Periodic orbit in the frame work of restricted three bodies under the asteroids belt effect

In this paper, we present a comprehensive analytical study on the perturbed restricted three bodies problem. We formulate the equations of motion of this problem, in the event of the asteroids belt perturbation. We find the locations of equilibrium points (collinear and triangular points) and analys...

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Published inApplied mathematics and nonlinear sciences Vol. 5; no. 2; pp. 157 - 176
Main Authors Abozaid, Ahmed A., Selim, H. H., Gadallah, Kamel A. K., Hassan, I. A., Abouelmagd, Elbaz I.
Format Journal Article
LanguageEnglish
Published Beirut Sciendo 01.07.2020
De Gruyter Poland
Subjects
37N05
70F07
70F15
Asteroids belt effect
Linear Stability
Periodic orbits
Restricted three bodies problem
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Summary:In this paper, we present a comprehensive analytical study on the perturbed restricted three bodies problem. We formulate the equations of motion of this problem, in the event of the asteroids belt perturbation. We find the locations of equilibrium points (collinear and triangular points) and analysis their linear stability. Furthermore the periodic orbits around both collinear and triangular points are found.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2444-8656
2444-8656
DOI:10.2478/amns.2020.2.00022