Elemental periodic orbits associated with the libration points in the circular restricted 3-body problem

被引：87

作者：

Doedel, E. J. ^{[1
]}

Romanov, V. A. ^{[1
]}

Paffenroth, R. C. ^{[2
]}

Keller, H. B. ^{[2
]}

Dichmann, D. J.

Galán-Vioque, J. ^{[3
]}

Vanderbauwhede, A. ^{[4
]}

机构：

[1] Concordia Univ, Dept Comp Sci, Montreal, PQ H3G 1M8, Canada

[2] CALTECH, Pasadena, CA 91125 USA

[3] Univ Seville, Escuela Super Ingn, E-41092 Seville, Spain

[4] Univ Ghent, Vakgroep Zuiverre Wiskunde Comp Algebra, B-9000 Ghent, Belgium

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2007年 / 17卷 / 08期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

Circular Restricted 3-Body Problem; libration points; periodic orbits; numerical continuation; bifurcation diagrams;

D O I：

10.1142/S0218127407018671

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present an overview of detailed computational results for families of periodic orbits that emanate from the five libration points in the Circular Restricted 3-Body Problem, as well as for various secondary bifurcating families. Our extensive overview covers all values of the mass-ratio parameter, and includes many known families that have been studied in the past. The numerical continuation and bifurcation algorithms employed in our study are based on boundary value techniques, as implemented in the numerical continuation and bifurcation software AUTO.

引用

页码：2625 / 2677

页数：53

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