On the Existence of Central Configurations of 2k+2p+2l-Body Problems
We prove the existence of central configurations of the 2k+2p+2l-body problems with Newtonian potentials in R3. In such configuration, 2k masses are symmetrically located on the z-axis, 2p masses are symmetrically located on the y-axis, and 2l masses are symmetrically located on the x-axis, respecti...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/629467 |
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| author | Yueyong Jiang Furong Zhao |
| author_facet | Yueyong Jiang Furong Zhao |
| author_sort | Yueyong Jiang |
| collection | DOAJ |
| description | We prove the existence of central configurations of the 2k+2p+2l-body problems with Newtonian potentials in R3. In such configuration, 2k masses are symmetrically located on the z-axis, 2p masses are symmetrically located on the y-axis, and 2l masses are symmetrically located on the x-axis, respectively; the masses symmetrically about the origin are equal. |
| format | Article |
| id | doaj-art-6f1f18e40cd74c59afe9ddda94e7df24 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-6f1f18e40cd74c59afe9ddda94e7df242025-02-03T01:21:34ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/629467629467On the Existence of Central Configurations of 2k+2p+2l-Body ProblemsYueyong Jiang0Furong Zhao1Department of Mathematics and Computer Science, Mianyang Normal University, Mianyang, Sichuan 621000, ChinaDepartment of Mathematics and Computer Science, Mianyang Normal University, Mianyang, Sichuan 621000, ChinaWe prove the existence of central configurations of the 2k+2p+2l-body problems with Newtonian potentials in R3. In such configuration, 2k masses are symmetrically located on the z-axis, 2p masses are symmetrically located on the y-axis, and 2l masses are symmetrically located on the x-axis, respectively; the masses symmetrically about the origin are equal.http://dx.doi.org/10.1155/2014/629467 |
| spellingShingle | Yueyong Jiang Furong Zhao On the Existence of Central Configurations of 2k+2p+2l-Body Problems Advances in Mathematical Physics |
| title | On the Existence of Central Configurations of 2k+2p+2l-Body Problems |
| title_full | On the Existence of Central Configurations of 2k+2p+2l-Body Problems |
| title_fullStr | On the Existence of Central Configurations of 2k+2p+2l-Body Problems |
| title_full_unstemmed | On the Existence of Central Configurations of 2k+2p+2l-Body Problems |
| title_short | On the Existence of Central Configurations of 2k+2p+2l-Body Problems |
| title_sort | on the existence of central configurations of 2k 2p 2l body problems |
| url | http://dx.doi.org/10.1155/2014/629467 |
| work_keys_str_mv | AT yueyongjiang ontheexistenceofcentralconfigurationsof2k2p2lbodyproblems AT furongzhao ontheexistenceofcentralconfigurationsof2k2p2lbodyproblems |