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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Veröffentlicht in:Applied mathematics and nonlinear sciences Jg. 5; H. 2; S. 157 - 176
Hauptverfasser: Abozaid, Ahmed A., Selim, H. H., Gadallah, Kamel A. K., Hassan, I. A., Abouelmagd, Elbaz I.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Beirut Sciendo 01.07.2020
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Schlagworte:
37N05
70F07
70F15
Asteroids belt effect
Linear Stability
Periodic orbits
Restricted three bodies problem
ISSN:2444-8656, 2444-8656
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung: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.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2444-8656
2444-8656
DOI:10.2478/amns.2020.2.00022