Periodic Solutions for Circular Restricted -Body Problems

Periodic Solutions for Circular Restricted -Body Problems

For circular restricted -body problems, we study the motion of a sufficiently small mass point (called the zero mass point) in the plane of equal masses located at the vertices of a regular polygon. By using variational minimizing methods, for some , we prove the existence of the noncollision perio...

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Main Authors: Xiaoxiao Zhao, Wei Li, Peng Wang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/173639
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spelling doaj-2353104894c340c4981076e08803f04a2020-11-24T22:07:44ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/173639173639Periodic Solutions for Circular Restricted -Body ProblemsXiaoxiao Zhao0Wei Li1Peng Wang2College of Mathematics, Sichuan University, Chengdu 610064, ChinaSchool of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, ChinaCollege of Mathematics, Sichuan University, Chengdu 610064, ChinaFor circular restricted -body problems, we study the motion of a sufficiently small mass point (called the zero mass point) in the plane of equal masses located at the vertices of a regular polygon. By using variational minimizing methods, for some , we prove the existence of the noncollision periodic solution for the zero mass point with some fixed wingding number.http://dx.doi.org/10.1155/2013/173639
collection DOAJ
language English
format Article
sources DOAJ
author Xiaoxiao Zhao
Wei Li
Peng Wang
spellingShingle Xiaoxiao Zhao
Wei Li
Peng Wang
Periodic Solutions for Circular Restricted -Body Problems
Abstract and Applied Analysis
author_facet Xiaoxiao Zhao
Wei Li
Peng Wang
author_sort Xiaoxiao Zhao
title Periodic Solutions for Circular Restricted -Body Problems
title_short Periodic Solutions for Circular Restricted -Body Problems
title_full Periodic Solutions for Circular Restricted -Body Problems
title_fullStr Periodic Solutions for Circular Restricted -Body Problems
title_full_unstemmed Periodic Solutions for Circular Restricted -Body Problems
title_sort periodic solutions for circular restricted -body problems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description For circular restricted -body problems, we study the motion of a sufficiently small mass point (called the zero mass point) in the plane of equal masses located at the vertices of a regular polygon. By using variational minimizing methods, for some , we prove the existence of the noncollision periodic solution for the zero mass point with some fixed wingding number.
url http://dx.doi.org/10.1155/2013/173639
work_keys_str_mv AT xiaoxiaozhao periodicsolutionsforcircularrestrictedbodyproblems
AT weili periodicsolutionsforcircularrestrictedbodyproblems
AT pengwang periodicsolutionsforcircularrestrictedbodyproblems
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