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...

Full description

Saved in:
Bibliographic Details
Published in:Applied 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
Language:English
Published: Beirut Sciendo 01.07.2020
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Subjects:
37N05
70F07
70F15
Asteroids belt effect
Linear Stability
Periodic orbits
Restricted three bodies problem
ISSN:2444-8656, 2444-8656
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
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
ObjectType-Feature-2
content type line 14
ISSN:2444-8656
2444-8656
DOI:10.2478/amns.2020.2.00022