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PERIODIC ORBITS FOR THE PERTURBED PLANAR CIRCULAR RESTRICTED 3-BODY PROBLEM
Journal article   Open access  Peer reviewed

PERIODIC ORBITS FOR THE PERTURBED PLANAR CIRCULAR RESTRICTED 3-BODY PROBLEM

Elbaz Abouelmagd, Juan Luis Garcia Guirao, Jaume L. Libre and Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah, Saudi Arabia
Discrete and continuous dynamical systems. Series B, Vol.24(3), pp.1007-1020
01/03/2019
DOI: https://doi.org/10.3934/dcdsb.2019003

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We characterize when the classical first and second kind of periodic orbits of the planar circular restricted 3-body problem obtained by Poincare, can be extended to perturbed planar circular restricted 3-body problems. We put special emphasis when the perturbed forces are due to zonal harmonic or to a solar sail.
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https://doi.org/10.3934/dcdsb.2019003View
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