Interaction of bodies in the circular restricted 3-body problem with variable mass

被引：13

作者：

Albidah, A. B. ^{[1
]}

Ansari, A. A. ^{[2
,3
]}

Kellil, R. ^{[4
]}

机构：

[1] Majmaah Univ, Coll Sci Al Zulfi, Dept Math, Al Majmaah 11952, Saudi Arabia

[2] Univ Delhi, Shivaji Coll, Dept Math, New Delhi, India

[3] Int Ctr Adv Interdisciplinary Res ICAIR, New Delhi, India

[4] Abbes Laghrour Univ, Khenchela 40000, Algeria

来源：

ASTRONOMY AND COMPUTING | 2023年 / 42卷

关键词：

Modified problem; Variable mass; Interaction; Unstable; PHOTOGRAVITATIONAL HILL PROBLEM; EQUILIBRIUM POINTS; STABILITY; OBLATENESS; PRIMARIES; PERTURBATIONS; RADIATION; FRAME;

D O I：

10.1016/j.ascom.2023.100688

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

This paper presents the motion properties of a test particle under gravitational forces generated by the primaries. The interactions of three-body and the effects of the Coriolis as well as centrifugal forces are also considered in this 3-body configuration. It is assumed that the mass of the test particle varies according to Jean's law. Given all these perturbations, we determine the equations of motion and quasi-Jacobi integral. And then, we numerically investigate position and nature of equilibrium points, regions of motion, Poincare surfaces of section, basins of attraction, periodic orbits and stability of the equilibrium points. (c) 2023 Published by Elsevier B.V.

引用

页数：10

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