Characteristics of collinear points in the elliptic restricted three-body problem with oblateness, radiation and Poynting-Robertson drag

IF 2.8 3区地球科学 Q2 ASTRONOMY & ASTROPHYSICS

Advances in Space Research Pub Date : 2025-03-08 DOI:10.1016/j.asr.2025.03.010

Jagadish Singh , Blessing Samuel Ashagwu

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Abstract

This paper deals with the motion of a body of infinitesimal mass (third body) around collinear equilibrium points in the elliptic restricted three-body problem (ER3BP) whose massive bodies (primaries) are oblate and luminous together with Poynting-Robertson (P-R) drag. The effects of the oblateness, radiation pressure and P-R drag of the primaries and the eccentricity and semi-major axis of the orbits on the positions and stability of collinear points are examined analytically and numerically. It is observed that due to the presence of P-R drags, a new collinear point

L_{0}

exists apart from classical collinear points

L_{1, 2, 3}

. Various trends of shifts in the positions of these points are observed. The stability of these points is demonstrated by the Routh-Hurwitz criterion and it is found that they are all unstable. The numerical explorations conducted for the binary systems 61 Cygni and Archird also reveal how the involved parameters affect the positions and stability of these points and conformity with the analytical results obtained.

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具有扁率、辐射和Poynting-Robertson阻力的椭圆型受限三体问题中共线点的特征

本文研究了椭圆型受限三体问题（ER3BP）中质量无穷小的三体（第三体）绕共线平衡点的运动，该椭圆型受限三体的主要质量体为扁体和发光体，并考虑了P-R阻力。用解析和数值方法研究了原星的扁率、辐射压力和P-R阻力以及轨道的偏心和半长轴对共线点位置和稳定性的影响。观察到，由于P-R阻力的存在，除了经典的共线点L1、2、3外，还存在一个新的共线点L0。观察到这些点位置变化的各种趋势。用Routh-Hurwitz准则证明了这些点的稳定性，发现它们都是不稳定的。对双星系统61 Cygni和Archird进行的数值探索也揭示了所涉及的参数如何影响这些点的位置和稳定性，并与分析结果相吻合。

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

Advances in Space Research 地学天文-地球科学综合

CiteScore

5.20

自引率

11.50%

发文量

800

审稿时长

5.8 months

期刊介绍： The COSPAR publication Advances in Space Research (ASR) is an open journal covering all areas of space research including: space studies of the Earth''s surface, meteorology, climate, the Earth-Moon system, planets and small bodies of the solar system, upper atmospheres, ionospheres and magnetospheres of the Earth and planets including reference atmospheres, space plasmas in the solar system, astrophysics from space, materials sciences in space, fundamental physics in space, space debris, space weather, Earth observations of space phenomena, etc. NB: Please note that manuscripts related to life sciences as related to space are no more accepted for submission to Advances in Space Research. Such manuscripts should now be submitted to the new COSPAR Journal Life Sciences in Space Research (LSSR). All submissions are reviewed by two scientists in the field. COSPAR is an interdisciplinary scientific organization concerned with the progress of space research on an international scale. Operating under the rules of ICSU, COSPAR ignores political considerations and considers all questions solely from the scientific viewpoint.