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

• 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 Poland
• Subjects: 37N05; 70F07; 70F15; Asteroids belt effect; Linear Stability; Periodic orbits; Restricted three bodies problem

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...