对这些参数对三角形点位置的影响进行了数值研究。这些双星系统获得的结果一般可用于拓宽天文学、天体物理学、空间科学和天体力学的研究范围。
