Periodic orbit in the frame work of restricted three bodies under the asteroids belt effect-Reference-Cited by-同舟云学术

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

Published:2020-07-01 Issue:2 Volume:5 Page:157-176
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Abozaid Ahmed A.¹,Selim H. H.¹,Gadallah Kamel A. K.²,Hassan I. A.²,Abouelmagd Elbaz I.¹

Affiliation:

1. Celestial Mechanics and Space Dynamics Research Group (CMSDRG), Astronomy Department , National Research Institute of Astronomy and Geophysics (NRIAG) , Helwan – - Cairo - Egypt .

2. Astronomy Department, Faculty of science , AL-Azher university , Cairo - Egypt .

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2020.2.00022

Reference36 articles.

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2. Abouelmagd E. I., Alzahrani F., Guiro J. L. G., Hobiny A. (2016), Periodic orbits around the collinear libration points, J. Nonlinear Sci. Appl. (JNSA). 9 (4): 1716 – 1727. Doi:10.22436/jnsa.009.04.27

3. Abouelmagd E. I., Asiri H. M., Sharaf M. A. (2013), The effect of oblateness in the perturbed restricted three-body problem, Meccanica 48: 2479 – 2490. Doi 10.1007/S11012-013-9762-3

4. Abouelmagd, E.I., Awad, M.E., Elzayat, E.M.A., Abbas, I.A. (2014), Reduction the secular solution to periodic solution in the generalized restricted three-body problem, Astrophys. Space Sci. 341: 495 – 505. Doi:10.1007/s10509-013-1756-z

5. Abouelmagd E. I., El-Shaboury S. M. (2012), Periodic orbits under combined effects of oblateness and radiation in the restricted problem of three bodies, Astrophys. Space Sci. 341: 331 – 341. Doi : 10.1007/s10509-012-1093-7

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