Periodic orbit in the frame work of restricted three bodies under the asteroids belt effect
, , , und | 20. Aug. 2020
Online veröffentlicht: 20. Aug. 2020
Seitenbereich: 157 - 176
Eingereicht: 05. Juli 2019
Akzeptiert: 20. Nov. 2019
DOI: https://doi.org/10.2478/amns.2020.2.00022
Schlüsselwörter
© 2020 Ahmed A. Abozaid et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
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.