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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Vydáno v:Applied mathematics and nonlinear sciences Ročník 5; číslo 2; s. 157 - 176
Hlavní autoři: Abozaid, Ahmed A., Selim, H. H., Gadallah, Kamel A. K., Hassan, I. A., Abouelmagd, Elbaz I.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Beirut Sciendo 01.07.2020
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Témata:
37N05
70F07
70F15
Asteroids belt effect
Linear Stability
Periodic orbits
Restricted three bodies problem
ISSN:2444-8656, 2444-8656
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:2444-8656
2444-8656
DOI:10.2478/amns.2020.2.00022