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

Elbaz I. Abouelmagd; Juan Luis García Guirao; Jaume Llibre

doi:10.3934/dcdsb.2019003

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

Elbaz I. Abouelmagd, Juan Luis García Guirao, Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research

22 Citations (Scopus)

Abstract

© 2019 American Institute of Mathematical Sciences. All Rights Reserved. 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.

Original language	English
Pages (from-to)	1007-1020
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	24
DOIs	https://doi.org/10.3934/dcdsb.2019003
Publication status	Published - 1 Mar 2019

Keywords

Circular restricted 3–body problem
Periodic orbits continuation
Perturbed forces
Solar sail
Zonal harmonic

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title = "Periodic orbits for the perturbed planar circular restricted 3–body problem",

abstract = "{\textcopyright} 2019 American Institute of Mathematical Sciences. All Rights Reserved. We characterize when the classical first and second kind of periodic orbits of the planar circular restricted 3–body problem obtained by Poincar{\'e}, 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.",

keywords = "Circular restricted 3–body problem, Periodic orbits continuation, Perturbed forces, Solar sail, Zonal harmonic",

author = "Abouelmagd, {Elbaz I.} and {Garc{\'i}a Guirao}, {Juan Luis} and Jaume Llibre",

year = "2019",

month = mar,

day = "1",

doi = "10.3934/dcdsb.2019003",

language = "English",

volume = "24",

pages = "1007--1020",

journal = "Discrete and Continuous Dynamical Systems - Series B",

issn = "1531-3492",

publisher = "Southwest Missouri State University",

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TY - JOUR

T1 - Periodic orbits for the perturbed planar circular restricted 3–body problem

AU - Abouelmagd, Elbaz I.

AU - García Guirao, Juan Luis

AU - Llibre, Jaume

PY - 2019/3/1

Y1 - 2019/3/1

N2 - © 2019 American Institute of Mathematical Sciences. All Rights Reserved. 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.

AB - © 2019 American Institute of Mathematical Sciences. All Rights Reserved. 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.

KW - Circular restricted 3–body problem

KW - Periodic orbits continuation

KW - Perturbed forces

KW - Solar sail

KW - Zonal harmonic

U2 - 10.3934/dcdsb.2019003

DO - 10.3934/dcdsb.2019003

M3 - Article

VL - 24

SP - 1007

EP - 1020

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

SN - 1531-3492

ER -