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

被引：39
|
作者：
Abouelmagd, Elbaz, I [1 ,2 ]
Garcia Guirao, Juan Luis [3 ]
Libre, Jaume L. [4 ]
机构：
[1] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Math Dept, Jeddah, Saudi Arabia
[2] NRIAG, Celestial Mech Unit, Astron Dept, Cairo 11421, Egypt
[3] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Hosp Marina, Cartagena 30203, Region De Murci, Spain
[4] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2019年 / 24卷 / 03期
关键词：
Periodic orbits continuation; circular restricted 3-body problem; perturbed forces; zonal harmonic; solar sail; NUMERICAL-INTEGRATION; GLOBAL FLOW; STABILITY; EXISTENCE; FAMILIES; POINTS;
D O I：
10.3934/dcdsb.2019003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：1007 / 1020
页数：14
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