2019Discrete and Continuous Dynamical Systems - BOpen access

Periodic orbits for the perturbed planar circular restricted 3–body problem

Elbaz I. Abouelmagd, Juan L. G. Guirao, Jaume Llibre

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Abstract

We characterize when the classical first and second kind of periodic orbits of the planar circular restricted $ 3 $–body problem obtained by Poincaré, 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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We characterize when the classical first and second kind of periodic orbits of the planar circular restricted $ 3 $–body problem obtained by Poincaré, 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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Available abstract

We characterize when the classical first and second kind of periodic orbits of the planar circular restricted $ 3 $–body problem obtained by Poincaré, 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.

Key concepts: Planar, Three-body problem, Physics, Circular orbit, Classical mechanics, Harmonic, Periodic orbits, Mathematics

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