On the libration collinear points in the restricted three – body problem-Reference-Cited by-同舟云学术

On the libration collinear points in the restricted three – body problem

Published:2017-03-15 Issue:1 Volume:15 Page:58-67
ISSN:2391-5471
Container-title:Open Physics
language:
Short-container-title:

Author:

Alzahrani F.¹,Abouelmagd Elbaz I.²,Guirao Juan L.G.³,Hobiny A.¹

Affiliation:

1. Nonlinear Analysis and Applied Mathematics Research Group (NAAM) Department of Mathematics, Faculty of Science, King Abdulaziz University Jeddah, Jeddah, Saudi Arabia

2. Celestial Mechanics Unit, Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), Helwan11421, Cairo, Egypt, eabouelmagd@gmail.com

3. Departamento de Matemática Aplicada y Estadística Universidad Politécnica de Cartagena Hospital de Marina 30203 Cartagena, Región de Murcia, Murcia, Spain

Abstract

AbstractIn the restricted problem of three bodies when the primaries are triaxial rigid bodies, the necessary and sufficient conditions to find the locations of the three libration collinear points are stated. In addition, the Linear stability of these points is studied for the case of the Euler angles of rotational motion being θi = 0, ψi + φi = π/2, i = 1, 2 accordingly. We underline that the model studied in this paper has special importance in space dynamics when the third body moves in gravitational fields of planetary systems and particularly in a Jupiter model or a problem including an irregular asteroid.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2017-0007/pdf

Reference28 articles.

1. On the perturbed restricted three-body problem;Applied Mathematics and Nonlinear Sciences,2016

2. The effect of photogravitational force and oblateness in the perturbed restricted three-body problem;Ap&SS,2013

3. On the periodic structure in the planar photogravitational Hill problem;Applied Mathematics & Information Science,2015

4. The linear stability of libration points of the photogravitational restricted three-body problem when the smaller primary is an oblate spheroid;Ap&SS,1987

5. Periodic and secular solutions in the restricted three body problem under the effect of zonal harmonic parameters;Applied Mathematics & Information Science,2015

Cited by 37 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Retrograde orbits associated separatrices in perturbed restricted three-body problem;Chaos, Solitons & Fractals;2024-10

2. Investigation of Motion around Out-of-plane Points in the Restricted Three-Body Problem with Variable Shape and Masses;New Astronomy;2024-09

3. Investigating the properties of equilibrium points of the collinear restricted 4-body problem;Planetary and Space Science;2023-11

4. Quasi-conservative Integration Method for Restricted Three-body Problem;The Astrophysical Journal;2023-06-01

5. Periodic Orbits Analysis of Elliptical Sun–Saturn System;Astronomy Reports;2023-05