The Periodic Solutions for Planar -Body Problems
Based on the works of Perko and Walter, Moeckel and Simo, and Zhang and Zhou, we study the necessary conditions and suffcient conditions for the uniformly rotating planar nested regular polygonal periodic solutions for the -body problems.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/397194 |
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| _version_ | 1832551640713920512 |
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| author | Xiaohong Hu Changrong Zhu |
| author_facet | Xiaohong Hu Changrong Zhu |
| author_sort | Xiaohong Hu |
| collection | DOAJ |
| description | Based on the works of Perko and Walter, Moeckel and Simo, and Zhang and Zhou, we
study the necessary conditions and suffcient conditions for the uniformly rotating planar
nested regular polygonal periodic solutions for the -body problems. |
| format | Article |
| id | doaj-art-e315b248190c4651bcf5bdc4fcb510ea |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e315b248190c4651bcf5bdc4fcb510ea2025-02-03T06:01:02ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/397194397194The Periodic Solutions for Planar -Body ProblemsXiaohong Hu0Changrong Zhu1College of Mathematics, Sichuan University, Chengdu 610064, ChinaDepartment of Mathematics, Chongqing University, Chongqing 400044, ChinaBased on the works of Perko and Walter, Moeckel and Simo, and Zhang and Zhou, we study the necessary conditions and suffcient conditions for the uniformly rotating planar nested regular polygonal periodic solutions for the -body problems.http://dx.doi.org/10.1155/2013/397194 |
| spellingShingle | Xiaohong Hu Changrong Zhu The Periodic Solutions for Planar -Body Problems Abstract and Applied Analysis |
| title | The Periodic Solutions for Planar -Body Problems |
| title_full | The Periodic Solutions for Planar -Body Problems |
| title_fullStr | The Periodic Solutions for Planar -Body Problems |
| title_full_unstemmed | The Periodic Solutions for Planar -Body Problems |
| title_short | The Periodic Solutions for Planar -Body Problems |
| title_sort | periodic solutions for planar body problems |
| url | http://dx.doi.org/10.1155/2013/397194 |
| work_keys_str_mv | AT xiaohonghu theperiodicsolutionsforplanarbodyproblems AT changrongzhu theperiodicsolutionsforplanarbodyproblems AT xiaohonghu periodicsolutionsforplanarbodyproblems AT changrongzhu periodicsolutionsforplanarbodyproblems |